/sci/ - Science & Math » Thread #14184850

34KiB, 960x720, The+Exponential+Form+of+a+Complex+Number.jpg

View Same Google iqdb SauceNAO

Anonymous Fri 04 Feb 07:07:35 2022 No.14184850 View Reply Original Report

Quoted By: >>14184858 >>14184886 >>14184890

>every complex number is le exponential
you literally cannot make this shit up

Anonymous

Anonymous Fri 04 Feb 2022 07:10:23 No.14184858 Report

Quoted By:

>>14184850
>you literally cannot make this shit up
Oh, but (((they))) did.

Anonymous

Anonymous Fri 04 Feb 2022 07:16:32 No.14184866 Report

Quoted By: >>14184894

Wow, it's another episode of "highschooler just learns something and decides to shitpost about it on /sci/ with other highschoolers".

Anonymous

Anonymous Fri 04 Feb 2022 07:25:48 No.14184886 Report

Quoted By: >>14184906 >>14184949

>>14184850
$\displaystyle f(x) = e^{-ix}(\cos x + i \sin x) \\ f^{\prime}(x) = e^{-i x}(i \cos x - \sin x) - i e^{-i x}(\cos x + i \sin x) \\ f^{\prime}(x) = e^{-i x}(i \cos x - \sin x) - e^{-i x}(i \cos x + i^2 \sin x) \equiv 0 \\ f^{\prime}(x) = 0 \;\;\; \forall \; x \in \mathbb{R}\Rightarrow f(x) \text{ is a constant} \\ f(0) = e^{0}(\cos 0 + i \sin 0) = 1 \cdot(1+0) = 1 \Rightarrow f(x) = 1 \;\;\; \forall \; x \in \mathbb{R} \\ \\ 1 = e^{-ix}(\cos x + i \sin x) \Rightarrow e^{ix}=\cos x + i \sin x \;\;\; \forall \; x \in \mathbb{R} $

Anonymous

Anonymous Fri 04 Feb 2022 07:26:43 No.14184890 Report

Quoted By:

>>14184850
when you use them to model spinny things it's pretty much OP

Anonymous

Anonymous Fri 04 Feb 2022 07:27:29 No.14184894 Report

Quoted By: >>14184934

>>14184866
only tenure professors can post in sci

Anonymous

Anonymous Fri 04 Feb 2022 07:31:44 No.14184900 Report

Quoted By:

Anonymous

Anonymous Fri 04 Feb 2022 07:33:21 No.14184906 Report

Quoted By:

>>14184886
I like this proof

Anonymous

Anonymous Fri 04 Feb 2022 07:51:49 No.14184934 Report

Quoted By:

>>14184894
I wish, but we're probably the only two here.

Anonymous

Anonymous Fri 04 Feb 2022 08:00:05 No.14184949 Report

Quoted By:

>>14184886
good

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches