Hugging Face's logo

Datasets:
autoevaluate
/
autoeval-staging-eval-squad_v2-squad_v2-76c05b-14906067

Modalities:
Text
Formats:
parquet
Size:
10K - 100K
Tags:
Trained with AutoTrain
evaluation
Libraries:
Datasets
pandas
Dataset card Data Studio Files Community
Dataset Viewer
Auto-converted to Parquet
context
stringlengths
169
4.06k
question
stringlengths
12
197
answers.text
sequence
answers.answer_start
sequence
feat_id
sequence
feat_title
sequence
start_logits
sequence
end_logits
sequence
Provided is a universal Ku band LNB (9.75/10.600 GHz) which is fitted at the end of the dish and pointed at the correct satellite constellation; most digital receivers will receive the free to air channels. Some broadcasts are free-to-air and unencrypted, some are encrypted but do not require a monthly subscription (known as free-to-view), some are encrypted and require a monthly subscription, and some are pay-per-view services. To view the encrypted content a VideoGuard UK equipped receiver (all of which are dedicated to the Sky service, and cannot be used to decrypt other services) needs to be used. Unofficial CAMs are now available to view the service, although use of them breaks the user's contract with Sky and invalidates the user's rights to use the card.
What is the universal band that digital recievers will receive free to air channels on?
[ "9.75/10.600 GHz", "universal Ku band", "Ku band" ]
[ 37, 14, 24 ]
[ "57096c95200fba1400367fbe", "57096c95200fba1400367fbe", "57096c95200fba1400367fbe" ]
[ "Sky_(United_Kingdom)", "Sky_(United_Kingdom)", "Sky_(United_Kingdom)" ]
[ 1.1123046875, -8.8984375, -9.5390625, -8.4296875, -7.37109375, -8.4765625, -9.5546875, -8.90625, -9.0234375, -9.921875, -9.4921875, -9.21875, -8.5703125, -8.9921875, -9.2109375, -9.203125, -8.703125, -9.1640625, -8.515625, -8.671875, 0.3896484375, -4.56640625, -3.74609375, 2.41015625, 2.466796875, 6.83984375, -0.81982421875, 3.2265625, -2.5078125, 0.80712890625, 3.5703125, -3.486328125, -3.87109375, -2.689453125, -2.546875, -4.24609375, -1.8876953125, -1.8056640625, -3.146484375, -4.8359375, -6.26171875, -3.587890625, -3.4375, -3.759765625, -3.5546875, -5.8515625, -4.890625, -3.92578125, -7.75, -2.38671875, -4.5, -4.046875, -3.982421875, -2.544921875, -4.875, -4.4140625, -3.373046875, -4.2890625, -5.109375, -6.140625, -6.66796875, -5.98828125, -6.0078125, -7.0859375, -8.0703125, -6.52734375, -4.3359375, -6.171875, -6.828125, -9.0234375, -5.34375, -8.6171875, -7.3203125, -7.72265625, -8.3984375, -9.1875, -6.87890625, -6.87109375, -8.9921875, -6.83984375, -9.34375, -7.03515625, -9.484375, -8.6484375, -8.96875, -9.1953125, -8.6015625, -8.5546875, -7.9375, -7.65234375, -7.4921875, -9.1171875, -6.4140625, -8.984375, -8.1640625, -4.62890625, -8.125, -8.640625, -7.54296875, -9.875, -7.7421875, -9.6953125, -8.859375, -8.734375, -8.5390625, -8.453125, -8.5859375, -9.453125, -8.3203125, -9.765625, -7.46484375, -9.53125, -9.0078125, -8.1015625, -9.1875, -8.6875, -4.3359375, -8.3046875, -9.1875, -8.859375, -8.0234375, -8.8984375, -8.0390625, -6.60546875, -8.9140625, -8.4921875, -9.8203125, -9.1171875, -8.546875, -8.1875, -9.625, -9.5, -9.1328125, -8.3046875, -9.25, -8.75, -6.94140625, -8.6171875, -9.15625, -9.1328125, -8.3125, -9.5078125, -8.7578125, -9.5703125, -9.0703125, -9.265625, -9.078125, -8.7578125, -8.46875, -9.5390625, -9.6875, -9.140625, -9, -6.43359375, -8.390625, -6.8125, -8.9609375, -9.8671875, -8.765625, -8.953125, -9.140625, -8.9296875, -6.58984375, -7.53125, -9.1015625, -8.4375, -7.890625, -9.7265625, -8.4609375, -8.2265625, -6.78125, -7.8984375, -9.6015625, -7.90234375, -8.6484375, -4.953125, -9.21875, -7.86328125, -8.90625, -8.375, -8.3828125, -9.640625, -8.8984375, -9.40625, -8.609375, -8.6328125, -8.28125, -4.3359375, -7.35546875, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625, -10.2265625 ]
[ -0.0810546875, -8.109375, -9.703125, -9.328125, -9.59375, -7.9140625, -9.1171875, -9.8046875, -9.875, -7.7578125, -9.5, -8.765625, -9.84375, -8.7734375, -8.2578125, -7.88671875, -8.296875, -7.18359375, -8.03125, -8.3125, -5.23828125, -4.328125, -6.49609375, -5.33984375, -4.68359375, 2.529296875, 4.04296875, -4.4140625, 3.69921875, -4.8984375, -3.931640625, -5.09765625, -3.337890625, -5.21484375, -3.0078125, -6.51953125, -2.4453125, 4.0078125, 4.6171875, -5.31640625, -7.51953125, -3.265625, -7.62890625, -6.81640625, -4.4609375, -7.85546875, -6.0703125, -1.80859375, -7.296875, -3.763671875, -7.359375, -7.3359375, -5.9453125, -4.29296875, -0.8955078125, -3.353515625, -4.25, -5.22265625, -3.255859375, -7.87890625, -6.8359375, -7.12109375, -7.39453125, -7.85546875, -6.0625, -2.255859375, -3, -8.515625, -7.29296875, -10.234375, -8.453125, -10.0390625, -8.8984375, -8.390625, -7.10546875, -9.96875, -9.890625, -5.81640625, -8.5078125, -9.078125, -10.5234375, -7.3359375, -10.171875, -10.3359375, -9.6875, -9.5703125, -9.0078125, -8.4921875, -6.58984375, -9.359375, -9.3125, -10.296875, -9.34375, -9.875, -9.5703125, -7.42578125, -7.37890625, -8.6796875, -9.7734375, -10.7109375, -7.43359375, -9.9921875, -10.0078125, -10.2265625, -8.8359375, -7.16796875, -7.97265625, -10.359375, -10.0390625, -10.640625, -9.375, -10.296875, -9.5390625, -7.91015625, -8.5234375, -7.71875, -2.99609375, -10.890625, -10.8125, -9.40625, -8.984375, -8.328125, -10.5625, -9.421875, -8.234375, -7.640625, -8.9453125, -8.78125, -10.5078125, -10.265625, -10.765625, -10.25, -11.0078125, -10.1953125, -10.6484375, -10.1875, -7.32421875, -7.49609375, -8.34375, -9.890625, -10.265625, -10.8125, -10.3359375, -11, -9.3359375, -10.375, -8.3359375, -9.359375, -10.1640625, -10.2265625, -10.328125, -8.7890625, -9.1484375, -9.25, -8.7734375, -7.8359375, -7.421875, -10.2109375, -9.59375, -8.390625, -10.34375, -9.8046875, -7.68359375, -6.67578125, -8.6328125, -9.46875, -9.9375, -10.3046875, -8.8828125, -10.34375, -7.953125, -8.453125, -9.5234375, -7.9609375, -9.890625, -5.91015625, -9.84375, -10.2265625, -9.78125, -9.96875, -9.484375, -10.078125, -9.5625, -10.6328125, -10.078125, -10.0625, -8.1328125, -2.998046875, -7.51953125, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375 ]
At the beginning of the 20th century, important advancement in geological science was facilitated by the ability to obtain accurate absolute dates to geologic events using radioactive isotopes and other methods. This changed the understanding of geologic time. Previously, geologists could only use fossils and stratigraphic correlation to date sections of rock relative to one another. With isotopic dates it became possible to assign absolute ages to rock units, and these absolute dates could be applied to fossil sequences in which there was datable material, converting the old relative ages into new absolute ages.
What did using fossils help change for scientists?
[ "" ]
[ -1 ]
[ "5a57f487770dc0001aeefefd" ]
[ "Geology" ]
[ 5.1640625, -9.2265625, -9.75, -9.1953125, -10, -9.25, -9.25, -9.3671875, -9.1953125, -9.9296875, -9.2734375, -9.59375, -8.4921875, -9.125, -8.921875, -9.6015625, -9.625, -8.3984375, -9.5, -9.5859375, -9.765625, -8.71875, -9.0859375, -9.625, -8.0546875, -9.390625, -9.8359375, -9.078125, -9.4375, -9.1875, -8.8203125, -9.578125, -8.7734375, -8.71875, -9.0625, -8.125, -9.328125, -7.1015625, -9.1484375, -8.2734375, -8.953125, -8.4609375, -8.703125, -8.8203125, -10.28125, -9.171875, -9.03125, -9.0703125, -6.125, -5.359375, -4.08984375, -3.572265625, -8.1015625, -2.916015625, -7.36328125, -4.953125, -7.84375, -7.7734375, -9.46875, -7.7890625, -9.5703125, -8.0546875, -7.91015625, -7.8203125, -7.7109375, -9.6015625, -7.45703125, -9.6015625, -9.578125, -8.859375, -6.546875, -7.0625, -7.13671875, -9.0625, -7.83203125, -8.5859375, -9.1171875, -8.6796875, -9.2109375, -7.84375, -8.59375, -8.6328125, -9.7890625, -9.5546875, -9.203125, -9.46875, -9.25, -9.4921875, -8.7734375, -9.2421875, -8.0625, -9.6875, -8.890625, -9.53125, -9.9296875, -9.671875, -9.046875, -9.4921875, -9.7578125, -8.8984375, -9.6171875, -9.65625, -9.7265625, -9.484375, -9.9140625, -9.9296875, -9.6953125, -9.9921875, -9.8671875, -8.9609375, -9.8828125, -9.4921875, -9.859375, -7.51171875, -8.6640625, -8.640625, -8.8828125, -8.8359375, -9.375, -8.234375, -8.8359375, -7.65234375, -7.84375, -7.57421875, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625, -10.5390625 ]
[ 4.40625, -9.6875, -10.1015625, -10.6640625, -9.875, -9.890625, -9.046875, -9.3359375, -8.96875, -9.0546875, -9.859375, -9.84375, -10.7109375, -9.484375, -10.4375, -10.7109375, -10.5234375, -10.359375, -10.328125, -9.296875, -9.4375, -10.328125, -9.5234375, -10.3046875, -9.25, -9.09375, -10.4296875, -9.71875, -10.46875, -10.8125, -10.6875, -10.5234375, -10.2578125, -10.3359375, -10.3828125, -8.125, -9.984375, -10.1875, -8.203125, -7.41015625, -10.390625, -10.0234375, -10.3671875, -8.2265625, -10.34375, -10.015625, -8.5078125, -8.4921875, -8.875, -8.6328125, -8.53125, -6.16015625, -8.9296875, -7.96484375, -7.24609375, -3.900390625, -7.62109375, -9.8046875, -9.875, -11.140625, -9.3828125, -10.390625, -10.765625, -10.5390625, -9.5625, -10.65625, -10.734375, -10.71875, -9.734375, -9.53125, -10.78125, -9.625, -8.890625, -10.1484375, -6.91015625, -9.3671875, -10.0625, -9.4453125, -7.41015625, -7.62109375, -10.8046875, -10.5859375, -9.4921875, -8.8515625, -10.7265625, -9.953125, -9.7890625, -10.4921875, -10.4765625, -10.4140625, -7.19921875, -9.9453125, -9.421875, -7.95703125, -9.125, -10.3515625, -10.1640625, -10.359375, -9.234375, -10.25, -10.28125, -9.9375, -10.3359375, -9.9921875, -8.578125, -10.3984375, -10.140625, -10.5859375, -10.46875, -10.1640625, -9.734375, -8.8359375, -9.2734375, -9.828125, -10.8359375, -10.6953125, -10.359375, -7.97265625, -10.6171875, -10.8359375, -10.6328125, -6.44921875, -7.62109375, -7.01171875, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625, -10.8515625 ]
However, attempting to reconcile electromagnetic theory with two observations, the photoelectric effect, and the nonexistence of the ultraviolet catastrophe, proved troublesome. Through the work of leading theoretical physicists, a new theory of electromagnetism was developed using quantum mechanics. This final modification to electromagnetic theory ultimately led to quantum electrodynamics (or QED), which fully describes all electromagnetic phenomena as being mediated by wave–particles known as photons. In QED, photons are the fundamental exchange particle, which described all interactions relating to electromagnetism including the electromagnetic force.[Note 4]
What was used to create a new electromagnetic theory to reconcile the troubles with electromagnetic theory as it used to stand?
