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30
and i think that my mathematics <unk>
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3.04
surprisingly enough <unk> has been of great
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2.64
<unk> to the surgeons studying lung illnesses
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4.04
and also kidney illnesses all these branching systems for which there was no geometry <unk> so i found myself in other words <unk>
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9.32
constructing a geometry <unk> a geometry of things which had no geometry
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5.12
and a surprising aspect of it is that very often the rules of this geometry are extremely
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6.36
<unk> you get things like that this cloud is completely one hundred percent artificial
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5.8
<unk> point nine <unk> and the only part which is natural is a number the roughness of the cloud <unk> which is taken from nature something so
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-417.17-425.05-<NA>
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7.88
<unk> so unstable so varying should have a simple rule behind it <unk> now this simple rule
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-426.33-433.24-<NA>
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6.92
is not an explanation of clouds <unk> the seer of clouds had to take account of it i don 't know
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-434.01-442.39-<NA>
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8.386667
how much advanced these pictures are they 're old i was very much involved in it but then turned my attention to
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-442.23-449.99-<NA>
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7.76
<unk> here is another thing which is rather
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-451.84-454.88-<NA>
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3.04
interesting one of the shattering events in the history of mathematics <unk> which is not appreciated by many people occurred
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-454.42-463.7-<NA>
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9.28
about one hundred and thirty years ago one hundred and forty five years ago <unk> mathematicians began to create shapes that didn 't exist <unk> mathematicians got into into
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-463.3-472.76-<NA>
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9.466667
self praise to an extent which was absolutely amazing that man can invent things that nature did not know
BenoitMandelbrot_2010
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6.733333
<unk> in particular <unk> it could invent things like a curve which fills the plane
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4.733333
a curve 's a curve <unk> a plane 's a plane and the two won 't mix <unk> well they do mix <unk>
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BenoitMandelbrot_2010-484.66-490.89-<NA>
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6.24
a man named peano
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BenoitMandelbrot_2010-490.52-492.64-<NA>
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2.12
did define such curves <unk> and
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BenoitMandelbrot_2010-492.47-495.3-<NA>
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2.84
it became an object of extraordinary interest it was very important but mostly
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5.36
<unk> mostly interesting because a kind of break a separation between
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4.973333
the mathematics coming from reality on the one hand and new mathematics coming from pure
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BenoitMandelbrot_2010-504.51-509.78-<NA>
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5.28
man 's mind well <unk> i was very sorry to point out that the pure man 's mind has <unk> in fact <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-509.6-518.17-<NA>
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8.573333
seen at long last what had been seen for a long time and so here i introduce something the set of
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-518.22-524.84-<NA>
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6.626667
<unk> an extraordinary period in which mathematics prepared itself to break out from the world <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-534.28-539.08-<NA>
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4.8
and the objects which were used as examples when i was a child and and a student as examples of the break between mathematics
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-539.08-548.45-<NA>
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9.373333
and visible reality
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-547.99-550.2-<NA>
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2.213333
completely around <unk> i used them for describing some of the aspects of the complexity of nature <unk>
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BenoitMandelbrot_2010-552.41-559.77-<NA>
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7.36
well a man named hausdorff in one thousand nine hundred and nineteen introduced a number which was just a mathematical joke <unk> and i found that this number was a good measurement of roughness when
BenoitMandelbrot_2010
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9.506667
i first told it to my friends in mathematics they said
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BenoitMandelbrot_2010-569.02-571.42-<NA>
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2.4
<unk> the things on the ground are algae he did not know the mathematics it didn 't yet exist <unk> and he was japanese who had no contact with the west <unk> but
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8.96
painting for a long time had a fractal side i could speak of that for a long time <unk> the eiffel tower has a fractal aspect
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7.04
i read the book that mr eiffel wrote about his tower and indeed it was astonishing how much he understood <unk> this is a mess mess mess
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-595.6-604.25-<NA>
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8.653333
<unk> loop <unk> one day i decided halfway through my career i was held by so many things
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-604.9-611.63-<NA>
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6.733333
in my work i decided to test myself <unk> could i just look at something which everybody had been looking at for a long time
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-611.2-619.49-<NA>
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8.293333
and find something dramatically new <unk> well <unk> so i looked
