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/sci/ - Science & Math

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Anonymous Fri Mar 18 16:08:54 2011 No.2732465 [Reply] [Original]

<-- my face when I learned complex differentiable functions are infinitely differentiable

Post your reaction to mathematical revelations

>>	Anonymous Fri Mar 18 16:13:54 2011 No.2732499 File: 37 KB, 450x619, Buddha.jpg [View same] [iqdb] [saucenao] [google] on understanding quadratic reciprocity

>>	Anonymous Fri Mar 18 16:13:54 2011 No.2732498 a lot of functions are infinitely differentiable, like the function f(x) = 0. Why is it such a surprise?

>>	Anonymous Fri Mar 18 16:14:24 2011 No.2732509 File: 49 KB, 560x319, dsad3.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Fri Mar 18 16:14:54 2011 No.2732504 File: 1.63 MB, 2560x1920, 1300397160094.jpg [View same] [iqdb] [saucenao] [google] >>2732465 I'm with you OP, this is some sexy stuff. related: Do you know Terence Tao?

>>	μαθμαν - the enlightened undergraduate !!vnLoxcfyRGs Fri Mar 18 16:15:54 2011 No.2732512 >>2732498 Because a complex function is infinitely differentiable iff it is differentiable.

>>	Anonymous Fri Mar 18 16:15:54 2011 No.2732515 >>2732504 I don't know him but I went to one of his talks once

>>	Anonymous Fri Mar 18 16:18:54 2011 No.2732536 File: 91 KB, 279x253, Screenshot-5.png [View same] [iqdb] [saucenao] [google] Me: While studying Godels incompleteness theorem

>>	Anonymous Fri Mar 18 16:18:54 2011 No.2732537 >>2732512 Thank you, tautologist.

>>	Josef !!nUf2NflSAyw Fri Mar 18 16:21:54 2011 No.2732556 >>2732537 >Doesn't know the difference between if and iff

Anonymous Fri Mar 18 16:23:54 2011 No.2732568

>>2732537
That's not a tautology! It's false for functions R -> R, it's only C -> C functions that it holds for. And it's an incredibly strong theorem.

Hey guys, if you're into maths you don't have to wait until someone teaches you this shit: Go study complex analysis today!

>>	Anonymous Fri Mar 18 16:30:54 2011 No.2732598 File: 17 KB, 400x314, confused3.jpg [View same] [iqdb] [saucenao] [google] > my face when an undergrad

Anonymous Fri Mar 18 16:37:54 2011 No.2732635
File: 63 KB, 450x360, fa2bb25f4b192067362a2b4f3f66a0c2_9629607.jpg [View same] [iqdb] [saucenao] [google]

>>2732515
he is also part of this colaborative prove homepage project and he often posts in some math forum.
Anyway, once someone asked the question:
"what is the special thing about holomorphic functiona!?"
and he gave some profound answer.
But I can't recall it ^^

Anonymous Fri Mar 18 16:39:54 2011 No.2732648
File: 76 KB, 450x360, 63e0f763313df5e16457a0dbeafeafe4_9878624.jpg [View same] [iqdb] [saucenao] [google]

It was something in the sense of
they are the function which admit an integral kernel which is...

they talk about the differentiable stuff here as well:
http://en.wikipedia.org/wiki/Cauchy_formula

>>	Anonymous Fri Mar 18 16:42:54 2011 No.2732669 >>2732536 Haha me too. I was like getting up and walking around excitedly while realising more and more parts of the proof. This went on for fucking hours and my GF was laughing all the time.

>>	Anonymous Fri Mar 18 16:52:54 2011 No.2732728 File: 44 KB, 633x469, TheFaceOfWar-Dali.jpg [View same] [iqdb] [saucenao] [google] as a physicist, i wish i did more maths.

>>	Anonymous Fri Mar 18 16:52:54 2011 No.2732733 >>2732568 The percentage of people on this board that know any real mathematics is probably in low single figures.

>>	Anonymous Fri Mar 18 16:56:54 2011 No.2732751 File: 254 KB, 1327x1080, trollface.png [View same] [iqdb] [saucenao] [google] mfw .999... =/= 1

>>	Anonymous Fri Mar 18 16:56:54 2011 No.2732752 >>2732536 What would you say is the best book to learn logic and set theory from scratch up until Godel's theorems? I've neglected pure maths lately in favour of statistics/probability....