[ "quantum mechanics", "the work of leading theoretical physicists", "quantum mechanics", "quantum mechanics" ]
[ 283, 186, 283, 283 ]
[ "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba" ]
[ "Force", "Force", "Force", "Force" ]
[ 1.603515625, -8.8515625, -9.6484375, -8.8359375, -9.359375, -8.5546875, -8.3125, -8.4609375, -8.25, -8.7109375, -8.984375, -8.6953125, -8.3359375, -8.625, -8.5390625, -7.203125, -9.0390625, -9.3046875, -8.4140625, -9.0234375, -8.1015625, -8.5703125, -8.1328125, -6.25390625, -7.7109375, -5.08203125, -7.8203125, -4.15625, -5.4296875, -5.375, -2.3515625, -5.39453125, -7.1796875, -4.078125, -4.19921875, -7.453125, -1.9580078125, -1.533203125, -6.8984375, -6.63671875, -8.84375, -7.203125, -3.875, -2.228515625, -6.86328125, -7.5390625, -4.6328125, -4.24609375, -5.63671875, -6.84375, -3.74609375, -3.1640625, -2.2890625, -1.3662109375, -3.0625, -2.74609375, -6.875, -1.9638671875, -1.21875, -1.990234375, -6.625, 0.311279296875, -0.81005859375, -2.228515625, -7.4765625, -3.365234375, -6.27734375, -7, -6.890625, -6.296875, -1.81640625, 1.4892578125, 8.5390625, 0.75390625, -2.287109375, -4.8359375, -6.55078125, -4.984375, -5.859375, -1.1474609375, -5.12890625, -5.43359375, -4.48046875, -6.2265625, -0.54345703125, -4.41015625, -5.77734375, -5.234375, -5.28125, -6.00390625, -5.0859375, 0.61279296875, -2.865234375, -6.70703125, -6.88671875, -6.55078125, -6.67578125, -5.96875, -5.4140625, -6.859375, -8.25, -6.8125, -4.52734375, -6.5390625, -3.59765625, -7.00390625, -6.29296875, -7.0703125, -8.1171875, -8.1640625, -4.1484375, -2.287109375, -3.060546875, 1.1953125, -4.640625, -8.1796875, -4.09375, -7.9453125, -6.53125, -5.32421875, -7.05859375, -5.8125, -8.3671875, -7.14453125, -7.3671875, -5.8515625, -6.7265625, -7.60546875, -7.41796875, -3.75390625, -6.171875, -7.20703125, -7.19921875, -7.32421875, -5.69140625, -5.3984375, -6.75390625, -6.33984375, -6.28125, -4.84765625, -6.91796875, -5.74609375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375, -9.375 ]
[ 0.212890625, -8.4140625, -8.8828125, -8.5859375, -8.7265625, -9.4375, -9.53125, -9.546875, -7.90625, -7.77734375, -8.578125, -7.12109375, -6.88671875, -8.109375, -8.78125, -9.078125, -7.29296875, -9.234375, -8.953125, -9.109375, -7.88671875, -6.16796875, -6.67578125, -8.625, -7.19921875, -6.71484375, -6.58203125, -7.77734375, -8.8203125, -7.03515625, -5.88671875, -5.0390625, -7.82421875, -7.56640625, -5.50390625, -6.5078125, -7.67578125, -6.61328125, -5.0625, -4.2421875, -6.14453125, -8.421875, -8.4453125, -7.3515625, -4.91015625, -7.89453125, -7.76953125, -5.55859375, -1.9140625, -3.826171875, -7.4296875, -4.2890625, 0.55712890625, -6.85546875, -7.77734375, -6.5390625, -6.40234375, -6.8125, -5.94140625, -3.10546875, -3.509765625, -7.2265625, -5.99609375, -3.79296875, -7.27734375, -7.0703125, -7.32421875, -6.921875, -3.55859375, -6.4921875, -5.3671875, -5.84375, -0.9287109375, 6.8671875, 0.55859375, -6.3203125, -6.625, -5.828125, -8.0234375, -5.4453125, -4.50390625, -7.41796875, -8.0859375, -8.8671875, -5.01171875, -7.03125, -6.8359375, -5.75390625, -1.9189453125, -7.671875, -8.59375, -6.359375, -3.078125, -3.123046875, -8.4296875, -8.765625, -8.046875, -8.9609375, -6.37890625, -5.84375, -8.5078125, -8.5703125, -7.2421875, -8.53125, -7.0546875, -7.6328125, -7.5859375, -4.75, -8.2109375, -9.21875, -4.7578125, 0.5576171875, -9.15625, -5.6171875, -1.59765625, -3.994140625, -4.7734375, -7.33203125, -8.5078125, -8.21875, -7.6796875, -4.54296875, -5.265625, -8.5546875, -9.3984375, -9.203125, -6.65234375, -8.515625, -9.234375, -8.3515625, -8.5859375, -8.234375, -5.328125, -9.1015625, -9.53125, -7.26171875, -4.75, -6.9765625, -8.21875, -5.1328125, -7.37890625, -3.66015625, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875, -10.4296875 ]
Packet mode communication may be implemented with or without intermediate forwarding nodes (packet switches or routers). Packets are normally forwarded by intermediate network nodes asynchronously using first-in, first-out buffering, but may be forwarded according to some scheduling discipline for fair queuing, traffic shaping, or for differentiated or guaranteed quality of service, such as weighted fair queuing or leaky bucket. In case of a shared physical medium (such as radio or 10BASE5), the packets may be delivered according to a multiple access scheme.
If there is no radio or 10BASE5, how are the packets delivered?
[ "" ]
[ -1 ]
[ "5a66797c846392001a1e1c4b" ]
[ "Packet_switching" ]
[ 1.720703125, -8.7109375, -9.109375, -9.7265625, -9.3203125, -9.5, -10.21875, -8.828125, -9.5234375, -10.1640625, -10.3359375, -9.7734375, -9.1015625, -9.7890625, -9.4453125, -9.890625, -9.546875, -9.5625, -8.890625, -8.890625, -5.06640625, -8.0625, -7.80859375, -8.015625, -7.94921875, -9.484375, -7.2890625, -7.58984375, -9.1015625, -7.76171875, -4.671875, -5.8671875, -6.66796875, -7.2578125, -5.03515625, -8.7109375, -6.046875, -9.125, -6.10546875, -7.4765625, -5.5078125, -8.75, -9.2734375, -7.48828125, -6.28515625, -6.9140625, -4.98046875, -7.0703125, -7.16015625, -4.51953125, -7.15234375, -7.28515625, -7.265625, -5.1796875, -8.609375, -8.6953125, -9.0234375, -4.578125, -8.3671875, -7.55859375, -4.37890625, -6.3046875, -8.796875, -8.5546875, -7.24609375, -8.265625, -5.59765625, -6.6796875, -8.5078125, -6.0703125, -5.70703125, -7.203125, -8.8359375, -6.234375, -6.54296875, -7.17578125, -8.578125, -6.73828125, -7.34765625, -9.09375, -8.9765625, -8.71875, -6.69140625, -8.8515625, -5.125, -4.8359375, -8.328125, -7.76953125, -8.6875, -8.3203125, -9.1953125, -6.46875, -4.9375, -6.234375, -7.65625, -8.4140625, -4.06640625, -6.734375, -5.64453125, -6.1328125, -3.05859375, -5.94140625, -6.765625, -3.7421875, -2.37890625, -4.48828125, -5.625, -7.296875, -7.609375, -9.21875, -8.2890625, -9.0625, -5.24609375, -6.85546875, -6.9765625, -8.421875, -6.67578125, -1.7353515625, -2.37890625, -2.236328125, -4.24609375, -0.92529296875, 0.912109375, -2.72265625, 1.6328125, 2.662109375, -1.8779296875, -3.28515625, -6.1328125, -4.7109375, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875 ]
[ 0.90234375, -10.140625, -10.171875, -10.015625, -10.0078125, -9.5, -9.828125, -10.3671875, -9.7734375, -9.5390625, -7.51171875, -8.125, -9.65625, -9.625, -9.890625, -9.9609375, -9.359375, -8.1875, -8.9765625, -8.8046875, -8.6640625, -7.796875, -7.0078125, -7.47265625, -9.578125, -10.03125, -8.453125, -10.2890625, -10.484375, -9.7109375, -8.3984375, -7.51953125, -5.69921875, -9.78125, -8.4140625, -8.9921875, -7.00390625, -10.2265625, -6.52734375, -8.0625, -8.75, -7.97265625, -10.1796875, -9.546875, -7.546875, -9.734375, -8.2265625, -8.578125, -6.234375, -8.828125, -8.6328125, -5.69921875, -9.2265625, -8.4140625, -10.5390625, -9.4296875, -9.7421875, -7.85546875, -10.0234375, -8.890625, -7.99609375, -4.87109375, -8.21875, -9.546875, -9.296875, -10.21875, -7.2890625, -8.890625, -10.0546875, -8.2109375, -7.2109375, -6.23046875, -10.4375, -9.7890625, -9.328125, -7.125, -8.84375, -9.59375, -7.03515625, -9.3203125, -9.9140625, -10.5, -8.359375, -10.3203125, -8.703125, -7.9453125, -9.8828125, -8.1953125, -8.84375, -9.6015625, -10.203125, -9.0234375, -9.4296875, -9.0625, -6.71484375, -9.875, -8.21875, -9.015625, -4.37890625, -5.51953125, -7.421875, -7.671875, -9.359375, -8.921875, -6.171875, -7.41796875, -4.2109375, -8.1328125, -7.84765625, -9.53125, -9.21875, -10.2109375, -9.75, -10.3125, -8.3671875, -8.1640625, -7.5, -8.453125, -5.85546875, -7.484375, -8.484375, -5.81640625, -6.3984375, -8.3984375, -6.61328125, -4.984375, -4.1328125, 1.0517578125, -5.51953125, -1.1298828125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125, -10.6328125 ]
In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.
Which theorem can be simplified to the Lasker–Noether theorem?
