Question

Can a Function Mapping into a Higher Order Domain be Continuous?

score 21 · Answer 1 · 2026-04-09 16:02:44

21

Views

Can a Function Mapping into a Higher Order Domain be Continuous?

Published on 09 Apr 2026 - 16:02

score 24 · Answer 2 · 2026-04-11 22:43:25

24

Views

Show that a particular equation has a unique solution

Published on 11 Apr 2026 - 22:43

score 91 · Answer 3 · 2019-05-01 13:01:23

91

Views

Continuity of $f(x)$ on $[a,b]$ implies continuity of $f(t) = \displaystyle \min_{a \leq x \leq t}f(x)$ at [a,b].

Published on 01 May 2019 - 13:01

score 80 · Answer 4 · 2026-04-10 18:46:24

80

Views

Confusion in the proof of Rouché's theorem (joint continuity part)

Published on 10 Apr 2026 - 18:46

score 111 · Answer 5 · 2019-05-02 03:49:34

111

Views

Prove that $inf(S_1)=sup(S_2)$

Published on 02 May 2019 - 3:49

score 107 · Answer 6 · 2026-03-31 20:59:40

107

Views

$f:X\rightarrow Y$, with $Y$ compact, is continuous $\Rightarrow$ its graph is closed

Published on 31 Mar 2026 - 20:59

score 102 · Answer 7 · 2026-04-12 01:58:45

102

Views

Is the set of isolated zeros of a continuous function closed?

Published on 12 Apr 2026 - 1:58

score 54 · Answer 8 · 2026-04-11 04:55:38

54

Views

Unraveling a tangle

Published on 11 Apr 2026 - 4:55

score 107 · Answer 9 · 2026-03-26 14:22:52

107

Views

Define a sequence $\{y_n\}$ by $y_{2n-1}=x_n$ and $y_{2n}=x$. Which of the following are true?

Published on 26 Mar 2026 - 14:22

score 171 · Answer 10 · 2026-04-10 22:57:12

171

Views

Is the function $F(w) = \int_{\mathbb{R}^2}g(z)f(w-z)dz$ continuous?

Published on 10 Apr 2026 - 22:57

score 68 · Answer 11 · 2019-05-03 17:13:29

68

Views

If the inverse image of a set is open then is the set open?

Published on 03 May 2019 - 17:13

score 22 · Answer 12 · 2026-04-02 19:20:36

22

Views

Closedness of $Q^3=\{(x,t)\in\mathbb{R}^2\times\mathbb{R}:\|x\|_2\leq t\}$

Published on 02 Apr 2026 - 19:20

score 29 · Answer 13 · 2019-05-04 06:21:43

29

Views

Find all $a$'s such that $\lim_{(x,y)\to (0,0)} x^4(y-1)\ln\big(1+\frac{1}{x^2+y^2}\big)+ a \frac{\sin(x)y^{3/2}}{(\sqrt{x^2+y^2})^3} = 0$

Published on 04 May 2019 - 6:21

score 1.2k · Answer 14 · 2026-04-12 01:46:36

1.2k

Views

Prove a function is Hölder continuous but not Lipschitz continuous

Published on 12 Apr 2026 - 1:46

score 214 · Answer 15 · 2026-03-25 05:59:46

214

Views

What is the relation between linear, continuous, bounded and compact operators?

Published on 25 Mar 2026 - 5:59

List Question

Can a Function Mapping into a Higher Order Domain be Continuous?

Show that a particular equation has a unique solution

Continuity of $f(x)$ on $[a,b]$ implies continuity of $f(t) = \displaystyle \min_{a \leq x \leq t}f(x)$ at [a,b].

Confusion in the proof of Rouché's theorem (joint continuity part)

Prove that $inf(S_1)=sup(S_2)$

$f:X\rightarrow Y$, with $Y$ compact, is continuous $\Rightarrow$ its graph is closed

Is the set of isolated zeros of a continuous function closed?

Unraveling a tangle

Define a sequence $\{y_n\}$ by $y_{2n-1}=x_n$ and $y_{2n}=x$. Which of the following are true?

Is the function $F(w) = \int_{\mathbb{R}^2}g(z)f(w-z)dz$ continuous?

If the inverse image of a set is open then is the set open?

Closedness of $Q^3=\{(x,t)\in\mathbb{R}^2\times\mathbb{R}:\|x\|_2\leq t\}$

Find all $a$'s such that $\lim_{(x,y)\to (0,0)} x^4(y-1)\ln\big(1+\frac{1}{x^2+y^2}\big)+ a \frac{\sin(x)y^{3/2}}{(\sqrt{x^2+y^2})^3} = 0$

Prove a function is Hölder continuous but not Lipschitz continuous

What is the relation between linear, continuous, bounded and compact operators?

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