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# /sci/ - Science & Math

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 >> Anonymous Wed Nov 20 16:59:35 2019 No.11164160 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] Suppose $A$ is a closed subspace $C(S)$, where $S$ is a compact Hausdorff space; suppose $\mu$ is an extreme point of the unit ball of $A^{\perp}$; and suppose $f\in C(S)$ is a real function such that $\displaystyle \int_{S}gf d\mu =0$ for every $g\in A$. Prove that $f$ is constant on the support of $\mu$. Show, by an example, that the conclusion is false if the word "real" is omitted from the hypotheses.
 >> Anonymous Tue Sep 18 20:56:01 2018 No.10013822 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>10013815Definitions are not proof.Prove it.
 >> Anonymous Wed Jul 25 10:08:57 2018 No.9892075 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9889074If there exists a number close enough to infinity to be considered infinity, then there also exists a 0.999... value close enough to 1 to be considered 1.Pretty sure there isn't a number close to infinity though.
 >> Anonymous Sun May 27 22:00:48 2018 No.9772396 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9772059>do{>x+=1;>}while(x<10);>while(x<10){>x+=1;>}>DOing anything ever
 >> Anonymous Fri May 18 04:01:59 2018 No.9749573 [View] File: 7 KB, 420x420, 72hddd.png [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Fri May 11 05:48:41 2018 No.9733472 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9733467>0.888... + 0.111... = 1>8 + 1 = 9Choose one.
 >> Anonymous Tue May 8 06:54:26 2018 No.9726447 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9726436>dead ancient people can't be wrong.gr8 defense m8
 >> Anonymous Mon Apr 2 23:45:36 2018 No.9641466 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] How did they know there was no air in spaceHow did they know there was no air on the moonYou only need a scuba suit when you're underwater
 >> Anonymous Sat Mar 24 04:40:23 2018 No.9615514 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] Okay infininiggersIf you're so smart, solve this problem:Construct ∞ without invoking the words "infinity" or "infinite" or any related word or term derived from them, and you may also not use the symbol ∞ outside of your conclusion.Show all your work, be thorough.
 >> Anonymous Mon Mar 19 00:04:49 2018 No.9602584 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >translating gookanese into any non-garbage languagefuckin lies
 >> Anonymous Mon Mar 5 18:06:05 2018 No.9564370 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9564286Base 108/9 > 0.888...9/9 > 0.999...Base 119/a > 0.999...a/a > 0.aaa...Base 129/b > 0.999...$0.\bar{9}_{base10} < 0.\bar{a}_{base11} < 0.\bar{b}_{base12}$ Or $0.\bar{b}_{base10} = \mathbb{FUCK}$http://www.wolframalpha.com/input/?i=0.b...++to+base+10
 >> Anonymous Sun Feb 25 01:37:00 2018 No.9542761 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9542755Vector is not a space. Its a fucking word.
 >> Anonymous Sat Feb 24 04:14:50 2018 No.9540440 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >axiomWhat a fucking shitty buzzword.
 >> Anonymous Sun Feb 18 19:41:58 2018 No.9526909 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] You have 10 minutes to prove that melanin overdose doesn't cause brain damage.
 >> Anonymous Wed Feb 7 10:45:52 2018 No.9497369 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9497362The only infinite amount that will ever matter for you is the eternity of hell.
 >> Anonymous Sun Jan 28 22:18:26 2018 No.9469223 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9469201And they also have a finite fraction representation :^)$\frac{9}{10^n}$ is the same as $\frac{\big[ 9 \big]...}{1 \big[ 0 \big]...} = \frac{99...}{100...} = \frac{999...}{1000...} = \frac{9999...}{10000...} ...$ and so on. To evaluate the decimal number $0.\bar{9}$ is to simultaneously evaluate the fraction $\frac{\bar{9}}{1\bar{0}}$, where any finite test of countability in the 9's and 0's, even after an infinite amount of finite tests, will always produce a number $\frac{x}{y}$ where x < y and thus not equal to 1.
 >> Anonymous Tue Jan 9 14:58:31 2018 No.9425647   [View] File: 7 KB, 420x420, 1508466066340.png [View same] [iqdb] [saucenao] [google] [report] >read textbook a head of time before classes start>help brainlets who are confused whit the lectures>"Wow anon! You must be a Senior"
 >> Anonymous Wed Dec 27 23:41:23 2017 No.9397957 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9397947$\frac{JewsKilledJesus}{JesusWasSemitic} \approx JewsAreAntisemites$
 >> Anonymous Wed Dec 27 03:28:29 2017 No.9396102   [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] $\infty$ is not a number$n \rightarrow \infty$ cannot evaluate to a finite answer in finite time$0.\bar{9} < 1.0$ $0 \neq 0.\bar{0}1 \ngeq 0.\bar{1}_{base2} \ngeq 0.\bar{9}_{base10} \ngeq 0.\bar{F}_{base16} \neq 1.0$$N \geq 2 \rightarrow \infty; (0.\overline{N-1}_{baseN} < 0.\overline{N}_{base(N+1)})$$X = \sum{N/3=1}^{/infty} 0.(\frac{N}{3})_{baseN} × 3_{base10} = 1.0 \neq 0.\bar{9}$$0.\overline{N-1}_{baseN} =$ NaN
 >> Anonymous Wed Dec 27 03:24:10 2017 No.9396099   [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] $\infty$ is not a number$n \rightarrow \infty$ cannot evaluate to a finite answer in finite time$0.\bar{9} < 1.0$ $0 \neq 0.\bar{0}1 \ngeq 0.\bar{1}_{base2} \ngeq 0.\bar{9}_{base10} \ngeq 0.\bar{F}_{base16} \neq 1.0$$N \geq 2 \rightarrow \infty; (0.\overline{N-1}_{baseN} < 0.\overline{N}_{base(N+1)})$$X = \sum{N%3=0}^{/infty} 0.(\frac{N}{3})_{baseN} × 3_{base10} = 1.0 \neq 0.\bar{9}$$0.\overline{N-1}_{baseN} =$ NaN
 >> Anonymous Sat Dec 23 22:14:11 2017 No.9389653 [View] File: 7 KB, 420x420, 72hddd.png [View same] [iqdb] [saucenao] [google] [report] >>9389647>racial egalitarian "skeptic" makes cringe-tier jokes after getting btfoI'm almost positive you wear a fedora.
 >> Anonymous Fri Dec 22 21:14:12 2017 No.9387545 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9387540If a tree falls in a forest and nothing is around to hear it, does it make a sound?
 >> Anonymous Wed Dec 20 18:05:42 2017 No.9382667 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9379624Cause you are retarded.
 >> Anonymous Sat Dec 16 03:22:29 2017 No.9371554 [View] File: 7 KB, 420x420, b36.png [View same] [iqdb] [saucenao] [google] [report] >>9371549The winner decides the course of history.

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