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  • 0 posts edited
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  • 36 votes cast
Apr
8
comment what's the difference between a rational number and an irrational number?
@gideon Well thanks, especially since this caused me to look back at the answer and correct an error.
Mar
7
comment Complex distributions - what are the appropriate test functions?
@StephenMontgomery-Smith I wouldn't be surprised in the least, but I'd prefer to defer final judgement until I can be a bit more certain there's a mistake. Perhaps someone more familiar with CFT will someday have something definitive to say about this.
Mar
7
comment Complex distributions - what are the appropriate test functions?
@StephenMontgomery-Smith Yeah I'm strongly inclined to agree -- I have never heard of analytic test functions either. Nonetheless, the calculation I wrote down appears in at least the most well-known, standard conformal field theory text, so I'd like to make sense of it somehow.
Feb
20
comment Proving that a family of functions limits to the Dirac delta.
+1: This is great, thank you. I'm still hoping, however, that someone will be able to tell me how to make the approach that uses complex analysis work as a matter of interest.
Nov
19
comment Pure Point Spectrum implies Spanning Eigenfunctions
I think this would more appropriately be asked on math.SE.
Nov
2
comment Gradient of a function with base vectors
Isn't this more appropriate for math.SE?
Oct
19
comment What is the dimension of the vector space of functions $f:\mathbb R\to\mathbb R$?
Wonderful! Thanks Asaf.
Oct
19
comment What is the dimension of the vector space of functions $f:\mathbb R\to\mathbb R$?
Wow ok $2^{2^{\aleph_0}}$ it is then. Pretty monstrous (to a non-set-theory aficionado at least). That's a very nice last equation you wrote. Does it have a special name? Where in standard books would I find such wonderful gems?
Sep
27
comment How are eigenvectors/eigenvalues and differential equations connected?
Great answer btw. Would you happen to know of any good references that treat ODEs heavily using linear-algebraic language as in this answer? In particular, a text which discusses Jordan normal form in this context as you allude to would be useful. I'll be teaching a math methods for physics class, and I'd find such a reference very useful.
Sep
23
comment How are eigenvectors/eigenvalues and differential equations connected?
Shouldn't $e^{\lambda y}$ read something like $e^{\lambda t}$ instead?
Sep
4
comment How to calculate this functional derivative?
@Trimok Thanks; edited.
Aug
3
comment What is the probability of being in a “run” of length $k$?
Thanks. This agrees with the expression I wrote it seems since $\sum_j j 2^{-j} = 2$.
Jun
28
comment Special conformal killing fields - solving for integral curves.
@HansLundmark Very slick; thanks.
Jun
28
comment Special conformal killing fields - solving for integral curves.
@Kirill I found where I went wrong; I hadn't originally simply directly computed $\dot y$, so I had obtained the identity $y\cdot(\dot y + b)$ which is of course still true but not what we want. I hope you don't mind if I post my own answer as well and perhaps accept it since it's a bit simpler? Thanks so much for your help!
Jun
28
comment Special conformal killing fields - solving for integral curves.
@Kirill I probably made an error, let me check my algebra.
Jun
28
comment Special conformal killing fields - solving for integral curves.
@Kirill Agreed, but how does one solve the equation at the end for $x$?
Jun
28
comment Special conformal killing fields - solving for integral curves.
Wow, bravo for all this effort. The crazy thing is that I saw this exactly at the same time that I think I've almost figured out a really tricky way to do this. See my edit to the question (the Progress! section) I'll read through this as well. Thanks again.
Jun
4
comment Big O notation for complex-valued functions of a real variable
@TedShifrin Thank you.
Mar
28
comment What extra assumption makes this transformation affine?
@Rahul Ok thanks for the insight.
Mar
28
comment What extra assumption makes this transformation affine?
@Rahul Ah thanks! Does one need to restrict the field over which $V$ is defined?