>>	Anonymous Fri Mar 18 17:12:54 2011 No.2732820 File: 30 KB, 453x604, a potato.jpg [View same] [iqdb] [saucenao] [google] >>2732465 >mfw I can figure out the definiteness of a matrix just by analyzing it's principal submatrixes/determinants instead of using quadratic forms >maybe

>>	Anonymous Fri Mar 18 17:18:54 2011 No.2732855 That multivariable calculus is 70% linear algebra

>>	Anonymous Fri Mar 18 17:21:54 2011 No.2732872 >>2732820 Why is it so hard to find a proof of this, though? It took me ages to track down a reasonable justification.

>>	Anonymous Fri Mar 18 17:32:54 2011 No.2732931 File: 52 KB, 684x566, intredasting.jpg [View same] [iqdb] [saucenao] [google] >>2732820 >mfw I don't understand any of the math jargon ITT and I only ended up here because of this image from the front page

>>	Anonymous Fri Mar 18 17:33:54 2011 No.2732943 File: 44 KB, 510x408, fedb6_Lebowskilimo.jpg [View same] [iqdb] [saucenao] [google] >proofs are programs

>>	Anonymous Fri Mar 18 17:39:54 2011 No.2732964 File: 24 KB, 364x500, 23186_Happy-Face--Moon-Face_620.jpg [View same] [iqdb] [saucenao] [google] my face when proof reals are not countable

>>	Anonymous Fri Mar 18 17:45:54 2011 No.2733000 File: 12 KB, 205x241, granpa smurf.jpg [View same] [iqdb] [saucenao] [google] mfw I know what x equals.

>>	Anonymous Fri Mar 18 17:46:54 2011 No.2733013 File: 60 KB, 317x628, 1299618506918.jpg [View same] [iqdb] [saucenao] [google] >SOH. >CAH. >TOA.

>>	Anonymous Fri Mar 18 17:47:54 2011 No.2733016 >>2733000 Give me 5 bees for a quarter they'd say

Anonymous Fri Mar 18 17:50:54 2011 No.2733033
File: 109 KB, 768x898, napoleon.jpg [View same] [iqdb] [saucenao] [google]

My face when I realised gravitational potential functions are shaped like the physical objects they represent.

I mean: the potential function of stuff on a mountain, is exactly shaped like the mountain itself.

It might seem trivial now, but at the time, it blowed my mind.

>>	Anonymous Fri Mar 18 17:55:54 2011 No.2733056 File: 33 KB, 566x557, 1300135615632.png [View same] [iqdb] [saucenao] [google] >>2733013 ...COMPLETELY REVOLUTIONIZED MY TRIG

>>	Anonymous Fri Mar 18 18:00:54 2011 No.2733083 File: 13 KB, 350x263, courage wolf toilet.jpg [View same] [iqdb] [saucenao] [google] >mfw cantor set it blew my mind to no end

>>	Anonymous Fri Mar 18 18:02:54 2011 No.2733092 >>2733013 PEMDAS here. Feels bad not getting basic shit, doesn't it?

>>	Anonymous Fri Mar 18 18:12:54 2011 No.2733138 File: 69 KB, 188x243, swagtastic.png [View same] [iqdb] [saucenao] [google] >>2733013 >playing WEWY >lose against that one boss >"SOH. CAH. toa~~~~~~~~~~"

>>	Anonymous Fri Mar 18 18:17:54 2011 No.2733168 File: 1.39 MB, 1000x2796, understand.jpg [View same] [iqdb] [saucenao] [google] >e and ln are finally explained

Anonymous Fri Mar 18 18:20:54 2011 No.2733189
File: 7 KB, 160x200, Legendre.jpg [View same] [iqdb] [saucenao] [google]

>read spivak's calculus
>learn nothing new but eyes are bulging from trying to understand the proofs he writes
>still suck at writing proofs and doing exercises

GOD WHY IS MATH SO REDUNDANT BALRHAGHAHRHGHRAG

>read abstract algebra text
>mfw

>>	Anonymous Fri Mar 18 18:22:54 2011 No.2733203 >>2733189 also this is why i'm doing algebraic combinatorics.

>>	Anonymous Fri Mar 18 18:22:54 2011 No.2733204 File: 584 KB, 740x740, vomit.jpg [View same] [iqdb] [saucenao] [google] >the entirety of Chemistry NYA I gave up at some point. It's all just so fucking incomprehensible to me

>>	Anonymous Fri Mar 18 21:25:54 2011 No.2734222 bump

>>	Anonymous Fri Mar 18 21:33:54 2011 No.2734270 the fuck is infinitely differentiable?

