/sci/ - Science & Math » Thread #12840737

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Anonymous Tue 16 Mar 13:07:37 2021 No.12840737 View Reply Original Report

Quoted By: >>12840760 >>12840784

>tfw linear operators on real vector spaces need not have any eigenvalues.

Anonymous

Anonymous Tue 16 Mar 2021 13:09:50 No.12840745 Report

Quoted By: >>12840750

Are you also bothered at how polynomials with real coefficients need not have real solutions?

Anonymous

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Anonymous Tue 16 Mar 2021 13:11:09 No.12840750 Report

Quoted By: >>12841342

>>12840745

Anonymous

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Anonymous Tue 16 Mar 2021 13:14:49 No.12840760 Report

Quoted By: >>12841408

>>12840737
>tfw all observables in quantum mechanics are Hermitian, which guarantees that the eigenvalues are real

Anonymous

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Anonymous Tue 16 Mar 2021 13:15:58 No.12840764 Report

Quoted By: >>12840815

>mfw a set is both open and closed

Anonymous

Anonymous Tue 16 Mar 2021 13:21:41 No.12840784 Report

Quoted By: >>12840794

>>12840737
tfw complex eigenvalues have easy geometric interpretation

Anonymous

Anonymous Tue 16 Mar 2021 13:23:23 No.12840794 Report

Quoted By: >>12840833

>>12840784
that being?

Anonymous

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Anonymous Tue 16 Mar 2021 13:27:32 No.12840815 Report

Quoted By:

>>12840764
>clopen

Anonymous

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Anonymous Tue 16 Mar 2021 13:30:38 No.12840832 Report

Quoted By:

>tfw nonzero operators on complex vector spaces may only have eigenvalue 0

Anonymous

Anonymous Tue 16 Mar 2021 13:31:07 No.12840833 Report

Quoted By: >>12841359

>>12840794
invariant subspace is 2-dimensional and the transformation acts there by rotation and (non-uniform) scaling

Anonymous

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Anonymous Tue 16 Mar 2021 13:40:42 No.12840882 Report

Quoted By: >>12840886

>finite volume
>infinite surface

Anonymous

Anonymous Tue 16 Mar 2021 13:41:33 No.12840886 Report

Quoted By:

>>12840882
Stokes BTFO'd

Anonymous

Anonymous Tue 16 Mar 2021 15:56:10 No.12841342 Report

Quoted By:

>>12840750
hahahaha x^2 + 1 get fucked

Anonymous

Anonymous Tue 16 Mar 2021 16:01:53 No.12841359 Report

Quoted By:

>>12840833
Cool. I always liked how every time complex numbers get introduced, there is some notion of rotation or oscillating going on.

Anonymous

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Anonymous Tue 16 Mar 2021 16:14:19 No.12841408 Report

Quoted By:

>>12840760

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