camera iphone 8 plus apk On the Sign of the Imaginary Unit (i)

The imaginary unit (i) and the negative imaginary unit (-i) are the same creature in different costumes.

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5:40 - Algebraically Indistinguishable

Let F be a field, and let K be a field extension of F. We say that x and y are algebraically indistinguishable in F if there is a field-automorphism f on K (think of this as a function that "jumbles around" the elements of K while preserving the field structure of K) such that f(x) = y, and for all z in F, f(z) = z.

IE, this jumbling map brings x to y (the indistinguishables) while simultaneously not touching anything in F at all. i and -i are indistinguishable to R as follows: in the complex numbers, we have the field-automorphism of complex-conjugation (a+bi gets sent to a-bi). This automorphism sends -i to i, but does nothing to real numbers.

Music:
All That Jazz - Blue Wednesday
https://www.youtube.com/watch?v=6WuRU...

K. Lumsy - Donkey Kong 64
Composer: Grant Kirkhope

"Fireside"
Instrumental by Homage
https://www.youtube.com/user/homage253

Outro by Superstaar Beats

camera iphone 8 plus apk On the Sign of the Imaginary Unit (i)
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Education	Upload TimePublished on 5 Mar 2019

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