Question

Sequence of points in metric space

score 75 · Answer 1 · 2026-04-15 07:02:06

75

Views

Sequence of points in metric space

Published on 15 Apr 2026 - 7:02

score 59 · Answer 2 · 2026-04-16 10:42:52

59

Views

An upper bound for an infinite series, indexed by $k,$ independent of $k?$

Published on 16 Apr 2026 - 10:42

score 686 · Answer 3 · 2026-04-16 10:39:33

686

Views

Space of Linear and Bounded Operators is a Banach Space

Published on 16 Apr 2026 - 10:39

score 54 · Answer 4 · 2026-04-16 11:01:44

54

Views

Well posedness of PDEs of the form $u_{tt} + \left[ P ( \partial_x)\right]^2u=0$

Published on 16 Apr 2026 - 11:01

score 2.3k · Answer 5 · 2026-04-12 05:42:03

2.3k

Views

Jordan measure and Riemann integral

Published on 12 Apr 2026 - 5:42

score 118 · Answer 6 · 2026-04-16 21:15:18

118

Views

Showing that $\lim_{x \rightarrow \infty} - \frac{\log (2 \Phi(\alpha \sqrt{x}))}{x} = \frac{\alpha^2}{2}$.

Published on 16 Apr 2026 - 21:15

score 195 · Answer 7 · 2026-04-15 17:06:43

195

Views

Prove or disprove that there exists a constant $K$ such that $|f(x)-f(y)|\leq K |x-y|,\;\;\forall\;\;x,y\in[0,1]$

Published on 15 Apr 2026 - 17:06

score 75 · Answer 8 · 2026-04-17 13:17:19

75

Views

If $a_{n+1}\leq (1-\alpha_n)a_n+\alpha_n\beta_n,\;\;n=1,2,3,\cdots$, then prove that $a_n\to 0$ as $n\to\infty.$

Published on 17 Apr 2026 - 13:17

score 116 · Answer 9 · 2026-04-15 19:50:08

116

Views

If $\rho_{n+1}\leq\rho_{n} +\sigma_n,\;\;\forall\;\;n\geq N_0,$ then prove that $\lim\rho_n=0.$

Published on 15 Apr 2026 - 19:50

score 385 · Answer 10 · 2026-04-10 21:47:31

385

Views

Is there a way to show that an arbitrary function is continuous?

Published on 10 Apr 2026 - 21:47

score 2.7k · Answer 11 · 2026-04-18 07:20:13

2.7k

Views

What is the idea behind zeta function regularization?

Published on 18 Apr 2026 - 7:20

score 1.4k · Answer 12 · 2026-04-13 19:30:13

1.4k

Views

Let $X$ locally compact and $\sigma$-compact. Then any open subset is also $\sigma$-compact

Published on 13 Apr 2026 - 19:30

score 85 · Answer 13 · 2026-04-17 11:55:27

85

Views

Does the derivative of $f(x)=\begin{cases}\dfrac{x}{2}+x^2\sin\left(\dfrac{1}{x}\right)& x\neq 0,\\0, &x=0\end{cases}$ exist everywhere?

Published on 17 Apr 2026 - 11:55

score 558 · Answer 14 · 2026-04-16 11:00:53

558

Views

For which n differential operator $C^{(n)}[0, 1] \rightarrow C[0,1]$ is compact

Published on 16 Apr 2026 - 11:00

score 60 · Answer 15 · 2026-04-14 15:27:25

60

Views

Upper bound on a series of integrals

Published on 14 Apr 2026 - 15:27

List Question

Sequence of points in metric space

An upper bound for an infinite series, indexed by $k,$ independent of $k?$

Space of Linear and Bounded Operators is a Banach Space

Well posedness of PDEs of the form $u_{tt} + \left[ P ( \partial_x)\right]^2u=0$

Jordan measure and Riemann integral

Showing that $\lim_{x \rightarrow \infty} - \frac{\log (2 \Phi(\alpha \sqrt{x}))}{x} = \frac{\alpha^2}{2}$.

Prove or disprove that there exists a constant $K$ such that $|f(x)-f(y)|\leq K |x-y|,\;\;\forall\;\;x,y\in[0,1]$

If $a_{n+1}\leq (1-\alpha_n)a_n+\alpha_n\beta_n,\;\;n=1,2,3,\cdots$, then prove that $a_n\to 0$ as $n\to\infty.$

If $\rho_{n+1}\leq\rho_{n} +\sigma_n,\;\;\forall\;\;n\geq N_0,$ then prove that $\lim\rho_n=0.$

Is there a way to show that an arbitrary function is continuous?

What is the idea behind zeta function regularization?

Let $X$ locally compact and $\sigma$-compact. Then any open subset is also $\sigma$-compact

Does the derivative of $f(x)=\begin{cases}\dfrac{x}{2}+x^2\sin\left(\dfrac{1}{x}\right)& x\neq 0,\\0, &x=0\end{cases}$ exist everywhere?

For which n differential operator $C^{(n)}[0, 1] \rightarrow C[0,1]$ is compact

Upper bound on a series of integrals

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