[ "The fundamental theorem of arithmetic", "The fundamental theorem of arithmetic", "fundamental theorem of arithmetic", "theorem of arithmetic" ]
[ 413, 413, 417, 429 ]
[ "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510" ]
[ "Prime_number", "Prime_number", "Prime_number", "Prime_number" ]
[ 1.7998046875, -8.9609375, -9.265625, -9.53125, -9.0546875, -8.7578125, -9.5234375, -8.9453125, -7.328125, -8.734375, -10.3359375, -10.1875, -8.6640625, -9.4921875, -10.0234375, -10.28125, -8.8046875, -8.703125, -5.66015625, -4.6328125, -5.5703125, -7.48828125, -5.29296875, -5.19140625, -6.6484375, -5.171875, -7.99609375, -6.359375, -6.0625, -6.91796875, -5.375, -6.375, -4.16796875, -6.40234375, -3.734375, -5.13671875, -8.15625, -7.18359375, -5.25, -6.9453125, -3.939453125, -5.91015625, -7.66796875, -7.3203125, -7.59375, -7.2578125, -4.73046875, -4.96484375, -6.4765625, -6.97265625, -7.65625, -6.12109375, -4.82421875, -6.97265625, -8.0625, -6.06640625, -5.58203125, -6.20703125, -8.421875, -7.82421875, -7.37109375, -6.83203125, -5.390625, -8.2265625, -5.6328125, -8.140625, -6.0078125, -7.29296875, -4.3515625, -6.56640625, -6.3203125, -3.720703125, -7.421875, -1.515625, -5.6171875, -3.03515625, -5.3125, -8.5859375, -2.263671875, -7.2265625, -5.265625, -3.759765625, -2.955078125, -1.7890625, -5.46484375, -6.73828125, -4.66015625, -2.3125, -6.15625, -3.201171875, -8.109375, -6.51953125, -7.0390625, -5.0390625, -5.46875, -7.09765625, -5.87109375, -5.9296875, -7.12890625, -5.7734375, -5.734375, -7.20703125, -5.6953125, -5.5859375, -6.9609375, -5.06640625, -5.7734375, -7.34375, -4.8046875, -4.9453125, -7.49609375, -3.90234375, 7.88671875, 7.53125, 3.33984375, -2.3671875, 2.736328125, -4.078125, -5.74609375, -4.95703125, -0.12548828125, 2.08984375, -4.734375, -5.37890625, -4.41796875, -4.1796875, -5.33203125, -2.787109375, -5.484375, -3.48046875, -1.578125, -1.3671875, -3.962890625, -6.28515625, -4.50390625, -1.314453125, -5.50390625, -6.59375, -4.296875, -6.51953125, -6.7890625, -4.60546875, -4.55078125, -3.1015625, -3.33203125, -6.5, -3.673828125, -4.734375, -6.8984375, -6.0625, -6.12890625, -2.873046875, -4.01953125, -2.119140625, -4.78125, -5.9296875, -1.845703125, -4.5859375, -3.759765625, -5.484375, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625, -9.9765625 ]
[ 0.1500244140625, -9.296875, -8.8203125, -9.6015625, -9.0390625, -8.71875, -9.5, -10.6875, -10.6484375, -9.1328125, -8.3125, -9.6171875, -9.984375, -7.6171875, -7.6640625, -6.65625, -8.953125, -9.578125, -8.328125, -6.98828125, -5.47265625, -8.2734375, -8.2421875, -7.4765625, -8.484375, -6.02734375, -9, -7.4921875, -7.36328125, -9.0546875, -8.5390625, -9.015625, -5.7734375, -7.70703125, -6.00390625, -3.87109375, -7.09375, -9.1015625, -8.828125, -7.7890625, -6.72265625, -5.03515625, -9.6953125, -9.015625, -8.4765625, -10.203125, -8.53125, -7.390625, -6.6015625, -6.890625, -9.6171875, -9.484375, -6.8671875, -6.11328125, -9.7734375, -9.265625, -7.6640625, -4.75390625, -7.80078125, -9.6015625, -8.953125, -8.265625, -6.63671875, -9.171875, -7.9609375, -8.9921875, -5.77734375, -9.453125, -8.71875, -9.25, -7.75390625, -4.4609375, -7.3984375, -6.47265625, -7.36328125, -5.3046875, -3.01953125, -8.9921875, -6.62890625, -8.0390625, -4.41015625, -2.85546875, -7.78515625, -5.71484375, -3.080078125, -6.74609375, -7.2578125, -5.28515625, -7.546875, -1.3046875, -6.875, -6.97265625, -7.17578125, -9.140625, -7, -6.84375, -9.4296875, -7.19140625, -7.12890625, -9.46875, -7.07421875, -7.21484375, -9.6171875, -7.0625, -7.39453125, -9.515625, -6.8125, -7.2734375, -9.390625, -6.12890625, -6.984375, -5.9609375, -3.091796875, 0.48095703125, 2.30078125, -3.3359375, 5.87109375, -5.0234375, -1.357421875, -6.37890625, -6.44921875, -6.03125, -6.03515625, -2.5390625, -5.9375, -6.76171875, -2.197265625, 1.62890625, -1.3369140625, -7.33203125, -7.55078125, -6.47265625, -5.26953125, -7.94140625, -7.6796875, -7.69140625, -6.3125, -5.734375, -8.1796875, -8.203125, -6.3828125, -2.267578125, -8.34375, -7.84375, -5.328125, -6.23046875, -6.66015625, -1.587890625, -4.58203125, -8.21875, -9.5625, -7.2734375, -7.4609375, -7.4375, -4.9140625, -7.515625, -6.57421875, -1.5869140625, -2.857421875, -2.919921875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875, -10.875 ]
Many complexity classes are defined using the concept of a reduction. A reduction is a transformation of one problem into another problem. It captures the informal notion of a problem being at least as difficult as another problem. For instance, if a problem X can be solved using an algorithm for Y, X is no more difficult than Y, and we say that X reduces to Y. There are many different types of reductions, based on the method of reduction, such as Cook reductions, Karp reductions and Levin reductions, and the bound on the complexity of reductions, such as polynomial-time reductions or log-space reductions.
What are two examples of different types of reduction?
[ "Karp reductions and Levin reductions", "Cook reductions, Karp reductions" ]
[ 469, 452 ]
[ "56e1c9bfe3433e1400423195", "56e1c9bfe3433e1400423195" ]
[ "Computational_complexity_theory", "Computational_complexity_theory" ]
[ 4.30078125, -9, -8.9765625, -6.46484375, -8.3046875, -9.53125, -8.625, -9.6171875, -9.828125, -9.578125, -9.9609375, -9.3671875, -9.1796875, -6.67578125, -6.46875, -8.25, -9.2890625, -7.546875, -6.984375, -7.36328125, -7.296875, -8.046875, -6.0859375, -5.375, -4.37109375, -5.87890625, -6.921875, -8.296875, -6.37109375, -5.4765625, -8.234375, -5.98828125, -6.83203125, -8.2109375, -7.5390625, -7.58984375, -4.37109375, -6.90625, -7.84765625, -7.70703125, -7.46484375, -7.0546875, -8.4296875, -7.0625, -6.5859375, -7.61328125, -6.2734375, -7.51171875, -7.859375, -6.90234375, -8.5703125, -7.5859375, -6.8359375, -4.37109375, -6.6953125, -7.98046875, -8.015625, -5.46875, -6.41015625, -5.23046875, -4.97265625, -7.22265625, -8.328125, -6.109375, -6.1640625, -6.34375, -3.37109375, -7.87109375, -5.48828125, -7.62890625, -4.296875, -7.3984375, -5.71484375, -7.4375, -7.12109375, -8.5078125, -6.796875, -8.109375, -8.4765625, -5.76171875, -7.52734375, -6.890625, -4.515625, -6.4765625, -8.1875, -6.39453125, -4.37109375, -2.5390625, -8.09375, -3.703125, -3.123046875, -5.15625, -6.66015625, -3.001953125, -8.1015625, -2.435546875, -4.6640625, -3.291015625, -2.302734375, -8.2734375, -4.734375, -5.33203125, -1.404296875, -2.09765625, 6.27734375, -1.7705078125, -4.4375, 3.56640625, -4.19140625, -2.365234375, -5.61328125, 0.7919921875, -2.0859375, -4.48046875, -3.740234375, -1.685546875, -3.162109375, -6.203125, -4.03515625, -3.490234375, -7.640625, -4.33203125, -7.8515625, -4.26953125, -4.31640625, 4.625, -1.7197265625, -3.794921875, -4.84765625, -3.837890625, -2.298828125, -6.64453125, -3.818359375, -6.6328125, -5.25390625, -3.8828125, -4.37109375, -4.64453125, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375, -9.609375 ]
[ 2.611328125, -9.4921875, -9.2890625, -7.7109375, -8.625, -8.828125, -9.5703125, -9.0703125, -9.5703125, -8.4140625, -7.7265625, -9.75, -9.96875, -8.3046875, -8.46875, -7.3671875, -9.2109375, -8.484375, -9.4375, -9.25, -8.3515625, -9.890625, -8.8046875, -6.97265625, -0.5322265625, -8.3828125, -7.0859375, -9.2421875, -9.6484375, -7.9921875, -9.6015625, -8.9296875, -8.3515625, -9.7734375, -9.8984375, -7.05078125, -0.53271484375, -9.375, -8.734375, -9.5078125, -8.265625, -8.2109375, -9.671875, -9.5546875, -8.1328125, -9.8515625, -10.3203125, -9.6953125, -10.2109375, -8.1796875, -10.0625, -9.578125, -7.11328125, -0.53173828125, -9.359375, -7.70703125, -8.3515625, -9.2734375, -9.5390625, -8.15625, -7.41796875, -9.609375, -9.6796875, -7.7265625, -9.703125, -9.84375, -6.7734375, -9.8359375, -6.89453125, -8.046875, -8.4609375, -10.0390625, -9.7109375, -10.3515625, -9, -10.046875, -7.4609375, -7.70703125, -10.2109375, -9.328125, -8.9609375, -10.15625, -8.203125, -9.59375, -9.609375, -6.42578125, -0.5322265625, -8.046875, -8.90625, -7.14453125, -7.64453125, -6.421875, -8.9140625, -4.6875, -5.4921875, -8.4453125, -9.5625, -8.8671875, -5.66015625, -8.9765625, -2.931640625, -2.23828125, -7.70703125, -8.2421875, -2.216796875, 1.0625, -2.41796875, -4.4140625, -2.40234375, 0.748046875, -2.3984375, -0.99072265625, 6.23046875, 2.259765625, -8.6875, -8.328125, -6.3828125, -9.203125, -8.546875, -4.8671875, -8.015625, -2.015625, -3.09765625, -8.9375, -8.890625, -6.5546875, -8.1484375, -5.87109375, -7.98828125, -4.84375, -2.4375, -6.33203125, -5.2734375, -7.40234375, -2.798828125, 3.650390625, -0.5322265625, 2.125, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625, -10.9140625 ]
In 1096, Crusaders passing by the siege of Amalfi were joined by Bohemond of Taranto and his nephew Tancred with an army of Italo-Normans. Bohemond was the de facto leader of the Crusade during its passage through Asia Minor. After the successful Siege of Antioch in 1097, Bohemond began carving out an independent principality around that city. Tancred was instrumental in the conquest of Jerusalem and he worked for the expansion of the Crusader kingdom in Transjordan and the region of Galilee.[citation needed]
When did Tancred lay siege to Antioch?
