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Connor
  • Member for 10 years
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15 votes
3 answers
2k views

A set with measure $0$ has a translate containing no rational number.

10 votes
2 answers
2k views

How can we show binomial function is convex without calculus?

10 votes
1 answer
2k views

How to prove or is there any reference to "integration-by-parts" formula for difference quotients?

6 votes
2 answers
1k views

A equivalent condtion for existence of feasible circulation

6 votes
2 answers
458 views

Is there a good upper bound for $(x-1)^n-x^n$ for $x\ge 1$ and $n=2,3,4,...$?

6 votes
4 answers
2k views

Sum of alternating series is non-zero?

6 votes
1 answer
197 views

A proof that Sperner's Lemma implies KKM?

5 votes
2 answers
84 views

Why every $(n-2)\times(n-2)$-submatrix of this $(n-2)\times n$ matrix has full rank?

5 votes
2 answers
354 views

Is there any formula for this sum of power of positive integers? [duplicate]

5 votes
1 answer
129 views

What is the relation between cohomology of $K(\mathbf{Z}_2, n)$ and $K(\mathbf{Z}_2, n+1)$?

4 votes
2 answers
138 views

What's the $\lim_{m\to\infty}\prod_{k=1}^m (1-e^{-kn})$?

4 votes
2 answers
202 views

At most how many common arithmetic progressions passing through 2 numbers in $\mathbb{Z}_p$?

4 votes
2 answers
276 views

A question about expectation of chromatic number

4 votes
1 answer
209 views

Number of k-APs in Z/NZ?

4 votes
0 answers
119 views

Is the boundary of a $k$-simplex missing some $(k-1)$-faces contractible?

3 votes
1 answer
97 views

Better estimate on binomial coefficient $\binom{n}{k}$ when $k=(1-o(1))n$?

3 votes
1 answer
239 views

An equivalent condition of 0 is in the convex hull of a set of vectors

3 votes
1 answer
139 views

An "almost" branching process

3 votes
4 answers
175 views

Why $\frac{(1-x)\log(1-x)}{x\log x}$ is increasing on (0, 1)?

3 votes
2 answers
216 views

For $0\le m\le M$, let $p$ satisfy $\left(1-\frac1M\right)^m(1-p)=\frac1e-\frac1M$. Why is it that $p=O\left(\frac{M-m}{M}\right)$?

3 votes
0 answers
43 views

Notation for collection of ordered $k$-sets with distinct elements?

3 votes
1 answer
74 views

Any formula for $\sum_{k=0}^{n} e^{(kt)^m}$?

3 votes
1 answer
206 views

Question about application of dominated convergence theorem to random variables.

3 votes
2 answers
5k views

Lower bound of $1-x$ involving exponential when $x$ is very small?

3 votes
0 answers
51 views

Maximum number of edges on $2^{k-1}+s$ vertices of a $k$-dimensional cube?

3 votes
2 answers
108 views

How to compute $\int_{\frac{1-p}{2}}^{\frac{1+p}{2}}x^k(1-x)^kdx$?

3 votes
1 answer
88 views

When will $f(i):=\binom{2k-1}{i}\Big((1-p)^i(1+p)^{2k-1-i}-(1+p)^i(1-p)^{2k-1-i} \Big)$ attain maximum?

3 votes
1 answer
141 views

Relation between cohomology of Eilenberg- MacLane space and product of projective space

3 votes
0 answers
38 views

Compute $\lim_{k\to\infty}E[T_k]$ of this CTMC.

3 votes
0 answers
47 views

Why this integral $\int_0^te^{41s^2+40s}ds$ is bounded by $\frac{e^{41t^2+40t}}{t}$?

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