Question

Implicit Function Theorem and coordinate systems near a level set of a function

score 300 · Answer 1 · 2026-03-25 08:03:56

300

Views

Implicit Function Theorem and coordinate systems near a level set of a function

Published on 25 Mar 2026 - 8:03

score 240 · Answer 2 · 2018-03-22 20:37:10

240

Views

Derivatives and infimum/minimum of function

Published on 22 Mar 2018 - 20:37

score 47 · Answer 3 · 2026-04-10 23:40:22

47

Views

Upper bound for limsup

Published on 10 Apr 2026 - 23:40

score 502 · Answer 4 · 2026-04-10 17:52:05

502

Views

Adjoint of the diagonal operator

Published on 10 Apr 2026 - 17:52

score 155 · Answer 5 · 2026-03-30 14:11:17

155

Views

Prove that in $\mathbb{R}^n$, if $B_r(x) = B_s(y)$, then $x = y$ and $r = s$.

Published on 30 Mar 2026 - 14:11

score 88 · Answer 6 · 2026-03-26 14:32:01

88

Views

How to prove that $\int_{0}^{\infty}\frac{t}{x^2+t^2}\cos(ax)dx=\frac{\pi}{2}e^{-at}$.

Published on 26 Mar 2026 - 14:32

score 526 · Answer 7 · 2026-03-29 19:17:40

526

Views

Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Published on 29 Mar 2026 - 19:17

score 694 · Answer 8 · 2026-03-29 18:14:40

694

Views

Prob. 7, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Published on 29 Mar 2026 - 18:14

score 176 · Answer 9 · 2018-03-23 11:07:57

176

Views

Can we define a norm such that the space of all sequences is a Hilbert space?

Published on 23 Mar 2018 - 11:07

score 519 · Answer 10 · 2026-03-29 18:14:38

519

Views

Prob. 10, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Published on 29 Mar 2026 - 18:14

score 85 · Answer 11 · 2018-03-23 12:11:36

85

Views

limit with a parametrical integral $ \lim_{n \to \infty} n^2 \int_{0}^{\infty} \frac{sin(x)}{(1 + x)^n} dx $

Published on 23 Mar 2018 - 12:11

score 70 · Answer 12 · 2026-04-06 03:47:30

70

Views

A property for real valued functions

Published on 06 Apr 2026 - 3:47

score 29 · Answer 13 · 2026-04-10 22:23:54

29

Views

Continuity of finite number of functions

Published on 10 Apr 2026 - 22:23

score 391 · Answer 14 · 2018-03-23 15:26:06

391

Views

Suppose that every sequence in A has a convergent sub-sequence. Prove that A is bounded.

Published on 23 Mar 2018 - 15:26

score 40 · Answer 15 · 2018-03-23 16:31:51

40

Views

Suppose that for every sequence $s_n$ in A, the limit of $s_n$ is in A. Show that A must be closed.

Published on 23 Mar 2018 - 16:31

List Question

Implicit Function Theorem and coordinate systems near a level set of a function

Derivatives and infimum/minimum of function

Upper bound for limsup

Adjoint of the diagonal operator

Prove that in $\mathbb{R}^n$, if $B_r(x) = B_s(y)$, then $x = y$ and $r = s$.

How to prove that $\int_{0}^{\infty}\frac{t}{x^2+t^2}\cos(ax)dx=\frac{\pi}{2}e^{-at}$.

Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Prob. 7, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Can we define a norm such that the space of all sequences is a Hilbert space?

Prob. 10, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

limit with a parametrical integral $ \lim_{n \to \infty} n^2 \int_{0}^{\infty} \frac{sin(x)}{(1 + x)^n} dx $

A property for real valued functions

Continuity of finite number of functions

Suppose that every sequence in A has a convergent sub-sequence. Prove that A is bounded.

Suppose that for every sequence $s_n$ in A, the limit of $s_n$ is in A. Show that A must be closed.

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