[ "" ]
[ -1 ]
[ "5ad4017a604f3c001a3ffd1f" ]
[ "Normans" ]
[ 4.40625, -8.9140625, -9.4609375, -7.96484375, -9.453125, -10.3828125, -8.453125, -8.6171875, -9.8046875, -9.6015625, -9.71875, -8.5859375, -9.0078125, -6.953125, -2.333984375, -4.11328125, -9.4921875, -7.1328125, -9.375, -8.5703125, -8.3203125, -8.21875, -6.47265625, -9.1015625, -6.81640625, -8.5078125, -7.81640625, -9.0234375, -8.9609375, -8.7890625, -6.1328125, -8.3671875, -8.84375, -8.0078125, -8.625, -8.96875, -7.13671875, -7.91796875, -6.13671875, -8.375, -7.7890625, -8.171875, -9.03125, -7.19921875, -9.0390625, -6.453125, -8.40625, -9.7578125, -9.0625, -8.8828125, -7.359375, -5.48828125, -8.21875, -9.0078125, -8.796875, -7.0546875, -9.0390625, -8.046875, -9.390625, -8.765625, -7.05078125, -8.390625, -8.28125, -8.109375, -7.87890625, -6.66796875, -8.171875, -7.59765625, -6.80078125, -7.5546875, -7.92578125, -5.453125, -8.7578125, -6.796875, -5.03515625, -0.74609375, -2.94921875, -9.4609375, -5.81640625, -9.125, -8.9296875, -7.26171875, -8.3125, -8.84375, -7.86328125, -7.49609375, -9.234375, -8.78125, -8.453125, -8.7421875, -7.359375, -5.5703125, -7.87890625, -8.53125, -9.453125, -8.1796875, -9.1171875, -8.1875, -7.6328125, -9.7734375, -7.0703125, -9.859375, -8.3984375, -9.1015625, -9.328125, -8.859375, -8.09375, -9.734375, -8.625, -7.703125, -8.875, -9.3203125, -6.4296875, -8.9375, -8.6484375, -10.0078125, -8.6328125, -8.0234375, -9.40625, -7.91796875, -8.7109375, -8.6484375, -8.0078125, -8.515625, -9.4375, -8.8671875, -7.56640625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625, -10.5625 ]
[ 3.244140625, -9.6015625, -10.3125, -10.9140625, -10.125, -9.765625, -10.0703125, -8.265625, -9.3046875, -9.1796875, -9.0078125, -8.765625, -8.5625, -10.1328125, -6.265625, -3.654296875, -8.453125, -9.5625, -8.4765625, -9.9765625, -9.359375, -10.25, -9.0234375, -10.203125, -9.9140625, -9.2421875, -7.7109375, -9.9140625, -10.0625, -10.3359375, -9.4765625, -8.7421875, -10.046875, -9.40625, -8.1796875, -10.4375, -10.265625, -9, -9.84375, -9.640625, -7.55859375, -10.5, -10.578125, -8.6328125, -10.4921875, -10.2578125, -9.703125, -10.765625, -9.9140625, -7.2578125, -7.75, -9.4140625, -7.953125, -10.4765625, -10.4453125, -10.1484375, -9.625, -9.6171875, -10.640625, -10.1171875, -7.9453125, -10.296875, -10.28125, -10, -10.640625, -10, -7.71484375, -7.66796875, -9.8984375, -10.46875, -9.5703125, -8.8515625, -10.265625, -8.4609375, -9.7578125, -6.60546875, -1.6435546875, -6.01171875, -9.3203125, -7.66015625, -9.6875, -9.921875, -10.296875, -10.578125, -9.9609375, -10.21875, -8.703125, -10.1953125, -10.5, -7.69921875, -7.75, -10.2109375, -9.359375, -7.33984375, -10.625, -10, -10.65625, -9.8203125, -9.53125, -10.3671875, -8.015625, -9.8515625, -9.9140625, -10.1484375, -10.765625, -10.4921875, -9.625, -10.8203125, -10.1796875, -8.828125, -8.609375, -10.609375, -9.9296875, -10.4765625, -8.203125, -9.96875, -9.96875, -10, -10.9609375, -9.7265625, -8.0078125, -8.7265625, -9.4375, -9.125, -8.3828125, -9.046875, -7.1875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875, -10.546875 ]
On 1 July 1851, writs were issued for the election of the first Victorian Legislative Council, and the absolute independence of Victoria from New South Wales was established proclaiming a new Colony of Victoria. Days later, still in 1851 gold was discovered near Ballarat, and subsequently at Bendigo. Later discoveries occurred at many sites across Victoria. This triggered one of the largest gold rushes the world has ever seen. The colony grew rapidly in both population and economic power. In ten years the population of Victoria increased sevenfold from 76,000 to 540,000. All sorts of gold records were produced including the "richest shallow alluvial goldfield in the world" and the largest gold nugget. Victoria produced in the decade 1851–1860 20 million ounces of gold, one third of the world's output[citation needed].
How much gold did Victoria produce in 1860?
[ "" ]
[ -1 ]
[ "5a63787868151a001a9222fe" ]
[ "Victoria_(Australia)" ]
[ 3.576171875, -9.1875, -9.1953125, -9.75, -9.3203125, -9.875, -9.2578125, -8.4453125, -9.5078125, -9.4453125, -9.359375, -9.234375, -8.65625, -7.5546875, -8.8203125, -8.1015625, -7.8046875, -9.8515625, -8.203125, -9.5078125, -9.375, -9.0078125, -8.953125, -9.5703125, -8.625, -9.5234375, -9.2421875, -8.2890625, -8.515625, -9.0078125, -9.1015625, -9.4140625, -8.9296875, -8.578125, -7.87890625, -8.109375, -9.546875, -8.6171875, -8.9375, -7.703125, -9.1484375, -8.953125, -9.1796875, -8.4453125, -7.47265625, -7.51953125, -7.83984375, -7.34765625, -8.7890625, -7.37890625, -9, -8.1171875, -8.84375, -8.59375, -7.96484375, -7.859375, -7.91015625, -8.4296875, -8.4140625, -9.1875, -8.8984375, -8.6171875, -7.3359375, -9.0078125, -9.609375, -9.3671875, -8.78125, -8.25, -7.48046875, -8.234375, -7.859375, -8.1015625, -9.0078125, -9.203125, -9.3515625, -9.1640625, -9.234375, -8.953125, -9.265625, -7.42578125, -8.4921875, -9.046875, -8.8046875, -8.8125, -9.3671875, -7.94140625, -8.125, -9.6015625, -9.1015625, -8.9453125, -9.40625, -9.1015625, -9.0390625, -8.8984375, -8.40625, -9.296875, -9.234375, -8.96875, -9.3828125, -8.96875, -9.3828125, -9.7421875, -9.1953125, -8.921875, -7.42578125, -8.1953125, -8.078125, -9.5546875, -8.953125, -9.203125, -9.75, -8.7890625, -9.328125, -7.01171875, -9.0625, -9.03125, -6.94921875, -9.9296875, -9.8046875, -9.375, -5.7109375, -9.6015625, -8.7890625, -7.42578125, -6.8984375, -8.296875, -9.6953125, -8.59375, -9.1875, -9.859375, -8.8828125, -8.9375, -8.3671875, -7.984375, -7.59375, -9.5, -8.640625, -7.76953125, -9.015625, -9.53125, -7.92578125, -9.6796875, -9.078125, -8.828125, -9.1484375, -9.3359375, -9.484375, -9, -7.6875, -7.66796875, -8.625, -9.6875, -8.5625, -8.109375, -3.4609375, -7.26953125, -4.76171875, -7.24609375, -7.25390625, -4.94140625, -8.0625, -8.546875, -4.94921875, -7.13671875, 0.685546875, -4.484375, -4.37109375, -8.84375, -6.21875, -7.85546875, -3.541015625, -5.57421875, -7.453125, -6.3984375, -7.00390625, -8.734375, -6.75390625, -6.52734375, -7.2109375, -8.7578125, -9.2890625, -6.7890625, -6.05078125, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625, -10.15625 ]
[ 2.890625, -9.234375, -7.765625, -8.5859375, -8.78125, -9.6640625, -8.2109375, -9.0078125, -8.6640625, -8.078125, -9.84375, -9.296875, -9.7421875, -9.3984375, -9.359375, -10.046875, -7.6171875, -9.765625, -10.25, -9.5859375, -10.1328125, -9.46875, -10.078125, -10.234375, -9.96875, -10.2734375, -10.390625, -10.03125, -9.359375, -9.9296875, -8.3125, -7.10546875, -10.109375, -10.3984375, -9.9921875, -8.9921875, -10.0234375, -8.4453125, -10.4765625, -10.359375, -9.9140625, -8.3515625, -10.2578125, -9.09375, -9.5234375, -10.0859375, -10.2421875, -8.8828125, -9.7578125, -7.22265625, -9.046875, -9.75, -9.4140625, -10.1171875, -10.1484375, -10.9921875, -10.6640625, -8.8203125, -9.6796875, -10.3671875, -9.2265625, -10.3515625, -10.140625, -7.62109375, -9.390625, -10.3125, -9.4921875, -10.8046875, -10.171875, -7.28125, -8.203125, -9.703125, -9.453125, -9.359375, -10.40625, -9.890625, -9.4296875, -9.7421875, -8.5546875, -7.4375, -9.9453125, -9.90625, -10.5625, -10.546875, -10.34375, -9.96875, -9.125, -8.453125, -10.5546875, -9.5859375, -10.4765625, -9.9375, -8.7109375, -9.484375, -10.625, -9.1328125, -10.2421875, -9.25, -10.6171875, -10.7421875, -9.8515625, -10.125, -10.171875, -8.296875, -7.4375, -10.8203125, -9.6171875, -9.4296875, -10.7421875, -10.0078125, -10.5625, -8.671875, -10.234375, -10.015625, -8.53125, -10.875, -9.015625, -10.4140625, -9.5546875, -10.703125, -7.86328125, -9.8125, -7.8515625, -7.4375, -9.9921875, -8.109375, -9.6875, -9.5078125, -9.1015625, -10.0625, -8.2109375, -10.0390625, -11.234375, -11.2578125, -10.609375, -9.609375, -10.2890625, -10.765625, -8.7421875, -9.8828125, -9.5, -8.53125, -10.6484375, -9.7421875, -8.8203125, -9.390625, -10.0078125, -10.8671875, -9.90625, -8.7890625, -10.6640625, -9.578125, -6.74609375, -7.77734375, -7.97265625, -8.546875, -9.828125, -9.3515625, -6.59375, -8.46875, -5.92578125, -8.7890625, -9.328125, -6.390625, -4.84765625, -3.830078125, 0.394775390625, -5.5859375, -2.103515625, -4.4609375, -8.03125, -5.44140625, -8.4609375, -9.140625, -6.98046875, -6.15234375, -3.14453125, -6.1015625, -9.046875, -8.546875, -7.71484375, -6.39453125, -4.53515625, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125, -10.9453125 ]
In October 2010, the open-access scientific journal PLoS Pathogens published a paper by a multinational team who undertook a new investigation into the role of Yersinia pestis in the Black Death following the disputed identification by Drancourt and Raoult in 1998. They assessed the presence of DNA/RNA with Polymerase Chain Reaction (PCR) techniques for Y. pestis from the tooth sockets in human skeletons from mass graves in northern, central and southern Europe that were associated archaeologically with the Black Death and subsequent resurgences. The authors concluded that this new research, together with prior analyses from the south of France and Germany, ". . . ends the debate about the etiology of the Black Death, and unambiguously demonstrates that Y. pestis was the causative agent of the epidemic plague that devastated Europe during the Middle Ages".
What scientific journal in France published a prior analysis of the Black Death?
