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here 's a modern example you will all relate to searching the internet | CedricVillani_2016 | -1no label
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<unk> the world wide web more than one billion web pages do you want to go through them all | CedricVillani_2016 | -1no label
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computing power helps <unk> but it would be useless without the mathematical modeling to find the information hidden in the data | CedricVillani_2016 | -1no label
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let 's work out a baby problem <unk> | CedricVillani_2016 | -1no label
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imagine that you 're a detective working on a crime case <unk> and there are many people who have their version of the facts | CedricVillani_2016 | -1no label
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who do you want to interview first | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-451.79-453.77-<NA> | [
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<unk> answer prime witnesses you see suppose that | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-455.26-461.64-<NA> | [
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there is person number seven | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-461.43-464.2-<NA> | [
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tells you a story but when you ask where he got if from he points to person number three as a source <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-464.04-470.47-<NA> | [
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and maybe person number three in turn points at person number one | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-470.47-474.66-<NA> | [
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as the primary source now number one is a prime witness so i definitely want to interview | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-474.47-479.97-<NA> | [
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<unk> him priority <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-479.96-481.83-<NA> | [
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and from the graph we also see that person number four is a prime witness <unk> and maybe i even want to interview him first because there are more people who refer to him <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-481.67-491.82-<NA> | [
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] | 10.16 |
ok that was easy <unk> but now what about if you have a big bunch of people who will testify | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-491.87-500.11-<NA> | [
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<unk> and this graph i may think of it as | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-500.82-504.34-<NA> | [
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] | 3.52 |
all people who testify in a complicated crime case <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-504.17-507.7-<NA> | [
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but it may just as well be web pages pointing to each other referring to each other for contents | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-507.7-514.54-<NA> | [
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which ones are the most authoritative not so clear <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-514.35-519.43-<NA> | [
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enter pagerank one of the early cornerstones of google | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-519.6-525.01-<NA> | [
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this algorithm uses the laws of mathematical randomness to | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-524.82-529.73-<NA> | [
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]
] | 4.92 |
<unk> determine automatically the most relevant web pages in the same way as we used randomness in the galton board experiment | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-529.69-538.97-<NA> | [
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] | 9.28 |
so let 's send into this graph a bunch of tiny digital marbles | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-538.84-544.59-<NA> | [
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] | 5.76 |
and let them go randomly through the graph | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-544.23-548.18-<NA> | [
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each time they arrive at some site they will go out through some link chosen at random to the next one <unk> and again | CedricVillani_2016 | -1no label
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<unk> again and again and with small growing piles we 'll keep the record of how many times each site has been visited by these digital marbles | CedricVillani_2016 | -1no label
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here we go randomness randomness | CedricVillani_2016 | -1no label
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and from time to time also let 's make jumps completely randomly to increase the fun <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-567.58-573.6-<NA> | [
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and look at this from the chaos will emerge the solution the | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-573.98-579.73-<NA> | [
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<unk> highest piles correspond to those sites which somehow are better connected than the others <unk> more pointed at than the others <unk> and here we see clearly which are the web pages we want to first try <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-579.69-592.93-<NA> | [
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once again <unk> the solution emerges from the randomness | CedricVillani_2016 | -1no label
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of course <unk> since that time <unk> google has come up with much more sophisticated algorithms | CedricVillani_2016 | -1no label
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<unk> was beautiful <unk> | CedricVillani_2016 | -1no label
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and still <unk> just one problem in a million | CedricVillani_2016 | -1no label
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with the advent of digital area <unk> more and more problems lend themselves to mathematical analysis <unk> | CedricVillani_2016 | -1no label
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making the job of mathematician a more and more useful one | CedricVillani_2016 | -1no label
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to the extent that a | CedricVillani_2016 | -1no label
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few years ago <unk> it was ranked number one among hundreds of jobs in a study | CedricVillani_2016 | -1no label
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about the best and worst jobs published by the wall street journal in two thousand and nine mathematician | CedricVillani_2016 | -1no label
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best job in the world | CedricVillani_2016 | -1no label
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<unk> analysis <unk> and why not stochastic processes linear programming or fluid simulation | CedricVillani_2016 | -1no label
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each of these fields have monster industrial applications <unk> and through them there is big money in mathematics | CedricVillani_2016 | -1no label
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and let me concede that when it comes to making money from | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-670.92-675.08-<NA> | [
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<unk> the americans are by a long shot the world champions | CedricVillani_2016 | -1no label
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with clever <unk> emblematic billionaires and amazing giant companies all resting <unk> ultimately on good algorithm | CedricVillani_2016 | -1no label
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now with all this beauty <unk> usefulness and wealth mathematics does look more sexy <unk> | CedricVillani_2016 | -1no label
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but don 't you think that the life a mathematical researcher is an easy one <unk> it is filled with perplexity | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-695.98-704.97-<NA> | [
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frustration a desperate fight for understanding | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-705.1-711-<NA> | [
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let me evoke for you one of the most striking days in my mathematician 's life | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-711.47-718.3-<NA> | [
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or should i say one of the most striking nights | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-718.3-721.95-<NA> | [
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at that time i was staying at the institute for advanced studies in princeton for many years the home of albert einstein and | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-722.24-729.49-<NA> | [
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<unk> the most holy place for mathematical research in the world | CedricVillani_2016 | -1no label
