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BONGHITZ
Jan 1, 1970

Post the sickest proofs u got

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BONGHITZ
Jan 1, 1970

thread => gas

Don Lapre
Mar 28, 2001

If you're having problems you're either holding the phone wrong or you have tiny girl hands.

BONGHITZ posted:

thread => gas

overeager overeater
Oct 16, 2011

"The cosmonauts were transfixed with wonderment as the sun set - over the Earth - there lucklessly, untethered Comrade Todd on fire."



False

bump_fn
Apr 12, 2004

two of them
http://math.stanford.edu/~lekheng/flt/wiles.pdf

bump_fn
Apr 12, 2004

two of them
http://arxiv.org/pdf/math/0211159v1.pdf

http://arxiv.org/pdf/math/0303109v1.pdf

http://arxiv.org/pdf/math/0307245v1.pdf

echinopsis
Apr 13, 2004

by Fluffdaddy
1+1=windoe

bump_fn
Apr 12, 2004

two of them
can we post open problems w/o proofs????

bump_fn
Apr 12, 2004

two of them
http://www.claymath.org/sites/default/files/navierstokes.pdf

dad gay. so what
Feb 18, 2003

by FactsAreUseless
what is this place?

KOTEX GOD OF BLOOD
Jul 7, 2012

math is dumb

DaNzA
Sep 11, 2001

:D
Grimey Drawer

George
Nov 27, 2004

No love for your made-up things.

qed

emoji
Jun 4, 2004

Symbolic Butt
Mar 22, 2009

(_!_)
Buglord

idgi

echinopsis
Apr 13, 2004

by Fluffdaddy
how don yout

Symbolic Butt
Mar 22, 2009

(_!_)
Buglord
oh wait now igi

Soricidus
Oct 21, 2010
freedom-hating statist shill
it's u!!!

oh wait sorry i didn't notice the r

THE BIG DOG DADDY
Oct 16, 2013

Rasheed was, with Aliases, the top 7 PvPers in Bone Krew.


No one talks about this.
it's in the pudding

carry on then
Jul 10, 2010

by VideoGames

(and can't post for 10 years!)

Symbolic Butt posted:

oh wait now igi

that's a lotta proofs

graph
Nov 22, 2006

aaag peanuts
.99999999999999999 = 1 , OP

BONGHITZ
Jan 1, 1970

bump_fn posted:

can we post open problems w/o proofs????

sure, maybe we can solve it ~together~

BONGHITZ
Jan 1, 1970


this is a long fuker

Su-Su-Sudoko
Oct 25, 2007

what stands in the way becomes the way

graph posted:

.99999999999999999... = 1 , OP

ftfy

JewKiller 3000
Nov 28, 2006

by Lowtax
http://research.microsoft.com/en-US/people/gonthier/4colproof.pdf

Hesh Ballantine
Feb 13, 2012
http://www.marmet.org/louis/induction_faraday/rajaraman380246.pdf

big scary monsters
Sep 2, 2011

-~Skullwave~-
i have discovered a truly remarkable proof which this post is too small to contain

Broken Machine
Oct 22, 2010

the .9~ = 1 is easy to prove with some basic algebra

.9~ = x

so 10* each is

9.9~ = 10x
minus the original equation leaves

9 = 9x

so x is 1

echinopsis
Apr 13, 2004

by Fluffdaddy
I dot think they are the same or they would look the same

they might be equivalent but it's like saying
"4 is actually just 2+2"

big scary monsters
Sep 2, 2011

-~Skullwave~-

echinopsis posted:

"4 is actually just 2+2"

this checks out

JewKiller 3000
Nov 28, 2006

by Lowtax

echinopsis posted:

I dot think they are the same or they would look the same

they might be equivalent but it's like saying
"4 is actually just 2+2"

they don't have to look the same to be the same number. 2/3 is the same as .666..., just as 3/3 = .999... = 1. also it is completely accurate to say that 2+2 and 4 are the same number, that's what the = between them means

echinopsis
Apr 13, 2004

by Fluffdaddy
I, in all my non knowledge, disagree

I thought the whole 1/3 = 0.333 was allowed as an approximation but that 1/3 is a perfect 1/3 while 0.333 is merely a noble attempt

it's like, you just cannot completely represent 1/3 as a decimal without compromise


other day was wondering if square wave was really just a bunch of sine waves or if rather the square wave could be analysed as a bunch of sine waves but wasn't actually the same thing

JewKiller 3000
Nov 28, 2006

by Lowtax

echinopsis posted:

I, in all my non knowledge, disagree

I thought the whole 1/3 = 0.333 was allowed as an approximation but that 1/3 is a perfect 1/3 while 0.333 is merely a noble attempt

it's like, you just cannot completely represent 1/3 as a decimal without compromise


other day was wondering if square wave was really just a bunch of sine waves or if rather the square wave could be analysed as a bunch of sine waves but wasn't actually the same thing

.333 is not the same as 1/3 because the repeating 3s stop after a finite number of them. so yes that's just an approximation. the key is the ..., which means the 3s go on FOREVER. this ... notation is just shorthand for the sum of an infinite series

BONGHITZ
Jan 1, 1970

echinopsis posted:




other day was wondering if square wave was really just a bunch of sine waves or if rather the square wave could be analysed as a bunch of sine waves but wasn't actually the same thing

A square wave is a non-sinusoidal periodic waveform (which can be represented as an infinite summation of sinusoidal waves), in which the amplitude alternates at a steady frequency between fixed minimum and maximum values, with the same duration at minimum and maximum.

from the wikipedia article on square wave, which led me to this: https://en.wikipedia.org/wiki/Gibbs_phenomenon

echinopsis
Apr 13, 2004

by Fluffdaddy
you should go back to
Gibbs

du -hast
Mar 12, 2003

BEHEAD THOSE WHO INSULT GENTOO

echinopsis posted:

you should go back to
Gibbs

THE BIG DOG DADDY
Oct 16, 2013

Rasheed was, with Aliases, the top 7 PvPers in Bone Krew.


No one talks about this.

Broken Machine posted:

the .9~ = 1 is easy to prove with some basic algebra

.9~ = x

so 10* each is

9.9~ = 10x
minus the original equation leaves

9 = 9x

so x is 1

you've broken the build

bump_fn
Apr 12, 2004

two of them
.9997 = 1

echinopsis
Apr 13, 2004

by Fluffdaddy
0.3 = 0.4

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Symbolic Butt
Mar 22, 2009

(_!_)
Buglord
basically it's kind of a weird consequence of defining real numbers (which is intimately related to how you deal with infinite sums). you have no idea how bananas real numbers can be

if you just throw away real numbers and try to assume 0.999... != 1 you still get a somewhat consistent system, but it's even crazier

this is what mathematical definitions are all about, making choices that lead to the relatively most sensible systems

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