[ "" ]
[ -1 ]
[ "5a2eca47a83784001a7d2484" ]
[ "Black_Death" ]
[ 5.15234375, -9.859375, -9.21875, -9.9453125, -9.6484375, -9.890625, -9.8046875, -9.6484375, -9.8828125, -9.9609375, -10.0546875, -9.5234375, -9.5, -10.59375, -10.015625, -8.9921875, -9.421875, -8.5703125, -8.734375, -8.8671875, -9.765625, -8.3125, -7.94140625, -9.96875, -8.8984375, -7.81640625, -7.96875, -4.89453125, -7.96484375, -7.9921875, -9.7421875, -9.765625, -9.2578125, -9.578125, -9.84375, -9.640625, -9.6953125, -9.5, -9.578125, -9.8828125, -9.609375, -9.5, -9.828125, -9.8203125, -9.6875, -9.78125, -8.0546875, -8.9453125, -9.484375, -9.75, -9.65625, -9.453125, -9.2265625, -9.4375, -9.875, -9.390625, -9.5390625, -9.3046875, -9.28125, -9.5078125, -7.97265625, -9.515625, -9.390625, -9.625, -8.6875, -9.546875, -9.34375, -8.3984375, -7.7578125, -8.9609375, -9.359375, -9.9453125, -9.1796875, -10.1875, -9.0703125, -9.9609375, -9.5703125, -9.4453125, -7.8828125, -9.6328125, -9.484375, -9.2265625, -8.9453125, -9.375, -8.46875, -9.53125, -9.6640625, -9.3203125, -9.71875, -8.75, -9.3984375, -9.6953125, -9.4140625, -9.359375, -9.8671875, -9.3046875, -9.8203125, -9.8515625, -9.6875, -9.8046875, -9.625, -9.859375, -9.96875, -10.0859375, -9.5, -9.6875, -9.8125, -9.9921875, -9.75, -9.3984375, -9.734375, -9.84375, -9.703125, -9.34375, -9.5703125, -9.4453125, -9.2734375, -9.2109375, -9.71875, -9.671875, -9.515625, -9.6484375, -9.7421875, -7.7578125, -9.1640625, -9.0390625, -9.515625, -9.8046875, -8.765625, -9.2265625, -9.2890625, -9.625, -9.0390625, -9.5390625, -8.2734375, -8.1328125, -8.234375, -8.1015625, -7.7890625, -9.421875, -7.9375, -10.078125, -9.3515625, -9.5546875, -7.171875, -8.109375, -8.3671875, -8, -9.59375, -9.15625, -9.640625, -9.1953125, -8.296875, -9.0078125, -9.9609375, -8.609375, -8.984375, -9.703125, -10, -9.8125, -7.8359375, -9.515625, -9.59375, -8.9453125, -9.4765625, -7.546875, -9.5859375, -9.25, -9.546875, -9.28125, -9.125, -8.5390625, -9.4609375, -8.859375, -9.75, -9.03125, -9.453125, -9, -9.6953125, -9.2734375, -8.890625, -8.8671875, -9.0390625, -8.6328125, -8.890625, -7.78125, -7.61328125, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625, -10.7890625 ]
[ 4.15625, -9.015625, -9.546875, -9.296875, -9.8203125, -9.71875, -9.859375, -10.046875, -9.9765625, -9.859375, -10.5390625, -10.90625, -11.046875, -9.6171875, -9.65625, -10.1328125, -9.3828125, -10.4296875, -9.8203125, -7.6640625, -9.3671875, -10.2109375, -9.9765625, -9.671875, -9.125, -9.375, -8.9609375, -7.9140625, -9.0234375, -5.4453125, -9.0703125, -10.265625, -9.4765625, -10.484375, -10.5859375, -9.921875, -9.4453125, -10.453125, -10.046875, -10.765625, -10.46875, -9.859375, -10.296875, -10.359375, -10.1875, -10.5546875, -10.3046875, -10.6015625, -9.6484375, -9.8984375, -8.578125, -10.4453125, -10.4921875, -10.59375, -9.1796875, -10.40625, -10.484375, -9.84375, -9.609375, -10.890625, -10.625, -10.21875, -9.046875, -10.6171875, -10.375, -8.5546875, -10.8828125, -8.6015625, -8.1171875, -10.8359375, -10.40625, -10.7890625, -10.46875, -10.4140625, -10.15625, -10.2734375, -9.2734375, -10.7734375, -9.984375, -10.4609375, -10.2109375, -9.984375, -8.828125, -10.375, -10.0390625, -9.4765625, -9.78125, -9.2734375, -10.5390625, -10.4921875, -10.1015625, -10.125, -9.140625, -10.5, -10.4921875, -10.375, -9.140625, -10.46875, -10.6484375, -9.2734375, -10.34375, -10.6328125, -9.4140625, -10.734375, -10.3046875, -9.6640625, -10.25, -10.6015625, -10.3671875, -9.28125, -10.109375, -10.7421875, -10.296875, -10.703125, -9.8046875, -10.578125, -10.78125, -10.890625, -9.0625, -9.7109375, -10.21875, -10.0390625, -8.9296875, -8.1171875, -10.7734375, -9.75, -9.9296875, -10.625, -10.28125, -10.203125, -9.078125, -9.5, -10.234375, -10.4921875, -9.734375, -8.71875, -9.7421875, -9.6328125, -8.5234375, -10.0078125, -8.1015625, -9.734375, -7.828125, -9.0625, -8.9921875, -8.9375, -9.0390625, -10.2578125, -10.1015625, -9.15625, -10.265625, -10.296875, -10.28125, -7.88671875, -10.3359375, -10.34375, -10.5390625, -8.53125, -9.203125, -10.3359375, -10.6015625, -10.3359375, -9.3046875, -9.625, -10.71875, -9.7109375, -10.5234375, -9.875, -8.71875, -10.5, -10.5546875, -10.40625, -9.125, -7.71875, -10.421875, -10.5859375, -9.8046875, -8.03125, -10.8515625, -9.7265625, -8.9453125, -10.46875, -10.59375, -10.28125, -7.6640625, -8.0703125, -7.90234375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375, -11.0859375 ]
The first European to travel the length of the Amazon River was Francisco de Orellana in 1542. The BBC's Unnatural Histories presents evidence that Orellana, rather than exaggerating his claims as previously thought, was correct in his observations that a complex civilization was flourishing along the Amazon in the 1540s. It is believed that the civilization was later devastated by the spread of diseases from Europe, such as smallpox. Since the 1970s, numerous geoglyphs have been discovered on deforested land dating between AD 0–1250, furthering claims about Pre-Columbian civilizations. Ondemar Dias is accredited with first discovering the geoglyphs in 1977 and Alceu Ranzi with furthering their discovery after flying over Acre. The BBC's Unnatural Histories presented evidence that the Amazon rainforest, rather than being a pristine wilderness, has been shaped by man for at least 11,000 years through practices such as forest gardening and terra preta.
The BBC's documentary presented evidence that the Amazon had been a pristine wilderness for at least how long?
[ "" ]
[ -1 ]
[ "5a0c7b88f5590b0018dab422" ]
[ "Amazon_rainforest" ]
[ 4.62109375, -8.484375, -9.6484375, -10.0859375, -8.609375, -8.75, -8.90625, -9.6328125, -9.5234375, -10.453125, -9.8125, -9.8203125, -9.65625, -9.921875, -10.5625, -9.4609375, -7.36328125, -8.5390625, -7.53515625, -9.6953125, -9.5703125, -8.578125, -9.234375, -10.1328125, -10.015625, -9.6640625, -10.2734375, -9.6953125, -9.890625, -9.2578125, -10.15625, -9.984375, -8.7578125, -9.84375, -10.0859375, -8.4375, -9.8828125, -9.375, -10.0703125, -9.421875, -9.7109375, -6.99609375, -8.3828125, -7.390625, -7.17578125, -7.92578125, -9.40625, -5.88671875, -8.46875, -8.515625, -8.2109375, -8.515625, -9.296875, -9.6171875, -8.71875, -9.9140625, -9.890625, -10.1015625, -8.3515625, -9.8515625, -9.03125, -9.6484375, -9.953125, -9.5, -9.7578125, -9.53125, -9.46875, -10.296875, -9.609375, -8.953125, -9.7421875, -9.875, -9.2890625, -9.6015625, -9.28125, -8.8359375, -9.390625, -9.9453125, -9.4921875, -9.2578125, -9.453125, -9.109375, -9.609375, -9.6328125, -7.9375, -8.890625, -9.703125, -7.390625, -9.8125, -10.1328125, -9.8203125, -10.4453125, -9.6875, -9.9453125, -10.2890625, -9.921875, -9.8671875, -9.890625, -9.890625, -9.921875, -10.3046875, -9.84375, -9.9296875, -9.265625, -10.484375, -10.0859375, -10.125, -8.828125, -9.625, -7.390625, -8.7734375, -9.6328125, -8.53125, -9.890625, -10.265625, -9.1171875, -8.8125, -9.9453125, -10.2421875, -10.0859375, -9.9453125, -9.90625, -9.1875, -9.9921875, -9.171875, -9.75, -10.203125, -9.734375, -9.5703125, -8.8359375, -9.1015625, -8.7421875, -9.2734375, -7.0390625, -7.87890625, -10.0078125, -8.8828125, -9.6328125, -9.34375, -9.6953125, -7.6015625, -9.8046875, -8.8125, -9.4765625, -9.15625, -9.2421875, -7.3203125, -9.1484375, -9.484375, -9.609375, -8.84375, -9.6015625, -9.84375, -9.3046875, -9.78125, -9.1484375, -8.9296875, -9.453125, -8.6640625, -9.6484375, -9.703125, -9.5234375, -9.6953125, -7.734375, -10.15625, -7.23828125, -8.828125, -9.40625, -9.0703125, -9.421875, -9.5390625, -8.78125, -9.3125, -9.171875, -9, -9.2421875, -7.953125, -9.125, -8.7265625, -9.1640625, -9.15625, -5.90625, -7.1640625, -9.2734375, -4.140625, -8.3671875, -8.265625, -7.6875, -7.01953125, -8.359375, -8.640625, -6.96484375, -7.3984375, -8.984375, -10.1796875, -8.671875, -6.640625, -8.6015625, -7.36328125, -6.79296875, -7.0546875, -7.17578125, -9.671875, -7.6484375, -8.7734375, -8.4453125, -8.6796875, -9.2421875, -7.75390625, -2.404296875, -4.66015625, 1.630859375, -7.28515625, -6.68359375, -5.5546875, -9.109375, -8.9140625, -9.5, -8.9453125, -9.140625, -8.8515625, -9.8828125, -8.1640625, -8.6484375, -8.4609375, -9.0859375, -7.390625, -7.29296875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875, -11.046875 ]
[ 3.90625, -10.140625, -9.7890625, -8.2890625, -8.640625, -9.921875, -10.375, -10.6953125, -10.765625, -9.8359375, -10.3046875, -10.0234375, -9.8984375, -10.1875, -9.234375, -10.4921875, -10.46875, -9.578125, -9.765625, -8.8828125, -8.2890625, -8.8984375, -9.046875, -10.6171875, -10.5546875, -10.1015625, -10.3671875, -10.3359375, -10.78125, -10.3203125, -10.6015625, -10.6171875, -9.4296875, -9.3046875, -10.5234375, -9.84375, -10.34375, -10.3203125, -10.0859375, -8.8203125, -10.78125, -8.6875, -7.7265625, -6.4375, -10.4375, -8.4609375, -9.125, -9.7734375, -9.234375, -8.9609375, -6.8203125, -9.5390625, -10.3046875, -10.8203125, -10.6796875, -10.0625, -9.40625, -9.484375, -10.4609375, -10.4140625, -10.453125, -10.1640625, -10.546875, -9.90625, -10.4609375, -10.2265625, -9.5703125, -9.359375, -10.984375, -10.09375, -10.4765625, -10.6328125, -10.3828125, -11.0234375, -10.6484375, -10.0078125, -8.734375, -10.5078125, -9.5703125, -10.3203125, -10.6171875, -9.28125, -10.8984375, -10.6875, -9.6796875, -9.2421875, -9.09375, -6.4375, -10.3984375, -10.3984375, -9.8984375, -10.75, -10.359375, -9.34375, -10.8359375, -10.1953125, -9.8671875, -10.8984375, -10.6015625, -10.46875, -10.65625, -9.921875, -10.7109375, -8.796875, -9.484375, -10.5546875, -10.4296875, -10.7421875, -9.0234375, -6.4375, -10.859375, -10.8125, -9.7578125, -9.2734375, -9.9296875, -10.2734375, -10.7890625, -10.484375, -9.703125, -9.5, -10.8828125, -10.6875, -9.8046875, -10.59375, -11.0859375, -9.6796875, -10.0625, -9.6875, -10.65625, -10.7109375, -10.265625, -9.484375, -10.15625, -8.90625, -7.37890625, -9.40625, -10.9609375, -10.6484375, -10.4140625, -10.9921875, -10.3046875, -10.96875, -9.796875, -9.5078125, -8, -9.0078125, -10.6328125, -10.734375, -10.40625, -9.9921875, -10.4375, -8.265625, -10.53125, -9.703125, -10.3203125, -10.5, -10.0859375, -10.1171875, -10.4921875, -10.34375, -9.71875, -8.7578125, -10.890625, -7.8515625, -10.2890625, -10.7734375, -10.2265625, -9.90625, -10.328125, -8.5, -10.2734375, -10.6796875, -10.6640625, -10.0859375, -9.6015625, -10.7578125, -10.2578125, -10.5390625, -10.265625, -8.5546875, -9.1796875, -10.6640625, -8.6015625, -8.671875, -9.6640625, -9.2421875, -8.2734375, -5.7265625, -8.8671875, -9.640625, -10.4765625, -10.578125, -9.4296875, -10.4375, -8.0703125, -8.171875, -8.40625, -8.671875, -9.9140625, -10.390625, -9.46875, -7.36328125, -8.8984375, -10.1953125, -8.84375, -8.4453125, -9.234375, -6.76171875, -9.34375, -8.9453125, -7.60546875, -3.72265625, -5.36328125, -3.64453125, 0.83447265625, -8.09375, -7.01953125, -9.578125, -9.125, -9.1796875, -7.0234375, -10.1015625, -10.6015625, -9.90625, -9.234375, -6.65234375, -6.4375, -6.04296875, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125, -10.53125 ]
The immune system is a system of many biological structures and processes within an organism that protects against disease. To function properly, an immune system must detect a wide variety of agents, known as pathogens, from viruses to parasitic worms, and distinguish them from the organism's own healthy tissue. In many species, the immune system can be classified into subsystems, such as the innate immune system versus the adaptive immune system, or humoral immunity versus cell-mediated immunity. In humans, the blood–brain barrier, blood–cerebrospinal fluid barrier, and similar fluid–brain barriers separate the peripheral immune system from the neuroimmune system which protects the brain.
