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/sci/ - Science & Math


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4183223 No.4183223 [Reply] [Original]

Proof: <span class="math">e^(i\theta) = 1 for \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.4183230

lrn to { faggot

>> No.4183248

>>4183230
Charming. Why so hostile?

>> No.4183252 [DELETED] 

this is the most unreadable latex i've ever seen in my days

>> No.4183256
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4183256

>mfw it's better readable with jsmath disabled

>> No.4183303

Not OP, but I thought I'd help.

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

<span class="math"> \textup{Let} \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.4183304

i am 12 and what is this

>> No.4183305

Not OP, but I thought I'd help.

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]