Question

Large graph connectivity implies both many and few edges?

score 29 · Answer 1 · 2026-04-15 22:49:29

29

Views

Large graph connectivity implies both many and few edges?

Published on 15 Apr 2026 - 22:49

score 224 · Answer 2 · 2026-04-28 20:21:58

224

Views

The product topological space of two finite closed topologies is not finite closed.

Published on 28 Apr 2026 - 20:21

score 83 · Answer 3 · 2026-04-13 18:06:26

83

Views

Evaluating $\sum_{n=1}^\infty \frac{1}{(n^5)!} \approx 1$ and proving that is irrational.

Published on 13 Apr 2026 - 18:06

score 186 · Answer 4 · 2026-04-12 11:05:13

186

Views

Series Solution to Legendre Equation

Published on 12 Apr 2026 - 11:05

score 45 · Answer 5 · 2026-04-12 01:19:32

45

Views

standard deviation - linear coding

Published on 12 Apr 2026 - 1:19

score 140 · Answer 6 · 2026-04-11 11:40:20

140

Views

Pointwise limit function of a piecewise function

Published on 11 Apr 2026 - 11:40

score 238 · Answer 7 · 2026-04-15 13:04:01

238

Views

If a positive increasing sequence tends to infinity, then $\sum_{n=2}^\infty \frac{a_n-a_{n-1}}{a_n}=\infty$

Published on 15 Apr 2026 - 13:04

score 2.6k · Answer 8 · 2026-04-15 22:25:55

2.6k

Views

Proof verification. If $x_n$ is a monotone sequence and it has a convergent subsequence $x_{n_k}$, then $x_n$ is convergent to the same limit.

Published on 15 Apr 2026 - 22:25

score 422 · Answer 9 · 2026-04-15 18:50:00

422

Views

If $f:X\rightarrow X$ is continuous and $(X,d)$ is compact, show there is $\epsilon>0$ such that $d(x,f(x))>\epsilon$ for all $x\in X$.

Published on 15 Apr 2026 - 18:50

score 1.2k · Answer 10 · 2026-04-15 09:00:27

1.2k

Views

Relation between components and path components of a topological space X.

Published on 15 Apr 2026 - 9:00

score 999 · Answer 11 · 2026-04-14 05:50:18

999

Views

Criterion for showing that a morphism of schemes is an isomorphism

Published on 14 Apr 2026 - 5:50

score 1k · Answer 12 · 2026-04-18 09:57:27

1k

Views

Proof that $\sin {x}$ is infinitely continuously differentiable over $[m,n]$

Published on 18 Apr 2026 - 9:57

score 58 · Answer 13 · 2026-04-16 13:02:03

58

Views

Proof that $fg \geq 1 \implies \int_E f\ d\mu\int_E g\ d\mu \geq \mu^2(E)$

Published on 16 Apr 2026 - 13:02

score 34 · Answer 14 · 2026-04-14 17:50:01

34

Views

Equivalent condition for a stochastic process to be independent of a $\sigma$-algebra

Published on 14 Apr 2026 - 17:50

score 70 · Answer 15 · 2026-04-13 11:48:39

70

Views

Prove that $(Au)(t)=\frac{d^{2}u(t)}{dt^{2}}$ is self-adjoint

Published on 13 Apr 2026 - 11:48

List Question

Large graph connectivity implies both many and few edges?

The product topological space of two finite closed topologies is not finite closed.

Evaluating $\sum_{n=1}^\infty \frac{1}{(n^5)!} \approx 1$ and proving that is irrational.

Series Solution to Legendre Equation

standard deviation - linear coding

Pointwise limit function of a piecewise function

If a positive increasing sequence tends to infinity, then $\sum_{n=2}^\infty \frac{a_n-a_{n-1}}{a_n}=\infty$

Proof verification. If $x_n$ is a monotone sequence and it has a convergent subsequence $x_{n_k}$, then $x_n$ is convergent to the same limit.

If $f:X\rightarrow X$ is continuous and $(X,d)$ is compact, show there is $\epsilon>0$ such that $d(x,f(x))>\epsilon$ for all $x\in X$.

Relation between components and path components of a topological space X.

Criterion for showing that a morphism of schemes is an isomorphism

Proof that $\sin {x}$ is infinitely continuously differentiable over $[m,n]$

Proof that $fg \geq 1 \implies \int_E f\ d\mu\int_E g\ d\mu \geq \mu^2(E)$

Equivalent condition for a stochastic process to be independent of a $\sigma$-algebra

Prove that $(Au)(t)=\frac{d^{2}u(t)}{dt^{2}}$ is self-adjoint

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