Question

The difference between $\forall x \in \Bbb{R}, \exists y \in \Bbb{R},\, x + y > 0$ and $\exists x \in \Bbb{R}, \forall y ∈ \Bbb{R}, x + y > 0$

score 316 · Answer 1 · 2026-04-16 03:35:16

The difference between $\forall x \in \Bbb{R}, \exists y \in \Bbb{R},\, x + y > 0$ and $\exists x \in \Bbb{R}, \forall y ∈ \Bbb{R}, x + y > 0$

score 344 · Answer 2 · 2026-04-17 12:44:44

344

Views

I don't understand this "obvious" result

Published on 17 Apr 2026 - 12:44

score 376 · Answer 3 · 2026-04-14 19:23:22

376

Views

If $x, y$ are two integers which satisfy $x^2 + 6 = y^3$, how can I show that $x$ is odd and not divisible by $3$

Published on 14 Apr 2026 - 19:23

score 247 · Answer 4 · 2026-04-13 16:47:36

247

Views

Problems with proof of rank-nullity theorem

Published on 13 Apr 2026 - 16:47

score 136 · Answer 5 · 2026-04-13 19:11:54

136

Views

Inverse image of a particular measurable function, from rudin real and complex analysis theorem 1.14

Published on 13 Apr 2026 - 19:11

score 38 · Answer 6 · 2026-04-16 17:00:24

38

Views

Any one help me critic or give a better proof for number of diagonals in a polygon

Published on 16 Apr 2026 - 17:00

score 862 · Answer 7 · 2026-04-11 16:21:50

862

Views

Rudin theorem 1.17, understanding the monotonicity of the function sequences defined.

Published on 11 Apr 2026 - 16:21

score 605 · Answer 8 · 2026-04-13 06:56:05

605

Views

Decomposition of finite cyclic group into direct product

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score 2.4k · Answer 9 · 2026-04-14 00:18:52

2.4k

Views

Taking a derivative from both sides of the equation

Published on 14 Apr 2026 - 0:18

score 772 · Answer 10 · 2026-05-11 09:35:30

772

Views

Inertia group of compositum of number fields – erratum in Ribenboim's book?

Published on 11 May 2026 - 9:35

score 40 · Answer 11 · 2026-04-11 12:09:50

40

Views

Clarification on part of the proof for the Integral Test

Published on 11 Apr 2026 - 12:09

score 573 · Answer 12 · 2026-05-16 19:47:37

573

Views

Proof using dot and cross product.

Published on 16 May 2026 - 19:47

score 78 · Answer 13 · 2026-04-14 03:17:45

78

Views

Why do I have to solve for $x$ in this proof, if I choose not to find a counterexample?

Published on 14 Apr 2026 - 3:17

score 601 · Answer 14 · 2026-04-10 21:20:20

601

Views

Derivation of parallel axis theorem- understanding integration with a dot product.

Published on 10 Apr 2026 - 21:20

score 264 · Answer 15 · 2026-05-11 07:47:04

264

Views

Regarding proof of Hermite polynomials, identifying coefficients in two series.

Published on 11 May 2026 - 7:47

List Question

The difference between $\forall x \in \Bbb{R}, \exists y \in \Bbb{R},\, x + y > 0$ and $\exists x \in \Bbb{R}, \forall y ∈ \Bbb{R}, x + y > 0$

I don't understand this "obvious" result

If $x, y$ are two integers which satisfy $x^2 + 6 = y^3$, how can I show that $x$ is odd and not divisible by $3$

Problems with proof of rank-nullity theorem

Inverse image of a particular measurable function, from rudin real and complex analysis theorem 1.14

Any one help me critic or give a better proof for number of diagonals in a polygon

Rudin theorem 1.17, understanding the monotonicity of the function sequences defined.

Decomposition of finite cyclic group into direct product

Taking a derivative from both sides of the equation

Inertia group of compositum of number fields – erratum in Ribenboim's book?

Clarification on part of the proof for the Integral Test

Proof using dot and cross product.

Why do I have to solve for $x$ in this proof, if I choose not to find a counterexample?

Derivation of parallel axis theorem- understanding integration with a dot product.

Regarding proof of Hermite polynomials, identifying coefficients in two series.

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