List questions from continuity

Published on 26 Mar 2026 - 18:56

78

Views

Proving that $f(x)=x^2$ is uniformly continuous on any closed interval, but not on $\mathbb{R}$

Published on 25 Mar 2026 - 8:10

47

Views

Showing Continuity and Differentiability for Sinusoidal Functions

Published on 20 Apr 2018 - 7:17

186

Views

If the kernel of a seminorm $p$ is closed, is $p$ then continuous?

Published on 28 Mar 2026 - 0:30

72

Views

"Recursively" expressing continuous-time trajectories

Published on 22 Mar 2026 - 18:33

87

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Conditions for a bivariate function to be bounded?

Published on 25 Mar 2026 - 15:45

158

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Continuous function from set to proper subset is a contraction

Published on 22 Mar 2026 - 13:34

30

Views

Proof Verification: A theorem on continuity

Published on 21 Apr 2018 - 14:51

1.2k

Views

Does "unbounded" necessarily imply "goes to infinity"?

Published on 23 Mar 2026 - 11:52

367

Views

Is $f': C^1[0,1] \to C[0,1]$ continuous?

Published on 22 Apr 2018 - 0:06

283

Views

Proof of coercivity and compactness of a continuous function using contradiction?

Published on 27 Mar 2026 - 23:31

25

Views

How to prove local inequalities around zeros of an ODE solution and its derivative?

Published on 22 Apr 2018 - 8:19

63

Views

Continuity of differential operator

Published on 28 Mar 2026 - 2:03

150

Views

Show that a projection is continuous by using a norm

Published on 27 Mar 2026 - 21:34

2.4k

Views

Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

Published on 31 Mar 2026 - 8:17

List Question

Construction of a cut-off function

Proving that $f(x)=x^2$ is uniformly continuous on any closed interval, but not on $\mathbb{R}$

Showing Continuity and Differentiability for Sinusoidal Functions

If the kernel of a seminorm $p$ is closed, is $p$ then continuous?

"Recursively" expressing continuous-time trajectories

Conditions for a bivariate function to be bounded?

Continuous function from set to proper subset is a contraction

Proof Verification: A theorem on continuity

Does "unbounded" necessarily imply "goes to infinity"?

Is $f': C^1[0,1] \to C[0,1]$ continuous?

Proof of coercivity and compactness of a continuous function using contradiction?

How to prove local inequalities around zeros of an ODE solution and its derivative?

Continuity of differential operator

Show that a projection is continuous by using a norm

Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

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