List questions from analysis

Published on 13 Apr 2026 - 5:33

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Inverse continuity of continuous functions near local minima

Published on 31 Mar 2026 - 9:43

73

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Is this differential form $\overline{\partial}$ exact?

Published on 12 Apr 2026 - 20:16

106

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Cauchy sequence Convergence on real numbers

Published on 25 Mar 2026 - 4:36

409

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Understanding Analysis (Abbott) Lemma 1.3.7; is my proof correct?

Published on 01 Apr 2026 - 9:09

64

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If $f(x)$ is convex on $[a,b]$, show $h(x) = \frac{f(x) - f(a)}{x - a}$ is increasing

Published on 25 Apr 2018 - 1:31

40

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Show that $\operatorname{vol_n}(I)\le\sum_{k=1}^m\operatorname{vol_n}(J_k)$

Published on 25 Mar 2026 - 4:43

27

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Radius of convergence of $f(z)$

Published on 25 Apr 2018 - 8:51

49

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If $a\ge 1$ and $0<r<1$ rational, then $a^r-1\le ra(a-1)$

Published on 02 Apr 2026 - 22:11

50

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Notation for the domain of $f(\mathbf x,\mathbf y)$?

Published on 13 Apr 2026 - 1:48

1.2k

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Evaluate the integral $\int_{-\infty}^{\infty} e^{-x^2} e^{ix} dx$

Published on 30 Mar 2026 - 12:13

108

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About Picard's little theorem

Published on 10 Apr 2026 - 20:19

347

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Abbott; Understanding Analysis; Exercise 1.3.4 Proof Check

Published on 12 Apr 2026 - 4:34

252

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Are there any other fields other than $\mathbb{R},\mathbb{C}$, rich enough to have analysis built on them?

Published on 12 Apr 2026 - 15:05

53

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Inequality of $(|a|^{\ell-2}a- |b|^{\ell-2}b\Big)(a-b) $

Published on 25 Apr 2018 - 18:51

List Question

Convergence of sequences in the discrete topology

Inverse continuity of continuous functions near local minima

Is this differential form $\overline{\partial}$ exact?

Cauchy sequence Convergence on real numbers

Understanding Analysis (Abbott) Lemma 1.3.7; is my proof correct?

If $f(x)$ is convex on $[a,b]$, show $h(x) = \frac{f(x) - f(a)}{x - a}$ is increasing

Show that $\operatorname{vol_n}(I)\le\sum_{k=1}^m\operatorname{vol_n}(J_k)$

Radius of convergence of $f(z)$

If $a\ge 1$ and $0<r<1$ rational, then $a^r-1\le ra(a-1)$

Notation for the domain of $f(\mathbf x,\mathbf y)$?

Evaluate the integral $\int_{-\infty}^{\infty} e^{-x^2} e^{ix} dx$

About Picard's little theorem

Abbott; Understanding Analysis; Exercise 1.3.4 Proof Check

Are there any other fields other than $\mathbb{R},\mathbb{C}$, rich enough to have analysis built on them?

Inequality of $(|a|^{\ell-2}a- |b|^{\ell-2}b\Big)(a-b) $

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