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-619.09-624.93-<NA>
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5.84
<unk> i played with it for a while and i made it return to the origin then i was telling my assistant i don 't see anything can you paint it so he painted it <unk> which means he put inside everything
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BenoitMandelbrot_2010-630.2-641.35-<NA>
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11.16
<unk> measured it <unk> one point three three again again again <unk> long measurements big brownian <unk>
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-654.99-661.15-<NA>
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6.16
mathematical problem how to prove it <unk> it took my friends twenty years three of them
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BenoitMandelbrot_2010-662.67-670.12-<NA>
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7.453333
were having incomplete proofs <unk> they got together and together they had the proof
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5.026667
<unk> medal in mathematics <unk> one of the three medals that people
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BenoitMandelbrot_2010-677.74-680.93-<NA>
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3.2
have received for proving things which i 've seen without being able to prove them
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5.893333
now everybody asks me at one point or another how did it all start what got you in that
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6.746667
strange business what got you to be at the same time <unk> a mechanical engineer <unk>
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BenoitMandelbrot_2010-693.15-699.8-<NA>
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6.653333
a geographer and a mathematician and so on a physicist well actually i started
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BenoitMandelbrot_2010-699.76-704.97-<NA>
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5.213333
<unk> oddly enough <unk> studying stock market prices <unk> and so here i had this this theory <unk> and
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BenoitMandelbrot_2010-705.04-713.4-<NA>
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8.36
i wrote books about it
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-713.33-715.29-<NA>
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1.96
financial prices increments to the left you see data over a long period to the right on top you see a theory which is very very fashionable it was very easy and you can write many books very fast about it
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-715.16-727.48-<NA>
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12.32
<unk> of books on that <unk> now
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-729.9-732.31-<NA>
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2.413333
compare that with real price increments where are real price increments <unk> well these other lines include some real price increments and some forgery which i did <unk>
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-732.24-743.29-<NA>
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11.053333
so the idea there was that one must be able to to how do you say <unk>
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-742.86-747.82-<NA>
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4.96
model price variation and it went really well fifty years ago for fifty years
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-747.48-753.83-<NA>
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6.36
<unk> sort of pooh poohing me because they could do it much much easier but i tell you at this point people listened to me
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-754.84-761.81-<NA>
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6.973333
laughter these two curves are averages <unk> standard <unk> & poor the blue one <unk> and the red one is standard & poor 's from which the five biggest discontinuities are taken out <unk>
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-762.4-774.38-<NA>
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11.986667
now discontinuities are a nuisance
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-773.92-776.46-<NA>
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2.546667
<unk> one puts them aside well <unk> acts of god <unk> and you have
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-780.05-784.07-<NA>
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4.026667
the little nonsense which is left <unk> acts of god in this picture <unk> five acts of god are as important as everything else <unk>
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-783.91-792.6-<NA>
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8.693333
in other words <unk> it is not acts of god that we should put aside that is the meat the problem <unk> if you
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-792.2-799.56-<NA>
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7.36
master
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-799.22-800.23-<NA>
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1.013333
<unk> you master price <unk> and if you don 't master these you can master the little noise
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4.306667
as well as you can but it 's not important well here are the curves for it <unk> now i get to the final thing which is the set of which my name is attached <unk> in
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9.96
a way it 's the story of my life my adolescence was spent during the german occupation of france since i thought that i might
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9.146667
vanish within a day or a
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1.68
<unk> had very big dreams <unk> and
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2.48
after the war
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1.786667
<unk> i saw an uncle again <unk> my uncle was a very prominent mathematician and he told me look there 's a problem which i could not solve twenty five years ago <unk>
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BenoitMandelbrot_2010-830.38-839.51-<NA>
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9.133333
and which nobody can solve this is a construction of a man named [ gaston ] julia and [ pierre ] fatou if you could
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-839.44-847.31-<NA>
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7.88
find something new anything you will get your
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-847.15-850.08-<NA>
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2.933333
<unk> so i looked <unk> and like the thousands of people that had tried before i found nothing <unk> but then the computer came <unk> and
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-852.98-862.56-<NA>
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9.586667
