Question

For any $\lambda, \theta, \gamma>0$ show that $\lim_{n \to \infty}n^\gamma \exp\left[-\frac{n^\lambda}{\ln(n)^\theta}\right]=0$

score 26 · Answer 1 · 2026-04-16 04:47:09

26

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For any $\lambda, \theta, \gamma>0$ show that $\lim_{n \to \infty}n^\gamma \exp\left[-\frac{n^\lambda}{\ln(n)^\theta}\right]=0$

Published on 16 Apr 2026 - 4:47

score 34 · Answer 2 · 2026-04-16 15:10:08

34

Views

Is it $E[\mathbf{1}_{\{\tau\leq T\}}]\leq E[\mathbf{1}_{\{\tau\leq T+1\}}]$?

Published on 16 Apr 2026 - 15:10

score 119 · Answer 3 · 2026-04-12 21:01:31

119

Views

Proof Verification for Baby Rudin's Chapter 4 Exercise 4

Published on 12 Apr 2026 - 21:01

score 513 · Answer 4 · 2026-04-17 15:37:35

513

Views

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Published on 17 Apr 2026 - 15:37

score 224 · Answer 5 · 2026-04-13 17:27:13

224

Views

Can this inductive proof that $\sum_{i=0}^n2^{2i+1}=\frac23(4^n-1)$ be simplified?

Published on 13 Apr 2026 - 17:27

score 59 · Answer 6 · 2026-04-16 02:29:41

59

Views

If $G$ is a finite group such that $G / Z(G)$ is cyclic then $G$ is abelian

Published on 16 Apr 2026 - 2:29

score 47 · Answer 7 · 2026-04-13 21:21:13

47

Views

if $(X,\tau)$ is an $T_1$- space, then every subset of $X$ is a saturated set

Published on 13 Apr 2026 - 21:21

score 226 · Answer 8 · 2026-04-15 10:55:58

226

Views

If every subset of $X$ is saturated, then $(X,\tau)$ is a $T_1$ - space

Published on 15 Apr 2026 - 10:55

score 706 · Answer 9 · 2026-04-12 23:48:53

Proving that the Average Product function attains max value at the point where the Marginal Product is equal to the Average Product.

score 139 · Answer 10 · 2026-04-14 22:21:00

139

Views

$\alpha$ can be the angle of which quadrants?

Published on 14 Apr 2026 - 22:21

score 99 · Answer 11 · 2026-04-20 06:53:52

99

Views

Probability of $X \in A$ using Lebesgue measure - proof verification

Published on 20 Apr 2026 - 6:53

score 426 · Answer 12 · 2026-04-14 15:10:01

426

Views

If $A$ is an orthogonal matrix with $|A|=-1$, show that $|I-A|=0$

Published on 14 Apr 2026 - 15:10

score 193 · Answer 13 · 2026-04-08 17:40:23

193

Views

Spectral family of self-adjoint linear operator

Published on 08 Apr 2026 - 17:40

score 291 · Answer 14 · 2026-04-16 13:25:09

291

Views

Is this proof that $\sqrt 2 \in R$ correct?

Published on 16 Apr 2026 - 13:25

score 461 · Answer 15 · 2026-04-15 16:30:47

461

Views

Find the number of solutions for the equation $4\{x\}=x+[x]$

Published on 15 Apr 2026 - 16:30

List Question

For any $\lambda, \theta, \gamma>0$ show that $\lim_{n \to \infty}n^\gamma \exp\left[-\frac{n^\lambda}{\ln(n)^\theta}\right]=0$

Is it $E[\mathbf{1}_{\{\tau\leq T\}}]\leq E[\mathbf{1}_{\{\tau\leq T+1\}}]$?

Proof Verification for Baby Rudin's Chapter 4 Exercise 4

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Can this inductive proof that $\sum_{i=0}^n2^{2i+1}=\frac23(4^n-1)$ be simplified?

If $G$ is a finite group such that $G / Z(G)$ is cyclic then $G$ is abelian

if $(X,\tau)$ is an $T_1$- space, then every subset of $X$ is a saturated set

If every subset of $X$ is saturated, then $(X,\tau)$ is a $T_1$ - space

Proving that the Average Product function attains max value at the point where the Marginal Product is equal to the Average Product.

$\alpha$ can be the angle of which quadrants?

Probability of $X \in A$ using Lebesgue measure - proof verification

If $A$ is an orthogonal matrix with $|A|=-1$, show that $|I-A|=0$

Spectral family of self-adjoint linear operator

Is this proof that $\sqrt 2 \in R$ correct?

Find the number of solutions for the equation $4\{x\}=x+[x]$

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