Question

Proving $S:=\left\{1\Big/\left(x^2-3\right)\mid x\in\Bbb Q\right\}$ is unbounded

score 56 · Answer 1 · 2020-05-21 06:05:07

56

Views

Proving $S:=\left\{1\Big/\left(x^2-3\right)\mid x\in\Bbb Q\right\}$ is unbounded

Published on 21 May 2020 - 6:05

score 53 · Answer 2 · 2026-03-29 19:46:57

53

Views

Connectedness of non-zero quaternions

Published on 29 Mar 2026 - 19:46

score 541 · Answer 3 · 2026-04-13 20:54:10

541

Views

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Published on 13 Apr 2026 - 20:54

score 88 · Answer 4 · 2026-03-25 23:20:44

88

Views

Exercise 0.9 in Miles Reid's Commutative Algebra

Published on 25 Mar 2026 - 23:20

score 336 · Answer 5 · 2026-04-13 19:59:16

336

Views

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

Published on 13 Apr 2026 - 19:59

score 240 · Answer 6 · 2026-04-11 23:05:29

240

Views

What is the largest open interval $I$ containing $x = 0$ on which $\exists !$solution $y(x)$ to this problem? (Understanding the solution)

Published on 11 Apr 2026 - 23:05

score 63 · Answer 7 · 2020-05-21 18:29:31

63

Views

Prove that $f(x)\to L$ as $x\to x_0$ iff $f(U\cap E)\subseteq V$ whenever $V\ni L$ and $U\cap E\ni x_0$ are open.

Published on 21 May 2020 - 18:29

score 1k · Answer 8 · 2026-04-11 10:25:31

1k

Views

What is an outline of a proof?

Published on 11 Apr 2026 - 10:25

score 134 · Answer 9 · 2026-04-13 01:54:50

134

Views

A question concerning the hypothetical syllogism.

Published on 13 Apr 2026 - 1:54

score 37 · Answer 10 · 2026-04-09 12:24:02

37

Views

Failing to complete easy contraposition proof

Published on 09 Apr 2026 - 12:24

score 56 · Answer 11 · 2026-04-11 16:40:22

56

Views

How do we prove that a power series centered at $a\in\textbf{R}$ is continuous on the interval $(a-R,a+R)$?

Published on 11 Apr 2026 - 16:40

score 105 · Answer 12 · 2026-04-09 15:22:20

105

Views

$1^a \cong 1$ in cartesian closed categories

Published on 09 Apr 2026 - 15:22

score 77 · Answer 13 · 2026-04-11 15:07:21

77

Views

How to discuss the solution of this equation system in Function of Lambda

Published on 11 Apr 2026 - 15:07

score 85 · Answer 14 · 2026-04-13 17:16:39

85

Views

Proof verification: $f^{-1}$ is bijective with $(f^{-1})^{-1}=f$

Published on 13 Apr 2026 - 17:16

score 1.2k · Answer 15 · 2026-04-14 06:39:46

1.2k

Views

Prove that $Y$ is complete iff it is closed.

Published on 14 Apr 2026 - 6:39

List Question

Proving $S:=\left\{1\Big/\left(x^2-3\right)\mid x\in\Bbb Q\right\}$ is unbounded

Connectedness of non-zero quaternions

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Exercise 0.9 in Miles Reid's Commutative Algebra

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

What is the largest open interval $I$ containing $x = 0$ on which $\exists !$solution $y(x)$ to this problem? (Understanding the solution)

Prove that $f(x)\to L$ as $x\to x_0$ iff $f(U\cap E)\subseteq V$ whenever $V\ni L$ and $U\cap E\ni x_0$ are open.

What is an outline of a proof?

A question concerning the hypothetical syllogism.

Failing to complete easy contraposition proof

How do we prove that a power series centered at $a\in\textbf{R}$ is continuous on the interval $(a-R,a+R)$?

$1^a \cong 1$ in cartesian closed categories

How to discuss the solution of this equation system in Function of Lambda

Proof verification: $f^{-1}$ is bijective with $(f^{-1})^{-1}=f$

Prove that $Y$ is complete iff it is closed.

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