List questions from analysis

Published on 26 Mar 2026 - 3:00

368

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Uniqueness of Derivative on $ ℝ^2$

Published on 27 Mar 2026 - 5:45

19

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To prove a sequence is convergent

Published on 31 Jan 2018 - 6:25

243

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Mean value theorem on open interval

Published on 31 Jan 2018 - 12:01

403

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Showing that a subset is dense in a separable metric space

Published on 27 Mar 2026 - 20:27

89

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Another version of mean value theorem

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78

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The error when we rounding down and sum in $\sum_i \lfloor n/i \rfloor$ vs. $\sum_i n/i$.

Published on 01 Apr 2026 - 1:27

84

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If $f$ and $g$ are bounded on $[a,b]$, prove that $\rVert f+g \lVert_u \leq \lVert f \rVert_u + \lVert g \rVert_u$

Published on 31 Jan 2018 - 15:41

72

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limitof the series $\sum_{k=2}^{\infty}{\frac{2^{k+1}+3^k}{4^{k-1}}}$

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99

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Alternative conditions for a function $\phi:S_g\rightarrow S_g$ to be homotopic to identity

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125

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Radius of convergence of $\sum_{n=1}^\infty n!\left(\frac{z^n}{n}\right)^n$

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1.1k

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proof of continuity of coordinate functions (Rudin)

Published on 29 Mar 2026 - 15:02

35

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Existence of a normalized vector, far from proper closed subspace.

Published on 25 Mar 2026 - 7:15

78

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Differential operator is linear

Published on 01 Feb 2018 - 3:25

895

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How to prove that $C=\{x: Ax\le 0\}$ has at most one extreme point?

Published on 24 Mar 2026 - 23:46

List Question

"Backwards-circulant" matrices. Can we model their eigensystem?

Uniqueness of Derivative on $ ℝ^2$

To prove a sequence is convergent

Mean value theorem on open interval

Showing that a subset is dense in a separable metric space

Another version of mean value theorem

The error when we rounding down and sum in $\sum_i \lfloor n/i \rfloor$ vs. $\sum_i n/i$.

If $f$ and $g$ are bounded on $[a,b]$, prove that $\rVert f+g \lVert_u \leq \lVert f \rVert_u + \lVert g \rVert_u$

limitof the series $\sum_{k=2}^{\infty}{\frac{2^{k+1}+3^k}{4^{k-1}}}$

Alternative conditions for a function $\phi:S_g\rightarrow S_g$ to be homotopic to identity

Radius of convergence of $\sum_{n=1}^\infty n!\left(\frac{z^n}{n}\right)^n$

proof of continuity of coordinate functions (Rudin)

Existence of a normalized vector, far from proper closed subspace.

Differential operator is linear

How to prove that $C=\{x: Ax\le 0\}$ has at most one extreme point?

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