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Apr
20
answered differential equations for continiuos markov processes
Apr
20
revised Marginal stability and centers of nonlinear dynamical systems
added 20 characters in body; edited title
Apr
20
revised Marginal stability and centers of nonlinear dynamical systems
deleted 18 characters in body
Apr
20
comment Prove that $\sqrt{n} > \ln n$
Right, once one knows that $f(4)\gt0$, the part "For n=1,2 and 3, compute" is not needed.
Apr
20
comment differential equations for continiuos markov processes
There is a minus sign because $P'_{i,i}(s)=\mu_iP_{i,i}(s)$ DOES NOT HOLD, actually $P'_{i,i}(s)=\mu_{i+1}P_{i,i+1}(s)-\mu_iP_{i,i}(s)=-\mu_iP_{i,i}(s)$ (but I do not know what leads you to this erroneous dynamics).
Apr
20
comment $C^{-1} (1+|x|^{2})^{\frac{s}{2}} \leq (1+|x|)^{\frac{s}{2}} \leq C (1+|x|^{2})^{\frac{s}{2}}$?
Did you try to read the comments to the main question?
Apr
20
comment differential equations for continiuos markov processes
Right. The next mistake is $P'_{i,j+1}(s)$ in the second equation. As I said, you might want to revise thoroughly the full text of your question.
Apr
20
comment $C^{-1} (1+|x|^{2})^{\frac{s}{2}} \leq (1+|x|)^{\frac{s}{2}} \leq C (1+|x|^{2})^{\frac{s}{2}}$?
(complex-analysis) is not for "analysis deemed complicated".
Apr
20
comment $C^{-1} (1+|x|^{2})^{\frac{s}{2}} \leq (1+|x|)^{\frac{s}{2}} \leq C (1+|x|^{2})^{\frac{s}{2}}$?
Then the answer is "yes" since $1+u^2\leqslant(1+u)^2\leqslant2(1+u^2)$ for every nonnegative $u$.
Apr
20
revised Marginal stability and centers of nonlinear dynamical systems
added 96 characters in body
Apr
20
answered Why does $\int_1^\infty\frac{\sin^2(x)}{x}\mathrm d x$ diverge?
Apr
20
revised Bounding second moment of entropy
added 73 characters in body
Apr
20
revised Bounding second moment of entropy
deleted 43 characters in body
Apr
20
revised Average of IID Cauchy RVs
added 7 characters in body
Apr
20
comment A fascinating number chain.
Meaning you checked every $10x+y$ with $x\ne y$ ended in the cycle (45, 46, 48, 52, 49, 54, 53, 51, 47, 50)?
Apr
20
revised Branching processes extinction (homework)
edited title
Apr
20
answered Branching processes extinction (homework)
Apr
20
comment A fascinating number chain.
Satvik: What is your source?
Apr
20
answered Bounding second moment of entropy
Apr
20
comment Show that $\sum\limits^{\infty}_{n=1} (-1)^n \frac {x^2+n} {n^2}$, $x \in \mathbb R$, converges uniformly on every bounded interval
See Edit. $ $ $ $