Question

Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

score 264 · Answer 1 · 2018-06-19 13:37:57

264

Views

Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

Published on 19 Jun 2018 - 13:37

score 405 · Answer 2 · 2018-06-19 22:31:24

405

Views

Clarification needed with Rudin Theorem 1.11

Published on 19 Jun 2018 - 22:31

score 273 · Answer 3 · 2018-06-21 05:07:00

273

Views

Find the least upper bounds and the greatest lower bound of $A_2$ = {$\frac{n-1}{n+1}$ $\frac{cos 2n\pi}{3}$ :$ n\in \mathbb{N}$}

Published on 21 Jun 2018 - 5:07

score 114 · Answer 4 · 2018-06-21 06:22:08

114

Views

Show $\sup\{b^{-1/n}\} = 1$

Published on 21 Jun 2018 - 6:22

score 299 · Answer 5 · 2018-06-24 08:21:13

299

Views

How do I find supremum and infimum of the set : $\{x\in\Bbb R\mid \exp(-x^2) < 1/2\}$ without using graph?

Published on 24 Jun 2018 - 8:21

score 269 · Answer 6 · 2018-06-26 11:19:26

269

Views

Which of the following options are true for continuous function $f$ and $g$ in $[0,1]$?

Published on 26 Jun 2018 - 11:19

score 336 · Answer 7 · 2018-06-26 14:23:46

336

Views

Existence of unique solution to $x^2=c$ for $c$ positive

Published on 26 Jun 2018 - 14:23

score 56 · Answer 8 · 2018-06-28 17:14:49

56

Views

Is it true that: "For any subset S of R^3 and any p in R^3 - S, we have dist(p, S) = dist(p, bd(S))"?

Published on 28 Jun 2018 - 17:14

score 201 · Answer 9 · 2018-06-28 23:33:33

201

Views

Finding a supremum of a two variable function

Published on 28 Jun 2018 - 23:33

score 85 · Answer 10 · 2018-06-30 12:57:44

85

Views

A non-negative function that is bounded by its integral

Published on 30 Jun 2018 - 12:57

score 50 · Answer 11 · 2018-06-30 20:34:30

50

Views

Formal proof of $\sup \limits_{0<r} f(r) = \sup \limits_{0<R} \sup \limits_{0<r<R} f(r)$

Published on 30 Jun 2018 - 20:34

score 1.2k · Answer 12 · 2026-03-25 20:20:29

1.2k

Views

Infimum and supremum of subset of $\mathbb{R}^2$ with lexicographical order

Published on 25 Mar 2026 - 20:20

score 62 · Answer 13 · 2018-07-02 19:36:22

62

Views

max and min of $f(x,y)=e^{x-y}$

Published on 02 Jul 2018 - 19:36

score 59 · Answer 14 · 2018-07-05 11:54:17

59

Views

Calculate $\sup\{|x|^2+3|y|^2;\;\;(x,y)\in \mathbb{C}^2,\;|x|^2+|y|^2=1\}$

Published on 05 Jul 2018 - 11:54

score 2.8k · Answer 15 · 2018-07-06 00:05:56

2.8k

Views

If sup A $\lt$ sup B show that an element of $B$ is an upper bound of $A$

Published on 06 Jul 2018 - 0:05

List Question

Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

Clarification needed with Rudin Theorem 1.11

Find the least upper bounds and the greatest lower bound of $A_2$ = {$\frac{n-1}{n+1}$ $\frac{cos 2n\pi}{3}$ :$ n\in \mathbb{N}$}

Show $\sup\{b^{-1/n}\} = 1$

How do I find supremum and infimum of the set : $\{x\in\Bbb R\mid \exp(-x^2) < 1/2\}$ without using graph?

Which of the following options are true for continuous function $f$ and $g$ in $[0,1]$?

Existence of unique solution to $x^2=c$ for $c$ positive

Is it true that: "For any subset S of R^3 and any p in R^3 - S, we have dist(p, S) = dist(p, bd(S))"?

Finding a supremum of a two variable function

A non-negative function that is bounded by its integral

Formal proof of $\sup \limits_{0<r} f(r) = \sup \limits_{0<R} \sup \limits_{0<r<R} f(r)$

Infimum and supremum of subset of $\mathbb{R}^2$ with lexicographical order

max and min of $f(x,y)=e^{x-y}$

Calculate $\sup\{|x|^2+3|y|^2;\;\;(x,y)\in \mathbb{C}^2,\;|x|^2+|y|^2=1\}$

If sup A $\lt$ sup B show that an element of $B$ is an upper bound of $A$

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