Question

Easy number theory/proof by induction

score 56 · Answer 1 · 2026-04-11 05:12:20

56

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Easy number theory/proof by induction

Published on 11 Apr 2026 - 5:12

score 635 · Answer 2 · 2026-04-12 22:10:06

635

Views

How to show that $(n!/n^n)_{n\geq 0}$ is a null sequence?

Published on 12 Apr 2026 - 22:10

score 148 · Answer 3 · 2026-04-12 11:40:53

148

Views

Proof of $A_3(n)$ in Stanley's Enumerative Combinatorics Exercise 14, Chapter 2

Published on 12 Apr 2026 - 11:40

score 457 · Answer 4 · 2026-04-13 05:58:44

457

Views

An ideal $I$ of the ring $R$ is a semiprime ideal if and only if the quotient ring $R/I$ has no nonzero nilpotent elements.

Published on 13 Apr 2026 - 5:58

score 66 · Answer 5 · 2026-04-14 14:49:27

66

Views

Question from Triangles (Geometry) including angle bisector

Published on 14 Apr 2026 - 14:49

score 143 · Answer 6 · 2026-04-16 15:31:55

143

Views

$X,Y$ disjoint closed sets such that $X\cup Y = [a,b]$. Show that $X= \emptyset$ or $Y = \emptyset$

Published on 16 Apr 2026 - 15:31

score 149 · Answer 7 · 2026-04-15 19:55:11

149

Views

Find the condition on $p$ such that equation $x^2+3 \equiv 0 \pmod{4p^2}$ has roots

Published on 15 Apr 2026 - 19:55

score 67 · Answer 8 · 2026-04-11 04:56:54

67

Views

How many dismentals of set A exists?

Published on 11 Apr 2026 - 4:56

score 1.6k · Answer 9 · 2026-04-24 02:26:09

1.6k

Views

if $\sum_{n=1}^{\infty} a_n$ converges absolutely then prove that $\sum_{n=1}^{\infty} a_n^2$ converges

Published on 24 Apr 2026 - 2:26

score 82 · Answer 10 · 2026-04-15 23:37:38

82

Views

Is my solution of $\lim _{n\to\infty} \frac{1^e+2^e+\cdots +n^e}{n^{e+1}}$ correct?

Published on 15 Apr 2026 - 23:37

score 67 · Answer 11 · 2026-04-17 04:53:06

67

Views

To Prove that two given triangles are similar if some conditions are given

Published on 17 Apr 2026 - 4:53

score 125 · Answer 12 · 2026-04-12 03:45:25

125

Views

Homeomorphism inducing auto-homeomorphism on function space

Published on 12 Apr 2026 - 3:45

score 70 · Answer 13 · 2026-04-15 21:37:24

70

Views

minimal normal group of a finite solvable group is elementary abelian p-group

Published on 15 Apr 2026 - 21:37

score 290 · Answer 14 · 2026-04-15 04:58:35

290

Views

Radical of the ideal generated by $x^3 - y^6$ and $xy-y^3$

Published on 15 Apr 2026 - 4:58

score 1.3k · Answer 15 · 2026-04-13 08:53:41

1.3k

Views

A set $A$ is nowhere dense if and only if every non-empty open set has a non-emtpy open subset disjoint from $\overline{A}$

Published on 13 Apr 2026 - 8:53

List Question

Easy number theory/proof by induction

How to show that $(n!/n^n)_{n\geq 0}$ is a null sequence?

Proof of $A_3(n)$ in Stanley's Enumerative Combinatorics Exercise 14, Chapter 2

An ideal $I$ of the ring $R$ is a semiprime ideal if and only if the quotient ring $R/I$ has no nonzero nilpotent elements.

Question from Triangles (Geometry) including angle bisector

$X,Y$ disjoint closed sets such that $X\cup Y = [a,b]$. Show that $X= \emptyset$ or $Y = \emptyset$

Find the condition on $p$ such that equation $x^2+3 \equiv 0 \pmod{4p^2}$ has roots

How many dismentals of set A exists?

if $\sum_{n=1}^{\infty} a_n$ converges absolutely then prove that $\sum_{n=1}^{\infty} a_n^2$ converges

Is my solution of $\lim _{n\to\infty} \frac{1^e+2^e+\cdots +n^e}{n^{e+1}}$ correct?

To Prove that two given triangles are similar if some conditions are given

Homeomorphism inducing auto-homeomorphism on function space

minimal normal group of a finite solvable group is elementary abelian p-group

Radical of the ideal generated by $x^3 - y^6$ and $xy-y^3$

A set $A$ is nowhere dense if and only if every non-empty open set has a non-emtpy open subset disjoint from $\overline{A}$

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