Question

Help me understand this proof of Implicit Function Theorem on Banach spaces

score 1.5k · Answer 1 · 2026-04-01 07:53:42

1.5k

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Help me understand this proof of Implicit Function Theorem on Banach spaces

Published on 01 Apr 2026 - 7:53

score 66 · Answer 2 · 2026-03-25 04:42:36

66

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Series Convergence of $ \sum_{n=1}^{\infty}\frac{1}{n}\int_{0}^{1}f(x)e^{-nx}dx$

Published on 25 Mar 2026 - 4:42

score 150 · Answer 3 · 2026-04-06 02:56:45

150

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Evaluating $\int_{\mathbb{R}}e^{-(x+iy)^2}dx$? For a fixed $y \in \mathbb{R}$,

Published on 06 Apr 2026 - 2:56

score 1.1k · Answer 4 · 2026-03-25 14:37:01

1.1k

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$\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin)

Published on 25 Mar 2026 - 14:37

score 178 · Answer 5 · 2026-04-01 05:06:24

178

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Showing that a limit point $L$ of $(x^{(n)})^∞_{n=m}$ and a subsequence of $(x^{(n)})^∞_{n=m}$ which converges to L are equal

Published on 01 Apr 2026 - 5:06

score 68 · Answer 6 · 2026-03-29 04:09:36

68

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"Classical inequality" regarding the Bessel potential space $H^{-1}$

Published on 29 Mar 2026 - 4:09

score 720 · Answer 7 · 2026-03-31 20:08:14

720

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How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Published on 31 Mar 2026 - 20:08

score 121 · Answer 8 · 2026-04-05 19:48:08

121

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Limits of power of fractions

Published on 05 Apr 2026 - 19:48

score 235 · Answer 9 · 2026-03-26 12:40:40

235

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There is some general meaning of angle in geometry?

Published on 26 Mar 2026 - 12:40

score 198 · Answer 10 · 2026-04-05 23:30:46

198

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Question in Schwarzian Derivative

Published on 05 Apr 2026 - 23:30

score 505 · Answer 11 · 2026-04-01 05:06:43

505

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If $L$ is a limit point of the sequence $(x^{(n)})^∞_{n=m}$, then $L$ is an adherent point of the set $\{x^{(n)}:n\ge m\}$.

Published on 01 Apr 2026 - 5:06

score 99 · Answer 12 · 2026-03-25 12:17:07

99

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When can one write $f(x,y)$ as $|g(x)-g(y)|_2^2$ for some $g(\cdot)$?

Published on 25 Mar 2026 - 12:17

score 605 · Answer 13 · 2026-04-02 05:04:08

605

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Is function is uniformly continuous on $\mathbb{R}$ then it is uniformly continuous on subset of $\mathbb{R}$?

Published on 02 Apr 2026 - 5:04

score 128 · Answer 14 · 2026-04-02 04:47:06

128

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How fast does the sequence $b_{n+1}=b_n+\frac{1}{b_n}$ grow?

Published on 02 Apr 2026 - 4:47

score 105 · Answer 15 · 2018-01-25 06:47:25

105

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Question about approximation of straight line

Published on 25 Jan 2018 - 6:47

List Question

Help me understand this proof of Implicit Function Theorem on Banach spaces

Series Convergence of $ \sum_{n=1}^{\infty}\frac{1}{n}\int_{0}^{1}f(x)e^{-nx}dx$

Evaluating $\int_{\mathbb{R}}e^{-(x+iy)^2}dx$? For a fixed $y \in \mathbb{R}$,

$\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin)

Showing that a limit point $L$ of $(x^{(n)})^∞_{n=m}$ and a subsequence of $(x^{(n)})^∞_{n=m}$ which converges to L are equal

"Classical inequality" regarding the Bessel potential space $H^{-1}$

How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Limits of power of fractions

There is some general meaning of angle in geometry?

Question in Schwarzian Derivative

If $L$ is a limit point of the sequence $(x^{(n)})^∞_{n=m}$, then $L$ is an adherent point of the set $\{x^{(n)}:n\ge m\}$.

When can one write $f(x,y)$ as $|g(x)-g(y)|_2^2$ for some $g(\cdot)$?

Is function is uniformly continuous on $\mathbb{R}$ then it is uniformly continuous on subset of $\mathbb{R}$?

How fast does the sequence $b_{n+1}=b_n+\frac{1}{b_n}$ grow?

Question about approximation of straight line

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