/sci/ - Science & Math » Thread #12761847

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Anonymous Sat 27 Feb 06:37:26 2021 No.12761847 View Reply Original Report

Quoted By: >>12761852 >>12761866 >>12762619

>just let $y^2=-1$ lel
Holy shit. The part where multiplications are spinnings suddenly make everything work. How could they come up with something so brilliant bros?

Anonymous

Anonymous Sat 27 Feb 2021 06:38:41 No.12761852 Report

Quoted By:

>>12761847
doesn't it come from euler's formula. the exponential is a wave m8

Anonymous

Anonymous Sat 27 Feb 2021 06:46:38 No.12761866 Report

Quoted By: >>12761873

>>12761847
draw a number line and put an O on 0.
now you have two direction for your vectors.
let multiplication donate the inner product.
now you have - * - = +
+ * + = +
- * + = -.
now repeat for 180 times with slight rotations to weaponize your autism.

Anonymous

Anonymous Sat 27 Feb 2021 06:49:01 No.12761873 Report

Quoted By:

>>12761866
another way to say this is
y = i
y^2= -1
y^3 = -i
y^4 = 1

Anonymous

Anonymous Sat 27 Feb 2021 12:23:19 No.12762619 Report

Quoted By:

>>12761847
Put the number in polar form. Now multiplication is just adding arguments and multiplying modules. So yeah, multipliying something by i is just adding pi/2 radians to the the argument of the number.

The reason we can write these numbers as polars is all thanks to our bros Gauss and Euler.

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