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Apr
26
comment Lyapunov exponents of Lorenz63 and Lorenz96 system
The positive Lyapunov exponent of Lorenz-63 is at least $2^{1/29}$, see section 4 of dx.doi.org/10.1016/S0764-4442(99)80439-X -- PDF at www2.math.uu.se/~warwick/main/papers/comptes.pdf
Apr
21
comment Languages beyond enumerable
In between algebraic and computable reals, we might insert periods: en.wikipedia.org/wiki/…
Apr
21
comment Are some numbers more irrational than others?
In between algebraic and computable reals, we might insert periods: en.wikipedia.org/wiki/…
Apr
19
comment What are the central points of a semi-nice region in the plane?
@RobertIsrael- My casual physical intuition led me to (essentially) expect the minima to be always determined by the most rapidly decaying eigencomponent. But I certainly doubt that now in light of your comment. On the other hand, perhaps a short-time limit would work here.
Apr
18
revised What are the central points of a semi-nice region in the plane?
added 3 characters in body
Apr
18
comment What are the central points of a semi-nice region in the plane?
@IlyaBogdanov- Either of the two methods I propose (eroding from the boundary or using the heat equation) would isolate a central circle lying entirely within the annulus.
Apr
18
asked What are the central points of a semi-nice region in the plane?
Apr
14
comment Conjugacy classes of $SL_2(Z)$
sciencedirect.com/science/article/pii/002437959190112A ams.org/journals/tran/1997-349-04/S0002-9947-97-01895-3/…
Apr
6
comment Famous results about the value of a given limit assuming it exists
See section 2 of cs.toronto.edu/~yuvalf/CLT.pdf (also perhaps books.google.com/books?id=Q4XzBwAAQBAJ as mentioned in section 10 of the PDF), from which I quote: "the real content of the central limit theorem is that convergence does take place. The exact form of the basin of attraction is deducible beforehand - the only question is whether summing up lots of independent variables and normalizing them accordingly would get us closer and closer to the only possible limit, a normal distribution with the limiting mean and variance."
Mar
30
comment Is the Mendeleev table explained in quantum mechanics?
pnas.org/content/97/1/28.full
Mar
19
comment Applications of algebraic geometry to machine learning
books.google.com/books/about/…
Mar
19
comment Unexpected Occurences of the Sierpinski Triangle
Seemed to me like it's on almost every page of Wolfram's book
Mar
18
comment Algorithm to calculate moments of uniform distribution on convex polyhedra
math.ucdavis.edu/~latte
Mar
16
comment Constructing a polygon of $n$ facets from a set of positive values representing the length of the facets
As an aside, projecteuclid.org/euclid.jdg/1214457034 discusses the relevant moduli space
Mar
12
comment Can I derive the Boltzmann distribution by an invariance argument?
@DanPiponi -fixed.
Mar
12
revised Can I derive the Boltzmann distribution by an invariance argument?
Fixed dead link
Mar
10
accepted Generalizing series-parallel digraphs with feedback
Mar
9
asked Generalizing series-parallel digraphs with feedback
Feb
26
answered Applications of the Cayley-Hamilton theorem
Feb
24
comment Concrete examples of ODEs/PDEs arising in proofs in Complexity Theory and other subfields of CS
The graph Laplacian is one construct that bridges computer science and differential equations in a way that might be unexpected...until one realizes why it's a Laplacian