386
you are viewing a single comment's thread
view the rest of the comments
[-] ornery_chemist@mander.xyz 35 points 2 days ago

Isn't the squaring actually multiplication by the complex conjugate when working in the complex plane? i.e., √((1 - 0 i) (1 + 0 i) + (0 - i) (0 + i)) = √(1 + - i^2^) = √(1 + 1) = √2. I could be totally off base here and could be confusing with something else...

[-] HexesofVexes@lemmy.world 1 points 9 hours ago* (last edited 9 hours ago)

Almost:

Lengths are usually reals, and in this case the diagram suggests we can assume that A is the origin wlog (and the sides are badly drawn vectors without a direction)

Next we convert the vectors into lengths using the abs function (root of conjugate multiplication). This gives us lengths of 1 for both.

Finally, we can just use a Euclidean metric to get our other length √2.

Squaring isn't multiplication by complex conjugate, that's just mapping a vector to a scalar (the complex | x | function).

[-] diaphanous@feddit.org 16 points 2 days ago

I think you're thinking of taking the absolute value squared, |z|^2 = z z*

[-] candybrie@lemmy.world 6 points 1 day ago

Considering we're trying to find lengths, shouldn't we be doing absolute value squared?

this post was submitted on 30 Oct 2024
386 points (97.3% liked)

Science Memes

10827 readers
2421 users here now

Welcome to c/science_memes @ Mander.xyz!

A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.



Rules

  1. Don't throw mud. Behave like an intellectual and remember the human.
  2. Keep it rooted (on topic).
  3. No spam.
  4. Infographics welcome, get schooled.


Research Committee

Other Mander Communities

Science and Research

Biology and Life Sciences

Physical Sciences

Humanities and Social Sciences

Practical and Applied Sciences

Memes

Miscellaneous

founded 2 years ago
MODERATORS