About the Rules & Moderation category

Announcements Rules & Moderation
#2462

IMG_4306
IMG_4306750×189 57.4 KB

This

#2463

COMPLEX ANALYSIS POSTING?? :flushed:
or is complex variables =/= complex analysis

#2464

i have never seen anyone use a capital l for natural log. just use ln like everyone else

1 Like
#2465

Principal branch is the key word here - log/ln is also the natural logarithm. In this class, I’m told, log and ln and Log are all different (natural) logarithmic

#2466

Ummmm idk

#2467

same
and “Log” as “ln” just makes it easier to mix it up so idk why anyone would use that notation

#2468

ohhh. complex shit

#2469

oh

image
image1177×468 45.6 KB

complex stuff apparently

#2470
  • Log stands for complex logarithm in its principal branch . The principal branch has its imaginary part in the interval (−π,π]. (Basically it’s the inverse of the complex exponential function with its imaginary part in that interval.)
#2471

we’re doing complex stuff in advanced linalg but it’s basically just “here’s the linalg you know and love and there just happens to be complex numbers here.” next semester i’ll see what complex has in store

#2472

I have never (meaningfully) used complex numbers :pensive:

#2473

there was also some. minor complex number stuff in number theory but it was obviously pretty discrete. “how does this affect the natural numbers”

#2474

Apparently the course covers:

Taylor and Laurent series, analytic functions, harmonic functions, Riemann surfaces, residues, complex integration, conformal mapping, and Laplace transforms.

There used to be an actual graduate level complex analysis course but it got exploded badly

#2475

also there’s some very slight complex near the end of a 2 semester algebra sequence because it turns out complex numbers make for a good example in galois theory

#2476

Every time somebody talks about complex numbers I feel like there’s just like a gaping hole in my understanding. I know all the basic stuff I need to by this point in formal mathematical education but none beyond that. Well I feel significantly less behind now because I heard people talk about them enough that I picked up some stuff. But still not great

1 Like
#2477
1 Like
#2478

Putitng…

1 Like
#2479

the basics of complex numbers are not super hard to pick up

1 Like
#2480

nyaaaaaaaaa I can’t say I’ve talked to people about complex numbers much thbthbthtbthb

#2481

i periodically forget and relearn them every time they come up