joshphysics
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 Dec 8 awarded Caucus 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 20 revised Big O notation for complex-valued functions of a real variable edited body Oct 19 comment What is the dimension of the vector space of functions $f:\mathbb R\to\mathbb R$? Wonderful! Thanks Asaf. Oct 19 accepted What is the dimension of the vector space of functions $f:\mathbb R\to\mathbb R$? 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? Oct 19 asked What is the dimension of the vector space of functions $f:\mathbb R\to\mathbb R$? 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 10 awarded Revival Sep 4 comment How to calculate this functional derivative? @Trimok Thanks; edited. Sep 4 answered How to calculate this functional derivative? 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 $\sum_j j 2^{-j} = 2$. Aug 3 accepted What is the probability of being in a “run” of length $k$? Aug 2 asked What is the probability of being in a “run” of length $k$? Jul 18 accepted Limit of a sequence of determinants. Jul 2 awarded Curious Jun 29 revised Special conformal killing fields - solving for integral curves. deleted 28 characters in body Jun 28 revised Special conformal killing fields - solving for integral curves. deleted 11 characters in body