What connects the peripheral immune system to the neuroimmune system?
[ "" ]
[ -1 ]
[ "5ad49c34ba00c4001a268d9e" ]
[ "Immune_system" ]
[ 5.31640625, -9.359375, -9.4296875, -9.859375, -9.8359375, -10.046875, -10.484375, -9.9140625, -9.796875, -9.4375, -10.0234375, -10.4609375, -10.0546875, -8.984375, -8.78125, -8.7265625, -8.7109375, -9.1953125, -9.7421875, -9.4765625, -9.2890625, -9.3515625, -8.5078125, -8.7265625, -8.7578125, -9.9765625, -8.765625, -9.234375, -9.3359375, -9.109375, -9.296875, -8.703125, -9.203125, -8.8046875, -8.0234375, -8.4296875, -9.265625, -9.234375, -9.8125, -8.7421875, -9.109375, -9.4609375, -9.3046875, -8.8515625, -9.3125, -9.078125, -8.9375, -9.640625, -8.8046875, -9.9375, -8.4765625, -9.0703125, -8.4609375, -9.71875, -8.2890625, -8.546875, -9.7109375, -9.09375, -8.8203125, -9.578125, -9.4921875, -8.421875, -9.109375, -8.9375, -9.2578125, -9.296875, -9.0390625, -8.875, -8.796875, -8.6796875, -9.03125, -9.046875, -9.5390625, -8.921875, -9.9921875, -9.1640625, -9.3203125, -9.7890625, -9.34375, -9.8046875, -9.234375, -9.6640625, -8.9765625, -9.34375, -10.125, -9.640625, -10.0078125, -9.1171875, -8.6796875, -9.40625, -9.8828125, -9.484375, -8.703125, -8.4140625, -9.0234375, -9.40625, -9.8671875, -9.4140625, -8.4140625, -9.40625, -9.546875, -9.7578125, -8.2421875, -9.171875, -9.046875, -8.8828125, -8.0234375, -7.37890625, -9.0546875, -10.046875, -5.296875, -4.94921875, -7.796875, -7.6640625, -7.58984375, -9.578125, -6.1015625, -7.640625, -7.40234375, -8.2578125, -7.94140625, -8.046875, -8.7109375, -8.5390625, -7.5, -9.3828125, -9.4921875, -8.734375, -6.59765625, -8.3359375, -8.328125, -7.66015625, -8.375, -9.4765625, -9.203125, -7.42578125, -9.7265625, -8.8828125, -8.890625, -8.09375, -8.2265625, -8.6484375, -8.8203125, -8.078125, -8.8203125, -8.28125, -8.0234375, -7.515625, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375, -10.0859375 ]
[ 4.55078125, -9.984375, -9.5703125, -10.0390625, -9.859375, -9.625, -9.6015625, -10.125, -10.5, -10.9140625, -9.8828125, -9.1484375, -9.953125, -9.9140625, -9.7578125, -10.2890625, -9.6875, -8.515625, -10.453125, -10.515625, -9.4921875, -10.28125, -10.1640625, -9.7421875, -9.375, -10.0234375, -8.71875, -10.0078125, -10.4296875, -9.359375, -10.4765625, -10.2265625, -10.21875, -9.390625, -8.046875, -10.3125, -9.765625, -9.5, -10.109375, -10.609375, -9.9765625, -8.953125, -10.359375, -9.9609375, -10.6640625, -10.3203125, -9.5, -10.578125, -9.1171875, -9.828125, -9.7734375, -10.0234375, -8.8671875, -9.828125, -10.265625, -9.3515625, -10.3984375, -9.921875, -8.5390625, -9.4921875, -10.6953125, -10.0390625, -9.8828125, -10.359375, -10.3515625, -10.0234375, -9.8671875, -10.0390625, -10.3359375, -8.640625, -9.6171875, -10.546875, -10.3828125, -9.5390625, -10.1640625, -10.390625, -10.046875, -9.484375, -10.421875, -10.4921875, -9.78125, -10.2890625, -9.796875, -9.625, -10.1640625, -10.546875, -10.546875, -10.9140625, -10.234375, -10.0078125, -9.8046875, -10.28125, -10.734375, -10.1015625, -9.90625, -9.1328125, -9.75, -10.59375, -10.859375, -9.9609375, -9.3203125, -10.1875, -10.515625, -10.65625, -10.0234375, -8.671875, -8.046875, -10.046875, -8.515625, -9.3125, -9.3203125, -8.2265625, -9.359375, -8.375, -5.3828125, -8.65625, -8.640625, -9.40625, -9.1796875, -9.6953125, -9.2109375, -9.65625, -9.3359375, -8.375, -5.44140625, -8.1796875, -10.15625, -9.8984375, -9.21875, -9.9140625, -8.84375, -6.90625, -9.109375, -10.3359375, -9.8828125, -8.0546875, -8.8515625, -10.3125, -10.2421875, -10.4609375, -8.5859375, -8.3046875, -9.9296875, -9.921875, -10.328125, -8.7578125, -8.046875, -7.14453125, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875, -11.171875 ]
While acknowledging the central role economic growth can potentially play in human development, poverty reduction and the achievement of the Millennium Development Goals, it is becoming widely understood amongst the development community that special efforts must be made to ensure poorer sections of society are able to participate in economic growth. The effect of economic growth on poverty reduction – the growth elasticity of poverty – can depend on the existing level of inequality. For instance, with low inequality a country with a growth rate of 2% per head and 40% of its population living in poverty, can halve poverty in ten years, but a country with high inequality would take nearly 60 years to achieve the same reduction. In the words of the Secretary General of the United Nations Ban Ki-Moon: "While economic growth is necessary, it is not sufficient for progress on reducing poverty."
What isn't economic growth sufficient for progress on?
[ "reducing poverty", "reducing poverty", "reducing poverty" ]
[ 884, 884, 884 ]
[ "572a1a5c6aef051400155288", "572a1a5c6aef051400155288", "572a1a5c6aef051400155288" ]
[ "Economic_inequality", "Economic_inequality", "Economic_inequality" ]
[ 0.31396484375, -8.671875, -8.234375, -8.578125, -8.4375, -9.4296875, -9.5546875, -10.1640625, -9.296875, -9.109375, -9.3828125, -8.7265625, -8.703125, -6.12109375, -5.62890625, -6.3046875, -6.484375, -7.20703125, -5.484375, -7.09375, -7.50390625, -7.15234375, -7.32421875, -6.88671875, -4.34375, -5.17578125, -6.34375, 3.80078125, -1.7119140625, -8.0078125, -4.8359375, -4.390625, -7.40625, -3.080078125, -1.3095703125, -4.546875, -4.21484375, -6.52734375, -5.265625, -8.21875, -7.73828125, -7.26171875, -7.48046875, -7.28515625, -6.453125, -5.96875, -8.0703125, -7.0703125, -5.1953125, -6.640625, -7.6328125, -8.265625, -6.84375, -6.9375, -5.8359375, -5.00390625, -7.60546875, -8.1328125, -7.04296875, -8.421875, -7.26171875, -7.18359375, -6.28125, -7.73046875, -4.91015625, -6.01171875, -4.390625, -4.52734375, -6.2109375, -8.1796875, -5.67578125, -7.19921875, -6.90625, 0.73095703125, -4.3203125, -7.42578125, -5.0859375, -4.5390625, -5.15625, -6.23828125, -6.26171875, -0.8115234375, -6.4375, -6.08203125, -7.015625, -7.91796875, -6.96484375, -6.73828125, -7.14453125, -8.140625, -3.66796875, -4.38671875, -6.2421875, -8.03125, -8.328125, -5.21484375, -5.18359375, -3.880859375, -5.4296875, -7.2578125, -7.76953125, -6.90625, -6.41015625, -7.1953125, -8.484375, -5.09375, -6.75390625, -8.4140625, -7.59375, -9.28125, -5.6328125, -6.8046875, -8.0234375, -7.69140625, -6.46875, -6.6953125, -6.27734375, -0.919921875, -8.296875, -5.97265625, -4.82421875, -6.58984375, -1.2451171875, -8.125, -5.4609375, -6.85546875, -7.89453125, -6.98828125, -5.86328125, -6.6640625, -7.6796875, -6.171875, -5.078125, -8.015625, -7.84375, -7.1015625, -5.75390625, -7.45703125, -8.3046875, -6.046875, -6.4765625, -8.015625, -5.10546875, -4.38671875, -5.11328125, -6.82421875, -7.26953125, -8.3828125, -5.50390625, -4.12890625, -6.56640625, -7.703125, -3.001953125, -4.390625, -5.4453125, -4.78515625, -6.7265625, -7.51953125, -5.04296875, -5.57421875, -3.32421875, -4.74609375, -3.62109375, -6.6484375, -7.72265625, -5.73046875, -7.05078125, -2.86328125, -5.85546875, -3.193359375, -4.30078125, -4.37109375, -1.474609375, -1.21875, 4.4765625, 0.66455078125, -5.18359375, -5.15625, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875, -9.6875 ]
[ -0.5458984375, -8.5703125, -9.375, -8.375, -9.046875, -7.5078125, -8.5, -9.53125, -8.203125, -8.75, -8.0546875, -8.7421875, -9.140625, -8.0078125, -8.015625, -8.1796875, -7.44140625, -6.9609375, -7.234375, -5.921875, -7.171875, -7.13671875, -5.85546875, -8.3359375, -7.90625, -4.84765625, -6.23828125, 1.4423828125, 2.68359375, -7.3203125, -8.171875, -6.88671875, -8.4609375, -7.54296875, -5.72265625, -5.40234375, -2.24609375, -5.68359375, -8.0546875, -8.3125, -8.40625, -8.328125, -7.05078125, -8.71875, -8.265625, -7.0625, -5.93359375, -8.359375, -7.40625, -6.70703125, -7.92578125, -7.84375, -6.13671875, -8.640625, -7.7421875, -7.00390625, -7.03515625, -8.5078125, -5.98828125, -8.4296875, -7.72265625, -7.90625, -6.47265625, -8.6640625, -6.72265625, -4.734375, -3.33984375, -8.0234375, -7.5, -8.6484375, -7.61328125, -6.515625, -9.03125, -1.58984375, -0.77978515625, -6.03125, -8.5859375, -7.9453125, -7.51171875, -6.640625, -8.359375, -1.724609375, -6.48046875, -8.0703125, -8.265625, -9.09375, -8.6796875, -9.0859375, -7.81640625, -9.390625, -4.37890625, -3.33984375, -8.84375, -7.73828125, -7.90234375, -9.484375, -8.5625, -4.40234375, -8.7109375, -7.9765625, -9.5078125, -9.2265625, -8.1796875, -7.44140625, -9.53125, -7.94140625, -6.76953125, -9.296875, -6.77734375, -9.4140625, -8.1171875, -6.953125, -9.46875, -8.7890625, -6.07421875, -8.5703125, -8.40625, -1.4697265625, -6.921875, -9.515625, -8.578125, -7.69140625, -1.869140625, -8.8828125, -6.625, -5.02734375, -3.34375, -8.953125, -9.359375, -8.015625, -9.796875, -8.6484375, -5.19921875, -8.9140625, -9, -9.015625, -7.0625, -6.36328125, -9.4140625, -8.15625, -8.2421875, -8.875, -4.92578125, -3.33984375, -8.921875, -8.046875, -8.3515625, -9.0625, -8.4375, -7.97265625, -6.890625, -9.609375, -6.15625, -7.98828125, -4.484375, -7.1640625, -7.37109375, -7.89453125, -3.8046875, -5.87109375, -7.76953125, -7.0390625, -7.0625, -5.44921875, -8.3984375, -4.33203125, -3.998046875, -7.3046875, -8.375, -8.0234375, -6.44140625, -8.4921875, -5.53515625, -6.81640625, -3.818359375, 3.044921875, -2.244140625, -2.5390625, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875, -10.7421875 ]
Each year, the southern California area has about 10,000 earthquakes. Nearly all of them are so small that they are not felt. Only several hundred are greater than magnitude 3.0, and only about 15–20 are greater than magnitude 4.0. The magnitude 6.7 1994 Northridge earthquake was particularly destructive, causing a substantial number of deaths, injuries, and structural collapses. It caused the most property damage of any earthquake in U.S. history, estimated at over $20 billion.
