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/sci/ - Science & Math


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4183301 No.4183301 [Reply] [Original]

Proof: <span class="math">e^{i\theta} = 1 \; \forall\theta [/spoiler]

Let <span class="math"> \alpha = e^{i\theta} \;
\alpha^{\frac{2\pi}{\theta}} = {e^{i\theta}}^{\frac{2\pi}{\theta}} = e^{2i\pi} = 1 [/spoiler]

Following:
<span class="math"> \alpha = {\alpha^{frac{2\pi}{\theta}}}^{\frac{\theta}{2\pi}} = 1^{\frac{theta}{2\pi}} = 1[/spoiler]

<span class="math">e^{i\theta} = 1 \; \forall \theta[/spoiler]

>> No.4183314

brb suicide

>> No.4183322

>>4183305

Try the following:

Proof: ---math--- e^{ i \theta } = 1\ \forall \ \theta ---/math---

---math--- \textup{Let} \alpha = e^{ i \theta } \alpha^{ \frac{2 \pi }{ \theta } }= {e^{i \theta}}^{ \frac{2 \pi }{ \theta} } = e^{2i \pi } = 1 ---/math---


Following:
---math--- \alpha = {{\alpha}^{\frac{2 \pi }{ \theta}}}^{\frac{ \theta }{2 \pi } } = 1^{ \frac{ \theta}{2 \pi } } = 1 ---/math---

---math--- e^{i \theta } = 1 \ \forall \ \theta ---/math---

>> No.4183328

1. install greasemonkey
2. download http://userscripts.org/scripts/show/114958
3. ???
4. less spam

>> No.4183329

You have alpha = 1, not exp(i*theta) = 1

Quite embarrassing really, the "frac" part as a power is nonsense.

And if you do prove that exp(i*theta) =1 for all theta, then any calculation you do is correct as it is based on that assumption.

Indeed you are not mad, you're stupid.

>> No.4183337

look:
<span class="math"> -1=e^{i \pi}=(e^{2i \pi})^{\frac{1}{2}}= 1^{\frac{1}{2}}= 1 [/spoiler]

>> No.4183340

>>4183329
<span class="math">\alpha = e^{i\theta} [\math]

Dumbshit[/spoiler]

>> No.4183343

So useful, especially for proof-reading jsMath... just make sure you remember that a fair amount of functions aren't supported on this board. It's an online LaTeX equation editor

http://www.codecogs.com/latex/eqneditor.php

>> No.4183349

-1 = (-1)^1 = (-1)^(2/2) = sqrt((-1)^2) = sqrt(1) = 1

>lol_i_troll_you.jpg

>> No.4183359

>>4183349
>not using jsMath.

I can't look at that

>> No.4183363

>>4183359
I have it disabled because I hate waiting for loading and processing.

>> No.4183367

>>4183337
>>4183349

You are violating mathematics. Stop. Grow up and learn past a few complex analysis tricks.

>> No.4183371

>>4183367
assburgers all over da place

>> No.4183370

>>4183359
>jsmath
>browser locks up when faggots post silly things

>> No.4183393 [DELETED] 

>>4183367
>complex analysis tricks.
lolno

>> No.4183424

>>4183393
>>4183349
>>4183337

Perhaps what is sad is you are posting nonsense on a mathematics board, when you could actually learn. Perhaps you have accepted that you are not good enough and must seek reactions from others on a few stupid statements?

They violate mathematics for the beauty it contains.

However they do tell me something - something that I have conjectured for years, the complex plane, rather the complex field, is unnatural or not natural to many - these statements of drivel make a mockery of arithmetic and analysis.

sqrt((-1)^2) does not equal 1, (sqrt(-1))^2 however, does equal -1.

And if you did want to troll people on mathematics, analysis is the worst place to ever do it due to its rigour; analysis leads into calculus so calculus is another bad place. Set theory is the best place due to how naive and undecided it is (axiom of choice, Godel's theorems, etc)

>> No.4183430
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4183430

>>4183424

>> No.4183438
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4183438

>>4183424

>> No.4183448

>>4183438
Protip: You should drop your gf, if you want to stay on /sci/.

>> No.4183458
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4183458

>>4183448

>> No.4183460

>>4183430
>>4183438

haha you fuckers got me why did i even try responding !!!

do something good!! why are you wasting your time here??

>> No.4183464

>>4183458
reported for gf. you do not belong here. enjoy your ban.

>> No.4183466

>>4183460
Well why do YOU waste your time here?

>> No.4183476

>>4183460
for the lulz.
Isn't that a good enough reason anymore these days?

>> No.4183523
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4183523

>>4183460
>anon trying to cover up his seemingly interesting counterpoint.
>mfw

>> No.4183576
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4183576

>>4183301
Lrn2proof