Question

Find $\sup$ and $\inf$ of $x\sin(\frac{1}{x})$ on $(0,\infty)$.

score 422 · Answer 1 · 2022-05-11 15:58:26

422

Views

Find $\sup$ and $\inf$ of $x\sin(\frac{1}{x})$ on $(0,\infty)$.

Published on 11 May 2022 - 15:58

score 70 · Answer 2 · 2022-05-15 11:12:14

70

Views

Show that the expectation of supremum is bounded

Published on 15 May 2022 - 11:12

score 120 · Answer 3 · 2026-03-31 21:33:23

120

Views

Conjecture about areas of circular segment and polygon with equal perimeter sharing a side

Published on 31 Mar 2026 - 21:33

score 206 · Answer 4 · 2022-05-22 14:27:54

206

Views

Let $2, 1+\frac{1}{2}, 3, 1+\frac{1}{3}, 4, 1+\frac {1}{4},\dots$ be a sequence. Does $a_n$ converge/diverge? Is there a $\sup$ or $\inf$?

Published on 22 May 2022 - 14:27

score 87 · Answer 5 · 2022-05-26 11:34:33

87

Views

Radius of a set intuition

Published on 26 May 2022 - 11:34

score 87 · Answer 6 · 2022-05-29 12:01:12

87

Views

Sequence converging to supremum of a function

Published on 29 May 2022 - 12:01

score 88 · Answer 7 · 2022-05-29 13:12:05

88

Views

Show that $f_n$ does not converge to $f$ in the uniform norm but does converge on the norm $||f||=\sqrt{\int_a^b|f(x)|^2}dx$

Published on 29 May 2022 - 13:12

score 49 · Answer 8 · 2022-05-30 15:48:19

49

Views

Supremum of $\frac xn$

Published on 30 May 2022 - 15:48

score 194 · Answer 9 · 2022-05-31 09:00:51

194

Views

Equivalent definition of essential supremum

Published on 31 May 2022 - 9:00

score 43 · Answer 10 · 2022-06-01 18:34:23

43

Views

Kaczor Problems Vol. 1. Pr. 1.1

Published on 01 Jun 2022 - 18:34

score 28 · Answer 11 · 2026-03-26 17:53:27

28

Views

Hatcher K-Theory continuity of $\alpha \to \inf_{(x,z)\in X \times S^1} \det|\alpha(x,z)|$

Published on 26 Mar 2026 - 17:53

score 1.1k · Answer 12 · 2022-06-03 19:59:23

1.1k

Views

Show that $\sup\{x\in\mathbb{Q}: x>0,x^2<2\}=\sqrt{2}$.

Published on 03 Jun 2022 - 19:59

score 117 · Answer 13 · 2022-06-06 02:29:56

117

Views

maximum of ${\sum\limits_{i = 1}^n {{a_i}x_i^m} }\left({\sum\limits_{i = 1}^n {{a_i}x_i^{m - 1}} }\right)^{-1}$, ${a_i} > 0,{x_i} \ge 1, m \ge 1$

Published on 06 Jun 2022 - 2:29

score 101 · Answer 14 · 2026-04-06 03:07:11

101

Views

A multiple choice question on a function

Published on 06 Apr 2026 - 3:07

score 108 · Answer 15 · 2026-04-03 21:45:31

108

Views

Does $(f^{0})^{0} = f$ hold for suplattice homomorphisms?

Published on 03 Apr 2026 - 21:45

List Question

Find $\sup$ and $\inf$ of $x\sin(\frac{1}{x})$ on $(0,\infty)$.

Show that the expectation of supremum is bounded

Conjecture about areas of circular segment and polygon with equal perimeter sharing a side

Let $2, 1+\frac{1}{2}, 3, 1+\frac{1}{3}, 4, 1+\frac {1}{4},\dots$ be a sequence. Does $a_n$ converge/diverge? Is there a $\sup$ or $\inf$?

Radius of a set intuition

Sequence converging to supremum of a function

Show that $f_n$ does not converge to $f$ in the uniform norm but does converge on the norm $||f||=\sqrt{\int_a^b|f(x)|^2}dx$

Supremum of $\frac xn$

Equivalent definition of essential supremum

Kaczor Problems Vol. 1. Pr. 1.1

Hatcher K-Theory continuity of $\alpha \to \inf_{(x,z)\in X \times S^1} \det|\alpha(x,z)|$

Show that $\sup\{x\in\mathbb{Q}: x>0,x^2<2\}=\sqrt{2}$.

maximum of ${\sum\limits_{i = 1}^n {{a_i}x_i^m} }\left({\sum\limits_{i = 1}^n {{a_i}x_i^{m - 1}} }\right)^{-1}$, ${a_i} > 0,{x_i} \ge 1, m \ge 1$

A multiple choice question on a function

Does $(f^{0})^{0} = f$ hold for suplattice homomorphisms?

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