i decided to to apply the computer not to new problems in mathematics like this wiggle wiggle that 's a new problem but to old problems <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-862.13-870.21-<NA>
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8.08
and i went from what 's called real numbers which are points on a line
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-869.87-875.05-<NA>
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5.186667
<unk> which is what one should do there <unk> and this shape came out <unk> this shape is of an extraordinary complication <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-879-886.51-<NA>
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7.52
the equation is hidden there z goes into z squared plus c it 's so simple so dry it 's so
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-886.2-893.21-<NA>
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7.013333
<unk> don 't want to explain these things this comes out <unk> this comes out shapes which are of such complication <unk> such harmony and such beauty <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-904.87-913.73-<NA>
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8.866667
this comes out
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-913.6-915.45-<NA>
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1.853333
repeatedly again again again <unk>
BenoitMandelbrot_2010
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/BenoitMandelbrot_2010.sph
BenoitMandelbrot_2010-915.12-917.72-<NA>
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2.6
and that was one of my major discoveries to find that these islands were the same as the whole big thing more or less <unk>
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-917.26-924.05-<NA>
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6.8
and then you get these extraordinary baroque decorations all over the place
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-923.56-928.8-<NA>
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5.24
<unk> that from this little formula which has whatever five symbols in it <unk>
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-929.93-935.82-<NA>
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5.893333
and then this one the color was added for two reasons first of all because these shapes are so complicated
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-935.42-943.11-<NA>
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7.693333
that
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-943.28-944.7-<NA>
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1.426667
one couldn 't make any sense of the numbers <unk> and if you plot them you must choose some system <unk> and so
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6.76
my principle has been to always present the
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-950.81-954.73-<NA>
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3.92
with different colorings because some colorings emphasize that and others it is that or that <unk> it 's so complicated in one thousand nine hundred
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BenoitMandelbrot_2010-955.41-962.92-<NA>
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7.52
and ninety i was in cambridge u k to receive a prize
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4.066667
from the university <unk> and three days later <unk> a pilot was flying over the landscape and found this thing <unk>
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BenoitMandelbrot_2010-968.08-974.96-<NA>
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6.88
<unk> so the newspaper in cambridge published an article about that discovery and received the next day five thousand letters from people saying but that 's simply a mandelbrot set
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-982.75-991.94-<NA>
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9.2
very big
BenoitMandelbrot_2010
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BenoitMandelbrot_2010-992.17-993.92-<NA>
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1.76
well <unk> let me finish <unk> this shape here just came out of an exercise in pure mathematics <unk> bottomless wonders spring from simple rules <unk>
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-993.46-1003.58-<NA>
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10.12
which are repeated
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-1003.09-1004.55-<NA>
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1.466667
<unk> without end <unk> thank you very much
BenoitMandelbrot_2010
-1no label
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BenoitMandelbrot_2010-1004.75-1007.38-<NA>
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2.64
<unk> since this is tedglobal who can tell me what this is called in french i see you 're all up on the history of
CarolinePhillips_2010G
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/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-13.36-19.53-<NA>
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6.173333
<unk> kinds and shapes of the hurdy gurdy the hurdy gurdy is the only musical instrument
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-29.96-35.05-<NA>
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5.093333
that uses a crank to turn a wheel
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-34.87-38-<NA>
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3.133333
to rub strings like the bow of a violin to produce music it has three different kinds of strings
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-37.84-45.09-<NA>
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7.253333
the first string is the drone string <unk> which plays a continuous sound
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-45.53-50.02-<NA>
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4.493333
<unk> and the third string is pretty innovative it 's also the only instrument that uses this kind of
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-65.22-70-<NA>
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4.786667
of technique it activates what 's called the buzzing bridge or the dog <unk> when i turn the crank and i apply pressure
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-69.99-78.23-<NA>
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8.24
it makes a sound like a barking dog <unk> <unk> so all of this is pretty innovative if you consider
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-81.43-88.97-<NA>
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7.546667
that the hurdy gurdy appeared about a thousand years ago and it took two people to play it one to turn the crank
CarolinePhillips_2010G
-1no label
/home/sanchit_huggingface_co/.cache/huggingface/datasets/downloads/extracted/71c0f456cfe9075fb7b1d374f2527da13362a31a4c4a9804763d13aa5ffd557b/train/CarolinePhillips_2010G.sph
CarolinePhillips_2010G-89.2-95.06-<NA>
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5.866667