How many earthquakes does southern California experience in a year?
[ "10,000", "10,000", "10,000" ]
[ 50, 50, 50 ]
[ "5705fec152bb89140068977a", "5705fec152bb89140068977a", "5705fec152bb89140068977a" ]
[ "Southern_California", "Southern_California", "Southern_California" ]
[ 0.69482421875, -8.5703125, -9.265625, -9.5078125, -9.3125, -8.765625, -10.0703125, -9.1796875, -8.8125, -9.0234375, -8.8203125, -9.1171875, -8.5703125, -8.125, -0.853515625, -3.701171875, -5.2578125, -1.302734375, -1.7275390625, -3.529296875, -3.837890625, -1.9951171875, 6.4921875, 7.58203125, -3.39453125, -1.080078125, -3.93359375, -4.45703125, -3.701171875, -5.35546875, -7.63671875, -6.015625, -7.4296875, -3.978515625, -4.51953125, -7.328125, -6.7109375, -8.28125, -7.19140625, -6.84375, -3.34765625, -3.814453125, -2.947265625, -2.96484375, -8.0078125, -7.52734375, -8.2109375, -7.69921875, -5.3671875, -3.3515625, -6.60546875, -7.43359375, -8.375, -6.796875, -6.21875, -4.5390625, -6.7734375, -5.75, -8.7265625, -8.25, -8.3125, -6.9765625, -4.41796875, -3.349609375, -6.76953125, -6.35546875, -7.3984375, -6.2578125, -3.5703125, -9.0078125, -7.0234375, -4.27734375, -4.20703125, -7.53515625, -7.3203125, -9.0625, -8.125, -7.58984375, -9.3515625, -8.203125, -8.9453125, -8.0390625, -7.64453125, -9.34375, -8.1640625, -8.953125, -8.34375, -8.3359375, -9.1640625, -8.4453125, -7.87890625, -3.3515625, -8.6015625, -9.078125, -8.796875, -8.890625, -9.1640625, -9.2265625, -9.3046875, -8.7265625, -7.33203125, -9.4296875, -8.2109375, -3.34765625, -8.84375, -3.353515625, -8.96875, -9.2421875, -8.15625, -9, -7.9140625, -7.3125, -6.91015625, -7.8359375, -3.3515625, -6.50390625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625, -10.015625 ]
[ -0.33642578125, -9.09375, -8.6640625, -8.6015625, -9.046875, -9.6875, -8.1015625, -8.796875, -9.296875, -9.0703125, -8.1875, -7.32421875, -9.765625, -9.15625, -3.802734375, -1.6796875, -4.69140625, -7.4921875, -5.953125, -4.203125, -5.9296875, -6.609375, -3.7578125, -2.802734375, -1.9580078125, 7.5234375, 2.083984375, -0.46826171875, -7.0625, -6.98046875, -8.3203125, -5.69921875, -7.90625, -7.01171875, -5.453125, -8.5546875, -7.60546875, -8.1796875, -7.265625, -4.5703125, -1.6083984375, -8.28125, -6.58984375, -2.8046875, -7.45703125, -6.99609375, -7.87890625, -7.81640625, -5.484375, -1.6083984375, -4.98046875, -5.8125, -9.5546875, -9.4375, -8.7734375, -4.703125, -6.76953125, -4.05859375, -8.2421875, -7.72265625, -8.9140625, -8.421875, -5.609375, -1.607421875, -5.33984375, -6.0859375, -8.2265625, -8.3203125, -6.09375, -8.2109375, -5.6171875, -5.3515625, -7.93359375, -6.19921875, -5.93359375, -8.546875, -8.796875, -6.7265625, -7.83984375, -9.625, -9.3203125, -8.7421875, -7.26953125, -9.2578125, -7.67578125, -8.28125, -7.83984375, -7.671875, -10.1875, -9.2109375, -6.03515625, -1.6083984375, -10.1328125, -9.9765625, -10.4453125, -10.5234375, -10.3125, -8.7578125, -10.546875, -10.2734375, -7.75390625, -10.6796875, -10.234375, -1.607421875, -8.5859375, -1.6103515625, -8.5234375, -9, -9.6640625, -10.6484375, -10.71875, -10.1875, -8.46875, -7.0625, -1.609375, -5.16015625, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875, -10.46875 ]
The plague disease, caused by Yersinia pestis, is enzootic (commonly present) in populations of fleas carried by ground rodents, including marmots, in various areas including Central Asia, Kurdistan, Western Asia, Northern India and Uganda. Nestorian graves dating to 1338–39 near Lake Issyk Kul in Kyrgyzstan have inscriptions referring to plague and are thought by many epidemiologists to mark the outbreak of the epidemic, from which it could easily have spread to China and India. In October 2010, medical geneticists suggested that all three of the great waves of the plague originated in China. In China, the 13th century Mongol conquest caused a decline in farming and trading. However, economic recovery had been observed at the beginning of the 14th century. In the 1330s a large number of natural disasters and plagues led to widespread famine, starting in 1331, with a deadly plague arriving soon after. Epidemics that may have included plague killed an estimated 25 million Chinese and other Asians during the 15 years before it reached Constantinople in 1347.
What is the term for a disease that is not commonly present?
[ "" ]
[ -1 ]
[ "5a2eb95ca83784001a7d242d" ]
[ "Black_Death" ]
[ 5.26953125, -9.5859375, -9.75, -9.390625, -9.171875, -9.5859375, -9.359375, -9.421875, -9.484375, -9.59375, -9.625, -9.7109375, -10, -9.7109375, -9.59375, -9.609375, -8.4609375, -8.6953125, -9.328125, -10.296875, -8.625, -9.3828125, -6.734375, -7.81640625, -6.90234375, -8.84375, -9.453125, -10.1875, -8.6328125, -4.765625, -7.5625, -7.4140625, -8.7578125, -7.6875, -9.5, -8.7734375, -9.5390625, -9.3828125, -9.53125, -10.0390625, -9.09375, -9.6875, -9.15625, -9.796875, -9.453125, -9.46875, -9.3671875, -9.359375, -8.84375, -9.5234375, -9.703125, -10.1875, -8.8984375, -9.3359375, -9.65625, -9.609375, -8.953125, -9.5625, -10.3359375, -9.203125, -10.390625, -8.8984375, -9.359375, -10.390625, -8.8984375, -9.5234375, -9.9765625, -9.125, -7.75390625, -8.5390625, -9.359375, -9.515625, -9.375, -9.703125, -8.5859375, -9.28125, -9.7734375, -9.1875, -9.265625, -8.78125, -9.1171875, -9.3671875, -9.125, -9.859375, -8.921875, -9.5546875, -9.6015625, -9.4921875, -9.421875, -9.0625, -9.6640625, -9.3828125, -9.5625, -7.62890625, -9.7265625, -9.0703125, -8.6796875, -9.75, -9.4765625, -9.0703125, -9.5546875, -9.2890625, -9.59375, -9.3203125, -9.46875, -9.765625, -9.796875, -9.578125, -9.46875, -8.71875, -7.8125, -9.515625, -9.46875, -9.2890625, -9.6484375, -10.09375, -9.3203125, -9.640625, -9.1171875, -9.828125, -9.296875, -8.0703125, -8.75, -8.921875, -8.6171875, -9.9609375, -9.1015625, -8.921875, -9.6875, -8.71875, -9.8203125, -9.0546875, -9.03125, -9.90625, -9.6015625, -9.59375, -9.4296875, -9.6875, -9.375, -8.5234375, -9.34375, -9.4453125, -8.625, -8.0703125, -8.5859375, -8.8203125, -9.953125, -8.7421875, -7.40234375, -9.09375, -9.140625, -8.546875, -9, -8.1875, -8.90625, -8.3515625, -9.6640625, -8.875, -9.828125, -8.7578125, -8.8984375, -8.46875, -9.703125, -8.109375, -9.15625, -9.1015625, -9.6875, -8.7109375, -7.96875, -9.203125, -7.9296875, -9.1484375, -8.734375, -7.0859375, -8.8984375, -9.0625, -8.0703125, -7.81640625, -9.0546875, -7.19921875, -8.3125, -9.640625, -8.5625, -8.28125, -9.0234375, -9.7734375, -8.421875, -9.453125, -9.890625, -8.2578125, -8.8203125, -8.5234375, -9.53125, -8.640625, -9.0078125, -9.7890625, -7.7421875, -8.734375, -7.40234375, -7.6484375, -9.6796875, -8.046875, -8.5625, -8.40625, -8.25, -8.5390625, -8.46875, -9.171875, -8.0703125, -9.15625, -9.9765625, -9.75, -9.5078125, -10.03125, -9.84375, -8.890625, -8.640625, -9.2109375, -9, -7.44140625, -9.2109375, -8.65625, -10.125, -9.625, -9.09375, -8.6640625, -9.171875, -8.7578125, -9.4453125, -9.421875, -9.234375, -9.359375, -7.95703125, -8.9296875, -7.34375, -8.265625, -8.0703125, -7.84375, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875, -10.4921875 ]
[ 4.35546875, -10.1484375, -9.6875, -10.1640625, -10.046875, -10.546875, -10.578125, -9.9921875, -10.453125, -10.3828125, -10.375, -10.203125, -8.96875, -9.125, -10.1484375, -9.953125, -10.3046875, -9.1328125, -8.140625, -9.6015625, -10.234375, -10.2890625, -10.5078125, -9.9453125, -7.39453125, -9.59375, -8.578125, -9.984375, -10.875, -8.609375, -7.9296875, -5.30078125, -8.625, -9.6796875, -9.859375, -8.3984375, -8.890625, -10.25, -9.3984375, -10.1171875, -10.2734375, -8.921875, -10.0546875, -10.25, -10.4296875, -8.7265625, -8.7109375, -10.3984375, -10.3984375, -10.3828125, -9.015625, -9.421875, -10.4921875, -10.34375, -9.2578125, -10.296875, -10.5078125, -9.1953125, -10.015625, -9.40625, -10.015625, -10.3046875, -9.140625, -9.9375, -10.3359375, -9.828125, -10.5234375, -8.7109375, -8.2734375, -10.2109375, -9.265625, -9.5234375, -10.3125, -10.3046875, -9.9375, -9.3984375, -10.0859375, -9.53125, -10.6953125, -10.625, -10.421875, -10.046875, -8.921875, -10.6171875, -10.0703125, -10.1328125, -10.1015625, -9.21875, -10.34375, -10.6640625, -9.578125, -10.3828125, -10.46875, -8.421875, -9.9296875, -10.5546875, -10.234375, -10.5546875, -9.9921875, -10.109375, -10.390625, -9.25, -10.8203125, -10.265625, -10.65625, -10.109375, -10.65625, -10.125, -8.78125, -7.59765625, -9.3984375, -9.96875, -10.78125, -10.296875, -10.2734375, -10.265625, -9.9296875, -10.90625, -9.9140625, -10.6328125, -8.9140625, -8.0703125, -10.7734375, -10.203125, -9.0234375, -9.9609375, -10.140625, -10.4296875, -9.609375, -10.203125, -10.6171875, -10.765625, -10.0390625, -10.703125, -10.5390625, -10.4609375, -9.7265625, -10.828125, -10.6796875, -8.3359375, -10.3203125, -10.984375, -8.96875, -8.0703125, -10.6484375, -9.0703125, -9.75, -10.65625, -8.90625, -9.9453125, -9.6796875, -9.5, -8.8203125, -10.0859375, -10.6171875, -9.8515625, -10.625, -9.6015625, -10.2578125, -9.0234375, -9.1171875, -9.03125, -9.578125, -9.8984375, -9.078125, -10.1484375, -10.2421875, -9.1953125, -10.2421875, -10.4765625, -9.3828125, -10.7109375, -10.390625, -8.953125, -10.09375, -9.078125, -8.0703125, -10.3203125, -10.4296875, -8.890625, -8.9453125, -9.140625, -10.390625, -9.984375, -9.1796875, -10.0703125, -9.875, -8.9375, -9.9296875, -10.3515625, -7.75, -10.140625, -10.1484375, -9.640625, -8.453125, -9.3046875, -9.28125, -10.421875, -9.2265625, -7.546875, -9.5703125, -9.8125, -10.3671875, -9.9921875, -7.7421875, -9.28125, -10.109375, -8.8125, -8.0703125, -9.53125, -9.03125, -10.5, -10.1796875, -10.2109375, -9.9921875, -8.4609375, -10.2578125, -10.875, -10.1171875, -9.6484375, -9.6796875, -9.046875, -10.1015625, -10.265625, -9.0546875, -10.2421875, -9.921875, -9.6171875, -9.40625, -10.3046875, -10.2890625, -10.234375, -8.1015625, -10.765625, -9.1875, -7.9453125, -8.0703125, -7.7578125, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625, -11.15625 ]
In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.