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<unk> and that night i was working and working on an elusive proof which was incomplete <unk> | CedricVillani_2016 | -1no label
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it was all about understanding the paradoxical stability property of plasmas which are a crowd of electrons in | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-740.82-749.89-<NA> | [
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the perfect world of plasma there are no collisions | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-750-754.79-<NA> | [
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<unk> and no friction to provide the stability like we are used to <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-754.93-759.14-<NA> | [
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] | 4.213333 |
but still if you slightly perturb a plasma equilibrium you will find that the resulting electric field spontaneously vanishes <unk> or damps out as if | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-758.86-771.66-<NA> | [
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] | 12.8 |
by some mysterious friction force this paradoxical effect <unk> called the landau damping is one of the most important in | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-771.49-779.79-<NA> | [
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<unk> physics and it was discovered through mathematical ideas | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-780.11-784.59-<NA> | [
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but still <unk> a full mathematical understanding of this phenomenon was missing <unk> and together with my former student and main collaborator | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-784.52-794.08-<NA> | [
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in paris at the time we had been working for months and months on such a | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-795.13-799.99-<NA> | [
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<unk> i had already announced by mistake that we could solve it <unk> but the truth is the proof was just not working | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-803.13-811.96-<NA> | [
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in spite of more than one hundred pages of complicated mathematical arguments and a bunch discoveries and huge calculation it was not working | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-811.96-821.2-<NA> | [
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and that night in princeton a certain gap in the chain of arguments was driving me crazy <unk> i was putting in there all my energy | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-820.8-829.97-<NA> | [
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and experience and tricks <unk> and still nothing was working one | CedricVillani_2016 | -1no label
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<unk> my head i swear take the second term to the other side fourier transform and invert in l2 damn | CedricVillani_2016 | -1no label
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it that was the start of the solution | CedricVillani_2016 | -1no label
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you see i thought i had taken some rest <unk> but really my brain had continued to work on it in | CedricVillani_2016 | -1no label
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those moments you don 't think of your career or your colleagues | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-874.67-879.25-<NA> | [
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<unk> complete battle between the problem and you | CedricVillani_2016 | -1no label
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that being said <unk> it does not harm when you do get a promotion in reward for your hard work and after we completed | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-883.59-892.19-<NA> | [
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our huge analysis of the landau damping i was lucky enough to get the most coveted fields medal from the | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-891.98-900.02-<NA> | [
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<unk> hands of the president of india in hyderabad on nineteen august two thousand and ten | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-900-906.8-<NA> | [
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an honor that mathematicians never dare to dream a day that i will remember until i live <unk> | CedricVillani_2016 | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CedricVillani_2016.sph | CedricVillani_2016-906.94-913.64-<NA> | [
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what do you think on such an occasion <unk> | CedricVillani_2016 | -1no label
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pride yes <unk> and gratitude to the many collaborators who made this possible <unk> | CedricVillani_2016 | -1no label
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and because it was a collective adventure you need to share it not just with your collaborators | CedricVillani_2016 | -1no label
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<unk> collaborators | CedricVillani_2016 | -1no label
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i believe that everybody can appreciate the thrill of mathematical research and share the passionate stories of humans and ideas behind it | CedricVillani_2016 | -1no label
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and i 've been working with my staff at institut | CedricVillani_2016 | -1no label
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together with partners and artists of mathematical communication worldwide so that we can found our own very special | CedricVillani_2016 | -1no label
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museum of mathematics there | CedricVillani_2016 | -1no label
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so in a few years | CedricVillani_2016 | -1no label
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when you come to paris <unk> after tasting the great crispy baguette and macaroon <unk> | CedricVillani_2016 | -1no label
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please come and visit us at institut henri poincar and share the mathematical dream with us thank you | CedricVillani_2016 | -1no label
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<unk> evidence suggests that humans in all ages and from all cultures create their identity in some kind of narrative form | BeebanKidron_2012S | -1no label
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from mother to daughter preacher to congregant <unk> teacher to pupil storyteller to audience whether in cave paintings or the | BeebanKidron_2012S | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BeebanKidron_2012S.sph | BeebanKidron_2012S-21.13-29.88-<NA> | [
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<unk> latest uses of the internet human beings have always told their histories and truths | BeebanKidron_2012S | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BeebanKidron_2012S.sph | BeebanKidron_2012S-29.81-36.06-<NA> | [
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through parable and fable we are inveterate storytellers <unk> | BeebanKidron_2012S | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BeebanKidron_2012S.sph | BeebanKidron_2012S-35.89-41.43-<NA> | [
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but where | BeebanKidron_2012S | -1no label
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in our increasingly secular and fragmented world do we offer communality of experience <unk> | BeebanKidron_2012S | -1no label
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unmediated by our own furious consumerism | BeebanKidron_2012S | -1no label
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<unk> narrative what history <unk> what identity <unk> what moral code | BeebanKidron_2012S | -1no label
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are we imparting to our young | BeebanKidron_2012S | -1no label
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cinema is arguably the 20th century 's most influential art form | BeebanKidron_2012S | -1no label
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its artists told stories across national boundaries | BeebanKidron_2012S | -1no label
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in as many languages genres and philosophies as one can imagine indeed it is hard to find a subject that film | BeebanKidron_2012S | -1no label
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<unk> has yet to tackle <unk> | BeebanKidron_2012S | -1no label
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during the last decade we 've seen a vast integration of global media now dominated by a culture of the hollywood blockbuster | BeebanKidron_2012S | -1no label
| /home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BeebanKidron_2012S.sph | BeebanKidron_2012S-81.52-89.19-<NA> | [
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we are increasingly offered a diet in which sensation not story is king | BeebanKidron_2012S | -1no label
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what was common to us all forty years ago | BeebanKidron_2012S | -1no label
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