>>	Anonymous Fri Mar 18 21:34:54 2011 No.2734282 >>2732751 Let x=.99999 and 10x=9.9999 10x-x=9 9x=9 x=1

>>	Anonymous Fri Mar 18 21:36:54 2011 No.2734291 File: 51 KB, 324x456, einstein_bicycle.jpg [View same] [iqdb] [saucenao] [google] >Quadratic functions

>>	Anonymous Fri Mar 18 21:38:54 2011 No.2734301 >>2734282 Unstated assumption: That 1/9 = 0.111..., which is what you're attempting to prove. Problem?

>>	Anonymous Fri Mar 18 21:45:54 2011 No.2734339 >>2734282 Actually all that proves is 9 = 9 fail.

>>	Anonymous Fri Mar 18 21:47:54 2011 No.2734351 >>2734270 You can take derivatives an infinite number of times.

>>	Anonymous Fri Mar 18 21:49:54 2011 No.2734362 >>2734351 Okay that's what I thought... so why is it that they are infinitely differentiable? What's a function that isn't infinitely differentiable?

>>	Anonymous Fri Mar 18 21:49:54 2011 No.2734361 >>2734270 For any natural number n, the nth derivative of the function exists. >>2734351 NO. Fucking kill yourself.

>>	Anonymous Fri Mar 18 21:49:54 2011 No.2734356 File: 900 KB, 764x744, RAINBOWS WILL BLOW YOUR FACE OFF.jpg [View same] [iqdb] [saucenao] [google] mfw I figured out the limit process, delta-epsilon, etc

>>	Anonymous Fri Mar 18 21:50:54 2011 No.2734373 >>2734361 err wait what? you explain to me then :/ >>2734362

>>	Anonymous Fri Mar 18 21:52:54 2011 No.2734394 >>2734373 >>2734362 >>2734270 http://en.wikipedia.org/wiki/Smooth_function#Differentiability_classes

>>	Anonymous Fri Mar 18 21:53:54 2011 No.2734398 File: 30 KB, 675x1127, ZeroPointNine.png [View same] [iqdb] [saucenao] [google] IN CASE OF 0.999 ?= 1 TOPIC BREAK GLASS

>>	Anonymous Fri Mar 18 21:54:54 2011 No.2734406 in west Philadelphia born and raised...

>>	Anonymous Fri Mar 18 22:00:54 2011 No.2734442 >>2734398 well if you wanna play the smartass let's start out by define >1/9 = 0.111111... 9/9 = 1 = 0.999999... and see? i've done exactly what you have through a much shorter way, u mad?

>>	Anonymous Fri Mar 18 22:08:54 2011 No.2734478 >>2734442 >not rigorous >gtfo

>>	Anonymous Fri Mar 18 22:11:54 2011 No.2734496 File: 161 KB, 498x363, 1300336799573.jpg [View same] [iqdb] [saucenao] [google] >everything about quantum entanglement , interference, correlation

>>	Anonymous Fri Mar 18 22:15:54 2011 No.2734513 the formula for the circumference of a circle is just the derivative of the formula for the area of a circle with respect to radius

>>	Anonymous Fri Mar 18 22:17:54 2011 No.2734529 File: 43 KB, 564x298, mfw.jpg [View same] [iqdb] [saucenao] [google] >>2734513 I forgot the "mfw" picture

>>	Anonymous Fri Mar 18 22:20:54 2011 No.2734548 >>2734513 MEIN GOTT

>>	Anonymous Fri Mar 18 22:21:54 2011 No.2734556 >>2732733 >complex analysis >real mathematics there's a pun in there somewhere

>>	Anonymous Fri Mar 18 22:26:54 2011 No.2734582 >>2734548 >>2734529 >>2734513 and what about your guys' face when the surface area of a sphere is the derivative of the volume of a sphere? ^_^

>>	Anonymous Fri Mar 18 22:26:54 2011 No.2734586 >mfw full-grown adult, educated Americans can't properly do arithmetic. Here in civilized nations (not the US), we do our personal finances and taxes in reverse polish notation, SI units, and hexadecimal.

>>	Anonymous Fri Mar 18 22:28:54 2011 No.2734609 >>2734586 >SI units reasonable >reverse polish notation eh? >hexadecimal you gotta be fucking kidding me Where the hell do you live

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