What type of ideals generalize Noetherian arithmetic?
[ "" ]
[ -1 ]
[ "5a89473c3b2508001a72a599" ]
[ "Prime_number" ]
[ 5.109375, -9.8671875, -9.5546875, -9.9765625, -9.703125, -9.4453125, -9.96875, -8.9296875, -10.140625, -10.3125, -10.3984375, -10.6796875, -9.78125, -9.7265625, -9.40625, -8.4296875, -9.6875, -10.140625, -9.3046875, -8.796875, -9.34375, -8.65625, -10.0234375, -9.0703125, -8.59375, -8.828125, -8.875, -9.2265625, -6.82421875, -9.1328125, -1.099609375, -6.09375, -10.1953125, -8.15625, -6.82421875, -9.265625, -7.69921875, -8.4296875, -8.328125, -8.828125, -8.3984375, -9.2578125, -6.875, -7.05859375, -7.89453125, -9.0546875, -9.28125, -8.8984375, -7.03125, -9.015625, -8.8203125, -6.6171875, -4.54296875, -7.55859375, -9.8984375, -9.78125, -9.703125, -9.546875, -9.140625, -9.6015625, -8.78125, -9.890625, -9.1015625, -9.4921875, -8.34375, -9.140625, -9.390625, -9.578125, -9.140625, -8.453125, -9.5234375, -9.0234375, -9.6640625, -9.6796875, -8.3203125, -9.84375, -9.1796875, -7.9453125, -9.0546875, -3.96875, -7.625, -10.2265625, -9.8828125, -9.5390625, -10.2734375, -9.40625, -10.046875, -9.71875, -9.1796875, -9.0234375, -9, -9.671875, -9.359375, -9.40625, -9.6484375, -9.3671875, -9.484375, -9.8046875, -9.4375, -9.5078125, -9.65625, -9.2734375, -9.3203125, -9.5625, -9.015625, -9.53125, -9.984375, -8.8125, -8.5625, -8.3515625, -9.328125, -9.8515625, -9.140625, -8.2265625, -9.71875, -9.3046875, -8.3203125, -6.890625, -9.5703125, -9.6875, -9.296875, -8.3984375, -9.5703125, -9.3203125, -10.0625, -9.2421875, -8.71875, -8.515625, -8.765625, -9.4453125, -9.2578125, -6.69140625, -8.5390625, -9.2109375, -8.296875, -9.1015625, -9.921875, -9.5859375, -8.703125, -8.21875, -8.234375, -9.0390625, -4.3046875, -7.22265625, -9.515625, -8.8828125, -8.671875, -8.1640625, -8, -7.609375, -8.84375, -9.1015625, -5.171875, -8.2265625, -7.9453125, -7.70703125, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375, -10.1484375 ]
[ 4.5234375, -10.5546875, -9.53125, -9.921875, -10.2734375, -10.8125, -9.640625, -11.234375, -10.6484375, -10.09375, -10.0390625, -9.71875, -9.921875, -10.484375, -10.4375, -9.8671875, -9.3984375, -9.8125, -10.5, -9.6484375, -10.28125, -9.2421875, -10.6484375, -9.96875, -9.6015625, -10.1953125, -10.2421875, -10.5703125, -8.640625, -9.9609375, -2.244140625, -1.4150390625, -6.3125, -8.6796875, -9.25, -8.34375, -8.2109375, -5.8984375, -9.7578125, -10.1484375, -8.8125, -10.1875, -10.34375, -8.7265625, -8.1796875, -8.4375, -10.265625, -10.671875, -7.97265625, -8.0859375, -10.203125, -9.34375, -5.6953125, -5.12109375, -8.71875, -10.34375, -10.125, -9.8984375, -8.75, -9.8828125, -9.734375, -10.5234375, -8.7109375, -10.5546875, -10.6640625, -10.421875, -9.7421875, -8.453125, -8.96875, -10.328125, -9.984375, -9.9921875, -8.7578125, -9.8359375, -10.3359375, -10.1875, -8.03125, -8.0703125, -10.578125, -5.1171875, -4.84765625, -8.8984375, -10, -9.0859375, -10.078125, -8.1875, -9.875, -10.234375, -9.203125, -10.859375, -9.734375, -9.1328125, -10.9765625, -9.8515625, -9.34375, -10.9140625, -9.9140625, -9.4765625, -10.9453125, -9.9140625, -9.53125, -11.0234375, -9.734375, -9.5625, -11.0078125, -9.75, -9.2890625, -8.859375, -10.75, -9.7109375, -9.28125, -10.4296875, -8.765625, -10.0234375, -9.203125, -10.0703125, -10.5859375, -10.0546875, -10.2421875, -9.875, -10.125, -10.6640625, -9.09375, -8.7421875, -9.828125, -10.46875, -10.4140625, -10.3671875, -9.984375, -10.671875, -10.71875, -10, -9.875, -9.28125, -10.5078125, -10.1640625, -9.4140625, -8.921875, -10.75, -10.7734375, -9.2890625, -9.84375, -6.046875, -5.4140625, -8.6796875, -9.859375, -10.3046875, -10.375, -9.140625, -10.234375, -8.171875, -10.53125, -7.6171875, -6.015625, -8.0703125, -7.046875, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375, -11.234375 ]
Immediately after Decision Time a "Members Debate" is held, which lasts for 45 minutes. Members Business is a debate on a motion proposed by an MSP who is not a Scottish minister. Such motions are on issues which may be of interest to a particular area such as a member's own constituency, an upcoming or past event or any other item which would otherwise not be accorded official parliamentary time. As well as the proposer, other members normally contribute to the debate. The relevant minister, whose department the debate and motion relate to "winds up" the debate by speaking after all other participants.
What does the minister who was the catalyst of the Members Business do by speaking after everyone else?
[ "winds up", "winds up", "\"winds up\" the debate" ]
[ 548, 548, 547 ]
[ "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b" ]
[ "Scottish_Parliament", "Scottish_Parliament", "Scottish_Parliament" ]
[ 2.18359375, -8.6171875, -9.0234375, -8.015625, -9.03125, -9.890625, -9.1328125, -7.72265625, -8.375, -9, -8.3984375, -7.4609375, -9.546875, -9.1484375, -7.96484375, -7.48828125, -8.703125, -9.2109375, -9.25, -8.609375, -7.29296875, -7.76171875, -4.8828125, -6.80859375, -6.015625, -3.658203125, -6.1640625, -5.07421875, -5.046875, -4.46484375, -4.95703125, -8.09375, -7.66796875, -5.3828125, -6.5546875, -8.0390625, -6.421875, -6.9921875, -3.97265625, -6.125, -6.5546875, -4.87109375, -7.3984375, -7.484375, -6.9140625, -5.3984375, -8.5078125, -7.75390625, -7.34765625, -7.53515625, -8.8203125, -7.51953125, -6.703125, -7.15625, -8.8984375, -8.6796875, -7.9140625, -7.27734375, -5.66796875, -6.70703125, -6.796875, -8.0859375, -6.7109375, -9.1171875, -7.515625, -6.81640625, -8.6875, -8.5234375, -7.8671875, -7.59375, -7, -7.90234375, -7.3125, -8.21875, -7.6953125, -7.88671875, -8.7265625, -5.82421875, -5.33203125, -8.03125, -7.85546875, -6.60546875, -7.5, -6.671875, -7.33984375, -8.25, -6.6328125, -6.4609375, -8.9765625, -7, -8.2265625, -7.57421875, -8.484375, -6.3984375, -7.38671875, -5.6171875, -6.8671875, -5.52734375, -8.1953125, -6.16015625, -5.86328125, -6.98046875, -3.72265625, -4.71484375, -7.015625, -8.4921875, -5.859375, -5.96875, -7.9921875, -8.78125, -5.796875, -7.1171875, -7.42578125, -4.90625, -6.0625, -5.6015625, -4.203125, -6.58203125, 2.982421875, -5.37109375, -0.2174072265625, -7.2109375, -4.26171875, -4.64453125, -3.935546875, -2.564453125, -8.1640625, -3.705078125, -5.94921875, -3.283203125, 7.125, 7.125, -1.19921875, -0.68115234375, -3.26171875, -2.90625, -1.0390625, -5.60546875, -4.7890625, -4.08203125, -3.689453125, -4.78125, -2.65625, -3.724609375, -3.845703125, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625, -9.90625 ]
[ 1.404296875, -7.90234375, -8.9140625, -10.0234375, -8.9296875, -10.015625, -10.1875, -9.671875, -9.0859375, -8.9921875, -9.4140625, -9.90625, -7.46484375, -8.15625, -9.03125, -9.1875, -8.984375, -8.8203125, -7.6796875, -6.00390625, -8.546875, -9.09375, -8.53125, -7.84765625, -8.8203125, -7.27734375, -5.55078125, -7.7734375, -9.1015625, -6.4453125, -4.37890625, -6.59765625, -9.1328125, -5.34765625, -0.7265625, -8.890625, -8.34375, -8.5078125, -6.203125, -5.13671875, -7.84765625, -8.1875, -5.86328125, -9.609375, -9.7265625, -7.328125, -9.171875, -9.3359375, -7.2578125, -7.8984375, -9.65625, -9.5859375, -9.9921875, -6.3203125, -10.046875, -10.1171875, -9.7578125, -9.6796875, -6.55859375, -6.171875, -7.19921875, -9.6015625, -6.7578125, -10.234375, -9.453125, -8.6796875, -9.6484375, -9.8046875, -9.46875, -9.65625, -7.60546875, -9.390625, -8.6171875, -8.53125, -7.56640625, -9.8515625, -10.0390625, -9.265625, -7.58984375, -9.1484375, -8.859375, -5.3125, -7.66796875, -9.7578125, -8.0390625, -9.9140625, -7.64453125, -6.80078125, -10.2734375, -9.6953125, -8.625, -8.359375, -9.3203125, -9.609375, -8.78125, -8.6953125, -7.63671875, -8.4296875, -8.5703125, -8.8828125, -6.828125, -6.07421875, -0.798828125, -8.7578125, -8.6640625, -10.03125, -9.1953125, -8.5390625, -6.09375, -7.81640625, -8.9140625, -7.8984375, -8.703125, -7.82421875, -8.421875, -7.53125, -3.501953125, -4.87890625, -6.03125, -7.05859375, -6.3984375, -6.34375, -8.671875, -6.03125, -8.09375, -3.841796875, -6.73046875, -4.984375, -7.26171875, -5.5859375, -4.6796875, -1.2607421875, -2.744140625, 4.53515625, 1.59375, -2.29296875, 6.39453125, -4.14453125, -4.6015625, -6.640625, -7.44140625, -7.3671875, 2.13671875, -0.79833984375, -0.06927490234375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375, -10.4375 ]
End of preview. Expand in Data Studio

Dataset Card for AutoTrain Evaluator

This repository contains model predictions generated by AutoTrain for the following task and dataset:

  • Task: Question Answering
  • Model: deepset/roberta-large-squad2
  • Dataset: squad_v2
  • Config: squad_v2
  • Split: validation

To run new evaluation jobs, visit Hugging Face's automatic model evaluator.

Contributions

Thanks to @nonchalant-nagavalli for evaluating this model.

Downloads last month
36
Size of downloaded dataset files:
9.98 MB
Size of the auto-converted Parquet files:
9.98 MB
Number of rows:
11,869