### Questions (57)

 17 Proving $(λ^d + (1-λ^d)e^{(d-1)s})^{\frac{1}{1-d}}\leq\sum\limits_{n=0}^\infty\frac1{n!}λ^{\frac{(d^n-1)d}{d-1}+n}s^ne^{-λs}$ 5 Find the set of numbers for which some sum over permutations is independent of the initial value 5 (Dis)Prove that the sum is positive 5 Uniform convergence from pointwise convergence for uniform Lipshitz functions 4 Show that $\sum\limits_{k=1}^{n-1} (n-k) x^k$ is non-decreasing for $x \in ]-1,1[$.

### Reputation (1,059)

 +10 Formulation for IP of large OR statement which gives a good linear relaxation +10 Alternative representation for $B_{n,k}(1!,\dots,(n-k+1)!)$ -2 How do I find $\liminf$ and $\limsup$ if $a_{2n}=\frac {a_{2n-1}}2$ and $a_{2n+1}=\frac12+\frac {a_{2n}}2$? +10 (dis)prove:$\sup_{F \in 2^{(L^1(S,\mathbb{R}))}}\limsup\sup_{f\in F}|\int f dP_n-\int fdP|=\limsup\sup_{f\in L^1(S,\mathbb{R})}|\int fdP_n-\int fdP|$

 5 Why is 0.3 to power of 2 0.09 and not 0.9? 1 Analysis Proof By Contradiction. 1 What is exactly $\int X_t\mathrm d B_t$? 1 Problem in an example to Radon-Nikodym theorem. 0 Asymptotic expansion of the hypergeometric function

### Tags (87)

 5 decimal-expansion 1 stochastic-integrals × 2 5 exponentiation 1 measure-theory × 2 1 probability-theory × 16 1 proof-verification 1 real-analysis × 15 1 analysis 1 stochastic-calculus × 3 0 ordinary-differential-equations × 11