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Mar
6
comment Piecing together full density subsequences
Perfect, thank you! My attempts were along similar lines, but I missed the trick of working with complements (and the consequently logical choice for our $N_k$).
Mar
6
accepted Piecing together full density subsequences
Mar
6
asked Piecing together full density subsequences
Mar
3
awarded  Nice Answer
Jan
8
awarded  Tumbleweed
Jan
1
asked The heat kernel as the fundamental solution of the heat equation
Oct
9
awarded  Yearling
Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
Apr
15
comment Regularity of Dirichlet Eigenvalues on Lipschitz Domain
At least interior $C^2$ and continuous up to boundary. My problem only has a piecewise smooth boundary though (but the corners are not too bad, so the domain is still Lipschitz).
Apr
15
comment Regularity of Dirichlet Eigenvalues on Lipschitz Domain
Thanks for the reference, this book should be quite useful in general. It seems the Dirichlet regularity result in this section assumes at least a $\mathcal{C}^2$ boundary though.
Apr
15
asked Regularity of Dirichlet Eigenvalues on Lipschitz Domain
Feb
18
comment show that $f$ is not integrable on $[0,1]$
It is equal to cos a.e., not sin. And it is discontinuous at every point in the interval, not just the rationals. ie it is not Riemann integrable.
Feb
18
comment What is wrong with this equations?
(5-5) and (x-y) are both zero.
Feb
10
answered Showing that the square root is monotone
Jan
7
comment How to prove the inequality: $\frac{(1+x)^2}{2x^2+(1-x)^2}+\frac{(1+y)^2}{2y^2+(1-y)^2}+\frac{(1+z)^2}{2z^2+(1-z)^2}\leq 8$
Thanks. Out of interest, where did the motivation for looking at: $(4a+1)(a-1/3)^2$ come from?
Jan
7
accepted How to prove the inequality: $\frac{(1+x)^2}{2x^2+(1-x)^2}+\frac{(1+y)^2}{2y^2+(1-y)^2}+\frac{(1+z)^2}{2z^2+(1-z)^2}\leq 8$
Jan
7
revised How to prove the inequality: $\frac{(1+x)^2}{2x^2+(1-x)^2}+\frac{(1+y)^2}{2y^2+(1-y)^2}+\frac{(1+z)^2}{2z^2+(1-z)^2}\leq 8$
edited body; edited title
Jan
7
asked How to prove the inequality: $\frac{(1+x)^2}{2x^2+(1-x)^2}+\frac{(1+y)^2}{2y^2+(1-y)^2}+\frac{(1+z)^2}{2z^2+(1-z)^2}\leq 8$
Nov
28
revised restriction of functions of several variables
added 1 characters in body