List questions from continuity

Published on 09 Apr 2026 - 11:10

691

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How to prove $\mathbf{M}/r$ is a continuously differentiable vector field?

Published on 26 Mar 2026 - 7:33

39

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Under what conditions are partial derivatives continuous?

Published on 25 Mar 2026 - 1:25

68

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Continuous adjoint of the one-dimensional Laplace equation

Published on 26 Mar 2026 - 13:57

151

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Trouble reading this proof of characterization of continuous mappings by open sets.

Published on 17 Mar 2019 - 1:32

31

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Probably dumb limit

Published on 23 Feb 2026 - 13:39

306

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continuity of the inverse in $0$ using "the pre image of an open set is open".

Published on 17 Mar 2019 - 21:33

195

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Suppose that f : [a, b] → R is continuous and that f([a, b]) ⊂ [a, b]. Prove that there exists a point c ∈ [a, b] satisfying f(c) = c.

Published on 06 Apr 2026 - 19:33

249

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Understanding proof of sequential continuity?

Published on 08 Apr 2026 - 17:47

35

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Uniform Bound on Infinitely Differentialble functions

Published on 18 Mar 2019 - 5:59

96

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Two different conclusions about continuity implying convergence of sequences - are both true?

Published on 18 Mar 2019 - 7:28

146

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Does the closest point on a subset change continuously?

Published on 25 Mar 2026 - 20:59

1.4k

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Sublevel sets of continuous functions are closed

Published on 18 Mar 2019 - 18:32

53

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Is convex , lower semicontinuous function with closed domain continuous relative to its domain?

Published on 04 Apr 2026 - 4:28

337

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Can continuous functions have removable discontinuities?

Published on 26 Mar 2026 - 21:25

List Question

Continuity of Linear Operator Between Hilbert Spaces

How to prove $\mathbf{M}/r$ is a continuously differentiable vector field?

Under what conditions are partial derivatives continuous?

Continuous adjoint of the one-dimensional Laplace equation

Trouble reading this proof of characterization of continuous mappings by open sets.

Probably dumb limit

continuity of the inverse in $0$ using "the pre image of an open set is open".

Suppose that f : [a, b] → R is continuous and that f([a, b]) ⊂ [a, b]. Prove that there exists a point c ∈ [a, b] satisfying f(c) = c.

Understanding proof of sequential continuity?

Uniform Bound on Infinitely Differentialble functions

Two different conclusions about continuity implying convergence of sequences - are both true?

Does the closest point on a subset change continuously?

Sublevel sets of continuous functions are closed

Is convex , lower semicontinuous function with closed domain continuous relative to its domain?

Can continuous functions have removable discontinuities?

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