Question

Prove $\frac{(x^2-5x+2)}{(x+1)} = x-6$ has no solutions using contradiction

score 98 · Answer 1 · 2018-03-14 05:55:45

98

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Prove $\frac{(x^2-5x+2)}{(x+1)} = x-6$ has no solutions using contradiction

Published on 14 Mar 2018 - 5:55

score 328 · Answer 2 · 2026-03-29 04:10:47

328

Views

Prove that there are infinitely many primes of the form $25m+7$.

Published on 29 Mar 2026 - 4:10

score 1.2k · Answer 3 · 2026-03-27 03:59:18

1.2k

Views

Prove that $||x+y|| \leq ||x|| +||y||$

Published on 27 Mar 2026 - 3:59

score 525 · Answer 4 · 2026-04-09 03:42:04

525

Views

Grassmannian $G(2,3)$ homeomorphic to the projective plane $\mathbb{P}_{\mathbb{R}}^2$

Published on 09 Apr 2026 - 3:42

score 76 · Answer 5 · 2026-04-03 03:37:58

Let $x \in \mathbb R$. Prove that the $\lceil{x}\rceil$ is unique; that is, prove that there is at most one $n \in \mathbb Z$ with $n − 1 < x ≤ n.$

score 113 · Answer 6 · 2026-03-29 00:00:08

113

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Linear Algebra: Prove that if $T$ is a linear map from vector space $V$ to vector space $W$, then the range of $T$ is a subspace of $W$

Published on 29 Mar 2026 - 0:00

score 1.6k · Answer 7 · 2026-03-25 16:40:16

1.6k

Views

Prove that if $G$ is a $k$-edge-connected graph, then $G+K_1$ is $(k+1)$ -edge-connected (my proof)

Published on 25 Mar 2026 - 16:40

score 67 · Answer 8 · 2026-03-29 05:49:45

67

Views

Set proof for intro to pure math class: $(A-C)\subseteq (A-B)\cup (B-C)$

Published on 29 Mar 2026 - 5:49

score 642 · Answer 9 · 2018-03-17 01:13:50

642

Views

Prove that the set $X=\{1/n : n \in \mathbb{N}\}$ has no minimum.

Published on 17 Mar 2018 - 1:13

score 524 · Answer 10 · 2026-03-25 11:54:15

524

Views

Proving that differentiable functions are n-homogeneous if they satisfy this PDE

Published on 25 Mar 2026 - 11:54

score 1k · Answer 11 · 2026-03-25 04:43:47

1k

Views

Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

Published on 25 Mar 2026 - 4:43

score 76 · Answer 12 · 2018-03-17 18:08:37

76

Views

Elementary Number Theory: Proof

Published on 17 Mar 2018 - 18:08

score 24 · Answer 13 · 2026-04-09 17:27:00

24

Views

Let $g(x)$ be continuous for all $x$ and let $g(a+b) = g(a) + g(b)$ for all $a$,$b$...

Published on 09 Apr 2026 - 17:27

score 3.4k · Answer 14 · 2026-03-25 12:53:14

3.4k

Views

In proofs, are "for each" and "for any" synonyms?

Published on 25 Mar 2026 - 12:53

score 59 · Answer 15 · 2026-03-25 19:07:11

59

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Let $f : X \to Y$ be surjective. Show that there exists an injection $h : Y \to X$ such that $f \circ h = Id_Y$

Published on 25 Mar 2026 - 19:07

List Question

Prove $\frac{(x^2-5x+2)}{(x+1)} = x-6$ has no solutions using contradiction

Prove that there are infinitely many primes of the form $25m+7$.

Prove that $||x+y|| \leq ||x|| +||y||$

Grassmannian $G(2,3)$ homeomorphic to the projective plane $\mathbb{P}_{\mathbb{R}}^2$

Let $x \in \mathbb R$. Prove that the $\lceil{x}\rceil$ is unique; that is, prove that there is at most one $n \in \mathbb Z$ with $n − 1 < x ≤ n.$

Linear Algebra: Prove that if $T$ is a linear map from vector space $V$ to vector space $W$, then the range of $T$ is a subspace of $W$

Prove that if $G$ is a $k$-edge-connected graph, then $G+K_1$ is $(k+1)$ -edge-connected (my proof)

Set proof for intro to pure math class: $(A-C)\subseteq (A-B)\cup (B-C)$

Prove that the set $X=\{1/n : n \in \mathbb{N}\}$ has no minimum.

Proving that differentiable functions are n-homogeneous if they satisfy this PDE

Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

Elementary Number Theory: Proof

Let $g(x)$ be continuous for all $x$ and let $g(a+b) = g(a) + g(b)$ for all $a$,$b$...

In proofs, are "for each" and "for any" synonyms?

Let $f : X \to Y$ be surjective. Show that there exists an injection $h : Y \to X$ such that $f \circ h = Id_Y$

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