Question

Give an example of function that satisfies this theorem?

score 66 · Answer 1 · 2026-03-26 04:30:17

66

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Give an example of function that satisfies this theorem?

Published on 26 Mar 2026 - 4:30

score 96 · Answer 2 · 2026-04-07 12:51:44

96

Views

Prove that $g(x) = \inf_{y \in Y}\{f(y) + k|x-y|\}$ is $k$-lipschitz

Published on 07 Apr 2026 - 12:51

score 28 · Answer 3 · 2026-03-29 20:04:33

28

Views

''Essentially discontinuous'' function on $G=(-1,1)^2$ in $W^{1,2}_0(G)$

Published on 29 Mar 2026 - 20:04

score 250 · Answer 4 · 2019-04-04 05:09:36

250

Views

Is the function $\frac{\sin{x}}{x}$ continuous at $x=0$?

Published on 04 Apr 2019 - 5:09

score 946 · Answer 5 · 2026-04-10 11:04:46

946

Views

Proving that a function is discontinuous using sequential definition

Published on 10 Apr 2026 - 11:04

score 1.3k · Answer 6 · 2026-04-11 16:13:09

1.3k

Views

Is function continuous if preimage of every open interval is open?

Published on 11 Apr 2026 - 16:13

score 80 · Answer 7 · 2026-03-26 06:10:32

80

Views

A continuous function is one to one only if it is strictly monotone

Published on 26 Mar 2026 - 6:10

score 104 · Answer 8 · 2019-04-05 15:27:57

104

Views

Prove that if $\phi(x) = \int_{0}^{g(x)} f(t) \;dt$ is continuous then $g$ is continuous

Published on 05 Apr 2019 - 15:27

score 39 · Answer 9 · 2026-03-25 06:03:27

39

Views

Counter example on continuity of blow-up time with respect to parameters

Published on 25 Mar 2026 - 6:03

score 1.7k · Answer 10 · 2026-04-11 10:53:10

1.7k

Views

Finding orthonormal basis of subspace spanned by two functions

Published on 11 Apr 2026 - 10:53

score 3.6k · Answer 11 · 2026-03-27 14:02:25

3.6k

Views

Give an example of a function that is bounded and continuous on the interval [0, 1) but not uniformly continuous on this interval.

Published on 27 Mar 2026 - 14:02

score 594 · Answer 12 · 2026-04-10 23:58:08

594

Views

Why do we need continuity for convergence in distribution?

Published on 10 Apr 2026 - 23:58

score 68 · Answer 13 · 2026-03-26 11:06:16

68

Views

Proving a sequence is Cauchy from uniform continuity

Published on 26 Mar 2026 - 11:06

score 69 · Answer 14 · 2019-04-06 10:45:02

69

Views

Uniform continuity and inverse images

Published on 06 Apr 2019 - 10:45

score 87 · Answer 15 · 2019-04-06 10:45:38

87

Views

Determine the values for a for which $g$ is continuous & differentiable at all $x$ whereas $g(x)=(a+|x|)^2 e^{(5-|x|)^2}.$

Published on 06 Apr 2019 - 10:45

List Question

Give an example of function that satisfies this theorem?

Prove that $g(x) = \inf_{y \in Y}\{f(y) + k|x-y|\}$ is $k$-lipschitz

''Essentially discontinuous'' function on $G=(-1,1)^2$ in $W^{1,2}_0(G)$

Is the function $\frac{\sin{x}}{x}$ continuous at $x=0$?

Proving that a function is discontinuous using sequential definition

Is function continuous if preimage of every open interval is open?

A continuous function is one to one only if it is strictly monotone

Prove that if $\phi(x) = \int_{0}^{g(x)} f(t) \;dt$ is continuous then $g$ is continuous

Counter example on continuity of blow-up time with respect to parameters

Finding orthonormal basis of subspace spanned by two functions

Give an example of a function that is bounded and continuous on the interval [0, 1) but not uniformly continuous on this interval.

Why do we need continuity for convergence in distribution?

Proving a sequence is Cauchy from uniform continuity

Uniform continuity and inverse images

Determine the values for a for which $g$ is continuous & differentiable at all $x$ whereas $g(x)=(a+|x|)^2 e^{(5-|x|)^2}.$

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