Question

A small help needed in proving a smart part of a result - to show that we need at least 2r-3 vertices to construct a particular type of graph.

score 206 · Answer 1 · 2026-04-15 23:19:41

206

Views

A small help needed in proving a smart part of a result - to show that we need at least 2r-3 vertices to construct a particular type of graph.

Published on 15 Apr 2026 - 23:19

score 65 · Answer 2 · 2026-04-14 07:27:52

65

Views

Show that the initial object of bipointed sets is the identity

Published on 14 Apr 2026 - 7:27

score 64 · Answer 3 · 2026-04-10 15:56:15

64

Views

Monotone class: verification

Published on 10 Apr 2026 - 15:56

score 19 · Answer 4 · 2026-04-15 14:41:09

Show that any polynomial $P(x) \in E(\Omega) = C^{\infty}(\Omega)$ but $P(x)\notin S(\Omega)$, where $S(\Omega)$ is the Schwartz space.

score 1.2k · Answer 5 · 2026-04-16 12:31:38

1.2k

Views

Let $p$ be a prime of the form $p = a^2 + b^2$ with $a,b \in \mathbb{Z}$ and $a$ an odd prime. Prove that $(a/p) =1$

Published on 16 Apr 2026 - 12:31

score 82 · Answer 6 · 2026-04-16 09:31:44

82

Views

Show that a is a quadratic residue modulo $p$ iff $ind_{r} (\mathbb{a})$ is even.

Published on 16 Apr 2026 - 9:31

score 41 · Answer 7 · 2026-04-12 21:00:36

41

Views

Proof that a Power Series can be centered at different points.

Published on 12 Apr 2026 - 21:00

score 96 · Answer 8 · 2026-04-17 02:42:32

96

Views

Prove $n! \geq 2^{n - 1}$ ; $n\geq 0$

Published on 17 Apr 2026 - 2:42

score 124 · Answer 9 · 2026-04-12 02:54:46

124

Views

Question on how to prove an expression satisfies a quadratic equation

Published on 12 Apr 2026 - 2:54

score 79 · Answer 10 · 2026-04-09 07:04:52

79

Views

Verification of proof on repeated root for a quadratic polynomial

Published on 09 Apr 2026 - 7:04

score 376 · Answer 11 · 2026-04-16 03:43:29

376

Views

Prove that $\phi (p-1) \leq (p-1)/2$, where $p\geq 3$ is a prime

Published on 16 Apr 2026 - 3:43

score 176 · Answer 12 · 2026-04-17 19:00:51

176

Views

A $\sigma$-finite measure on a semialgebra

Published on 17 Apr 2026 - 19:00

score 1.2k · Answer 13 · 2026-04-11 17:00:29

1.2k

Views

If $f$ is continuous on $(0,1)$ and $\lim_{x \to 0^+}f(x) = +\infty$, show that $f$ is not uniformly continuous

Published on 11 Apr 2026 - 17:00

score 161 · Answer 14 · 2026-04-17 10:01:11

161

Views

Show that there is some $x \in (0,\frac{\pi}{2})$ such that $\cos(x) = x$ and prove this is the only real solution. Proof Verification

Published on 17 Apr 2026 - 10:01

score 302 · Answer 15 · 2026-04-12 22:32:32

302

Views

Prove the set of algebraic numbers is countable

Published on 12 Apr 2026 - 22:32

List Question

A small help needed in proving a smart part of a result - to show that we need at least 2r-3 vertices to construct a particular type of graph.

Show that the initial object of bipointed sets is the identity

Monotone class: verification

Show that any polynomial $P(x) \in E(\Omega) = C^{\infty}(\Omega)$ but $P(x)\notin S(\Omega)$, where $S(\Omega)$ is the Schwartz space.

Let $p$ be a prime of the form $p = a^2 + b^2$ with $a,b \in \mathbb{Z}$ and $a$ an odd prime. Prove that $(a/p) =1$

Show that a is a quadratic residue modulo $p$ iff $ind_{r} (\mathbb{a})$ is even.

Proof that a Power Series can be centered at different points.

Prove $n! \geq 2^{n - 1}$ ; $n\geq 0$

Question on how to prove an expression satisfies a quadratic equation

Verification of proof on repeated root for a quadratic polynomial

Prove that $\phi (p-1) \leq (p-1)/2$, where $p\geq 3$ is a prime

A $\sigma$-finite measure on a semialgebra

If $f$ is continuous on $(0,1)$ and $\lim_{x \to 0^+}f(x) = +\infty$, show that $f$ is not uniformly continuous

Show that there is some $x \in (0,\frac{\pi}{2})$ such that $\cos(x) = x$ and prove this is the only real solution. Proof Verification

Prove the set of algebraic numbers is countable

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