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Mistah Figgins
Mistah Figgins
03:35
@flawr Cool!
 
5 hours later…
DLosc
DLosc
08:47
Reality is weird (especially science and math): tvtropes.org/pmwiki/pmwiki.php/MindScrew/Other (warning: TVTropes)
 
5 hours later…
El'endia Starman
El'endia Starman
14:05
@DLosc I like how many examples are math-based. :D
 
6 hours later…
Riker
Riker
20:26
@flawr ELI5 conjugate transpose?
flawr
flawr
Do you understand the transpose?
Riker
Riker
yes
flawr
flawr
The conjugate in the conjugation of complex numbers.
Riker
Riker
wait why would you cnojugate though
flawr
flawr
And usually when you transpose matrices in the reals, the corresponding natural operation over complex matrices is the conjugate transpose
(If you apply the conjugate transpose to a real matrix it is just the transposed)
Riker
Riker
20:29
oh, makes sense
flawr
flawr
This has to do with scalar products and norms
Riker
Riker
ah
why would you conjugate matrices though?
flawr
flawr
The idea is that if you have a scalar product, you can construct a norm out of that:
norm(u) := sqrt(scalarprod(u,u))
Riker
Riker
ah
flawr
flawr
But if you have complex numbers, you still want the norm to be a positive number.
Riker
Riker
20:30
ah
flawr
flawr
So you need norm(u)^2 := scalarprod(u, conj(u))
Riker
Riker
btw, is u standard for that?
i.e. x and y are standard variables for most linear equations
is u standard for matrices?
flawr
flawr
Ah no we usually use u,v,w for vectors.
Riker
Riker
ah, and then z for complex?
and abc are generally quadratics iirc but I may be wrong
flawr
flawr
Well it always depends on the context :)
Usually there are too few characters anyway, that is why we use the greek alphabet / script symbols / hats /tildas e.t.c
Riker
Riker
20:32
true
hats and tildes are cool
flawr
flawr
fun fact: In german we don't say x-tilde but x-Schlange (x-snake)
Riker
Riker
lol
ATaco
ATaco
21:14
I highly recommend using ChatJax if you want to write LaTeX here.

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