Question

If $G = \langle a \rangle$ is a finite cyclic group of order $n$ then the order of every element of $G$ is a divisor of $n$ - correct proof?

score 117 · Answer 1 · 2026-04-16 19:32:59

If $G = \langle a \rangle$ is a finite cyclic group of order $n$ then the order of every element of $G$ is a divisor of $n$ - correct proof?

score 136 · Answer 2 · 2026-04-14 15:29:15

136

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$H$ is Hilbert Space, select $x_n\in H$ such that $||x_n||=n$ then $\exists x \in H$ such that $\sup_n |(x_n,x)|=\infty$

Published on 14 Apr 2026 - 15:29

score 154 · Answer 3 · 2026-04-29 12:25:35

154

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Given a quadrilateral $ABCD$, $\angle DAC=3x$, $\angle CAB=4x$, $\angle BDC=2x$. Find the value of $x$

Published on 29 Apr 2026 - 12:25

score 283 · Answer 4 · 2026-04-16 08:13:57

283

Views

Evaluate integral $\int_{-\infty}^\infty\Gamma(1+ix)\Gamma(1-ix)~dx$

Published on 16 Apr 2026 - 8:13

score 63 · Answer 5 · 2026-04-16 03:48:53

63

Views

Compute the cardinality of $A = \{f : X \to X; f(f(x)) = x, \forall x \in X\}$ where $|X|=5$

Published on 16 Apr 2026 - 3:48

score 51 · Answer 6 · 2026-04-15 00:38:33

51

Views

Smallest topology containing a family of topologies on a set

Published on 15 Apr 2026 - 0:38

score 63 · Answer 7 · 2026-04-10 06:06:33

63

Views

Possible arrangements of $n$ balls in $n$ boxes

Published on 10 Apr 2026 - 6:06

score 121 · Answer 8 · 2026-04-17 18:55:27

121

Views

Construction of confidence interval for a normally distributed parameter

Published on 17 Apr 2026 - 18:55

score 32 · Answer 9 · 2026-04-25 19:35:47

32

Views

Proving an inequality for the Lucas sequence using Strong Induction

Published on 25 Apr 2026 - 19:35

score 71 · Answer 10 · 2026-04-10 20:30:26

71

Views

Solution to inhomogeneous PDE by method of characteristics

Published on 10 Apr 2026 - 20:30

score 194 · Answer 11 · 2026-04-16 12:23:50

194

Views

Is this proof of the Riemann-Lebesgue lemma correct

Published on 16 Apr 2026 - 12:23

score 197 · Answer 12 · 2026-04-14 22:22:05

197

Views

How to solve the damped harmonic oscillator equation $\ddot{x}+2\gamma\dot{x}+w_0^2x=0$ without a calculator/online resources

Published on 14 Apr 2026 - 22:22

score 233 · Answer 13 · 2026-04-16 14:24:31

233

Views

Suppose $T_1, T_2\in L(V,W)$. Prove that if $\text{null }T_1=\text{null }T_2$ then there exists invertible operator $S\in L(W)$ such that $T_1=ST_2$

Published on 16 Apr 2026 - 14:24

score 219 · Answer 14 · 2026-02-24 21:49:02

219

Views

Construction of confidence intervals for a Gamma random variable

Published on 24 Feb 2026 - 21:49

score 59 · Answer 15 · 2026-04-16 19:30:28

59

Views

If $0<a<1$, then $\inf\{a^n:n\in\mathbb{Z}_+\}=0$.

Published on 16 Apr 2026 - 19:30

List Question

If $G = \langle a \rangle$ is a finite cyclic group of order $n$ then the order of every element of $G$ is a divisor of $n$ - correct proof?

$H$ is Hilbert Space, select $x_n\in H$ such that $||x_n||=n$ then $\exists x \in H$ such that $\sup_n |(x_n,x)|=\infty$

Given a quadrilateral $ABCD$, $\angle DAC=3x$, $\angle CAB=4x$, $\angle BDC=2x$. Find the value of $x$

Evaluate integral $\int_{-\infty}^\infty\Gamma(1+ix)\Gamma(1-ix)~dx$

Compute the cardinality of $A = \{f : X \to X; f(f(x)) = x, \forall x \in X\}$ where $|X|=5$

Smallest topology containing a family of topologies on a set

Possible arrangements of $n$ balls in $n$ boxes

Construction of confidence interval for a normally distributed parameter

Proving an inequality for the Lucas sequence using Strong Induction

Solution to inhomogeneous PDE by method of characteristics

Is this proof of the Riemann-Lebesgue lemma correct

How to solve the damped harmonic oscillator equation $\ddot{x}+2\gamma\dot{x}+w_0^2x=0$ without a calculator/online resources

Suppose $T_1, T_2\in L(V,W)$. Prove that if $\text{null }T_1=\text{null }T_2$ then there exists invertible operator $S\in L(W)$ such that $T_1=ST_2$

Construction of confidence intervals for a Gamma random variable

If $0<a<1$, then $\inf\{a^n:n\in\mathbb{Z}_+\}=0$.

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