Question

Prove that $f:X\rightarrow\Bbb{R}$ is uniformly continuous iff it maps equivalent sequences onto equivalent sequences

score 69 · Answer 1 · 2026-03-29 17:24:44

69

Views

Prove that $f:X\rightarrow\Bbb{R}$ is uniformly continuous iff it maps equivalent sequences onto equivalent sequences

Published on 29 Mar 2026 - 17:24

score 272 · Answer 2 · 2026-03-25 12:50:13

272

Views

If the region $D$ is revolved about the $z$-axis in $ℝ^3$, then the volume of the resulting solid is

Published on 25 Mar 2026 - 12:50

score 37 · Answer 3 · 2020-05-13 05:49:45

37

Views

If f is injective then $f•f^{-1}(y)=y$ for all $y\in R(f)$

Published on 13 May 2020 - 5:49

score 300 · Answer 4 · 2020-05-13 07:18:17

300

Views

there exists no bijective map $f :$ $\mathbb R^{2} \to R^{3}$ such that $f$ and $f^{-1}$ is differentiable

Published on 13 May 2020 - 7:18

score 1.2k · Answer 5 · 2026-03-26 01:11:54

1.2k

Views

Show that there exists a rectangle such that each of its four vertices are of same colour and its sides are parallel to the X and Y axes.

Published on 26 Mar 2026 - 1:11

score 61 · Answer 6 · 2026-04-12 09:56:44

61

Views

Induction Proof Clarification

Published on 12 Apr 2026 - 9:56

score 107 · Answer 7 · 2026-03-26 01:12:01

107

Views

Show that there exist distinct positive integers $a,b,c,d$ such that all of these three conditions are satisfied simultaneously.

Published on 26 Mar 2026 - 1:12

score 188 · Answer 8 · 2026-04-12 23:07:04

188

Views

$\mathbf{A}^T = p(\mathbf{A})$, prove that $\mathbf{A}$ is invertible

Published on 12 Apr 2026 - 23:07

score 33 · Answer 9 · 2026-04-08 17:30:35

33

Views

Properties of Degrees of Extensions

Published on 08 Apr 2026 - 17:30

score 61 · Answer 10 · 2020-05-13 18:18:39

61

Views

Prove an identity of integral equations

Published on 13 May 2020 - 18:18

score 41 · Answer 11 · 2026-04-10 14:21:43

41

Views

Finding holomorphic function such that $|f|$ tends to $0$ as $|z|$ tends to $\infty$

Published on 10 Apr 2026 - 14:21

score 50 · Answer 12 · 2020-05-13 20:16:06

50

Views

Summation notation for $13+24+35+...+4042$

Published on 13 May 2020 - 20:16

score 328 · Answer 13 · 2020-05-13 22:51:00

328

Views

If $(a_{2k})$m $(a_{2k+1})$ and $(a_{3k})$ converge, then $(a_n)$ converge

Published on 13 May 2020 - 22:51

score 26 · Answer 14 · 2026-04-08 23:50:44

26

Views

Proof of linear time-invariant system output

Published on 08 Apr 2026 - 23:50

score 137 · Answer 15 · 2026-04-13 01:41:50

137

Views

You flip a coin four times. First flip is heads. What are the chances that at least three of the four flips will be heads?

Published on 13 Apr 2026 - 1:41

List Question

Prove that $f:X\rightarrow\Bbb{R}$ is uniformly continuous iff it maps equivalent sequences onto equivalent sequences

If the region $D$ is revolved about the $z$-axis in $ℝ^3$, then the volume of the resulting solid is

If f is injective then $f•f^{-1}(y)=y$ for all $y\in R(f)$

there exists no bijective map $f :$ $\mathbb R^{2} \to R^{3}$ such that $f$ and $f^{-1}$ is differentiable

Show that there exists a rectangle such that each of its four vertices are of same colour and its sides are parallel to the X and Y axes.

Induction Proof Clarification

Show that there exist distinct positive integers $a,b,c,d$ such that all of these three conditions are satisfied simultaneously.

$\mathbf{A}^T = p(\mathbf{A})$, prove that $\mathbf{A}$ is invertible

Properties of Degrees of Extensions

Prove an identity of integral equations

Finding holomorphic function such that $|f|$ tends to $0$ as $|z|$ tends to $\infty$

Summation notation for $13+24+35+...+4042$

If $(a_{2k})$m $(a_{2k+1})$ and $(a_{3k})$ converge, then $(a_n)$ converge

Proof of linear time-invariant system output

You flip a coin four times. First flip is heads. What are the chances that at least three of the four flips will be heads?

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