List questions from inverse-function

Published on 05 Feb 2020 - 7:29

66

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$f(G)$ of $f(x,y):= \begin{pmatrix} e^x \cos y \\ e^x \sin y \end{pmatrix} $ with $G = \mathbb{R} \times (-\pi, \pi)$

Published on 26 Mar 2026 - 4:53

152

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Generalized left (right) inverse of a function

Published on 08 Feb 2020 - 9:44

71

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$T_{\varepsilon} = Id + \varepsilon T$ is an isomorphism for some $\varepsilon$

Published on 25 Mar 2026 - 17:53

40

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Inverse of $f(x,y)$

Published on 10 Feb 2020 - 9:52

313

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What is the authoritative consensus on ambiguous notation of $\sin^{-1}(x) = \arcsin(x)$ vs. $\sin^{-1}(x) = \csc(x)$?

Published on 11 Feb 2020 - 10:55

97

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Let $G$ be a group. Consider $G\to G, z\mapsto xzx^{-1}$. Is this injective? Is it surjective?

Published on 13 Feb 2020 - 23:48

39

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How can solving for $u$ to obtain the inverse function be completed here?

Published on 14 Feb 2020 - 0:16

53

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How to find the inverse function of a logarithm?

Published on 15 Feb 2020 - 13:21

67

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Reciprocal of Quadratic Equation

Published on 25 Mar 2026 - 9:37

266

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First-order non-linear differential equation and transcendental equation

Published on 25 Mar 2026 - 15:47

1.7k

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Composition Proof

Published on 27 Mar 2026 - 19:27

39

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How do I get the inverse of this equation?

Published on 20 Feb 2020 - 23:50

116

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If $f\circ g = g\circ f$ then $f = g$?

Published on 21 Feb 2020 - 0:37

421

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How do we know that is not possible to invert $x=t+\cos t$ analytically?

Published on 23 Feb 2020 - 1:49

List Question

Proving $(f^{-1}(x))'\cdot f'(f^{-1}(x))\equiv 1$

$f(G)$ of $f(x,y):= \begin{pmatrix} e^x \cos y \\ e^x \sin y \end{pmatrix} $ with $G = \mathbb{R} \times (-\pi, \pi)$

Generalized left (right) inverse of a function

$T_{\varepsilon} = Id + \varepsilon T$ is an isomorphism for some $\varepsilon$

Inverse of $f(x,y)$

What is the authoritative consensus on ambiguous notation of $\sin^{-1}(x) = \arcsin(x)$ vs. $\sin^{-1}(x) = \csc(x)$?

Let $G$ be a group. Consider $G\to G, z\mapsto xzx^{-1}$. Is this injective? Is it surjective?

How can solving for $u$ to obtain the inverse function be completed here?

How to find the inverse function of a logarithm?

Reciprocal of Quadratic Equation

First-order non-linear differential equation and transcendental equation

Composition Proof

How do I get the inverse of this equation?

If $f\circ g = g\circ f$ then $f = g$?

How do we know that is not possible to invert $x=t+\cos t$ analytically?

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