Question

Construct a function that is its own inverse from other functions and their inverse

score 27 · Answer 1 · 2023-12-06 21:16:45

27

Views

Construct a function that is its own inverse from other functions and their inverse

Published on 06 Dec 2023 - 21:16

score 36 · Answer 2 · 2026-02-24 07:02:12

36

Views

Series reversion using reciprocal sum recursion confusion

Published on 24 Feb 2026 - 7:02

score 228 · Answer 3 · 2023-12-12 13:24:55

228

Views

An idea for this difficult integral

Published on 12 Dec 2023 - 13:24

score 38 · Answer 4 · 2023-12-13 23:47:48

38

Views

About the Lacunary $f(z)$ such that $f(z) = b^{-1}(a(z)), a(z) = \sum_{0<n} \frac{x^{n^2}}{(4n)!} , b(z) = \sum_{0<n} \frac{x^{n^2}}{(4n+3)!}$?

Published on 13 Dec 2023 - 23:47

score 203 · Answer 5 · 2023-12-14 09:29:52

203

Views

Explicit inverse of $x\mapsto\frac{1}{\alpha} (x+1)^{\frac{\alpha - 1}{\alpha}} | x - 1 |^{\frac{1}{\alpha}} \frac{\alpha(x - 1) + 2}{(x- 1)(x + 1)}$

Published on 14 Dec 2023 - 9:29

score 18 · Answer 6 · 2026-03-19 20:39:13

18

Views

IF $\Psi(x) = \inf_{0 \leq s \leq t} \Phi_s(x)$,can we have $\Psi^{-1}(x) = \sup_{0 \leq s \leq t} \Phi_s^{-1}(x)$?

Published on 19 Mar 2026 - 20:39

score 19 · Answer 7 · 2026-03-26 13:02:15

19

Views

Confused about a step of the proof of the inverse function theorem for differentiable, non $C^1$ mappings.

Published on 26 Mar 2026 - 13:02

score 74 · Answer 8 · 2026-03-30 05:15:27

74

Views

Is it possible to cancel out the nested $\arccos$ inside the $\cos$ and $\sin$ in this expression?

Published on 30 Mar 2026 - 5:15

score 40 · Answer 9 · 2026-03-26 17:37:34

40

Views

Given $\operatorname E(x,2)=a\implies x=f(a)$, what is the solution for $\operatorname E(x,2)=ia$ with elliptic integral of the second kind?

Published on 26 Mar 2026 - 17:37

score 67 · Answer 10 · 2024-01-05 13:49:40

67

Views

inverse function of series

Published on 05 Jan 2024 - 13:49

score 552 · Answer 11 · 2026-03-25 20:13:49

552

Views

Simplify/re-express a potential expression for the inverse of $\frac{\sinh(x)}x$

Published on 25 Mar 2026 - 20:13

score 44 · Answer 12 · 2024-01-08 10:13:05

44

Views

finding the inverse of a function between quotients, and finding if it is injective and surjective

Published on 08 Jan 2024 - 10:13

score 83 · Answer 13 · 2024-01-14 10:54:21

83

Views

If $(f(x)-x)f''(x)>0$ , then $f(x)=f^{-1}(x)$ has no solution.

Published on 14 Jan 2024 - 10:54

score 54 · Answer 14 · 2024-01-15 17:13:39

54

Views

Find the domain of $\frac{\cos^{-1}\left(\frac{x^2-5x+6}{x^2-9}\right)}{\ln\left(x^2-3x+2\right)}$

Published on 15 Jan 2024 - 17:13

score 45 · Answer 15 · 2024-01-16 15:30:30

45

Views

Is there a closed-form inverse of the Birthday Problem equation over the interval $1 < k < n + 1$?

Published on 16 Jan 2024 - 15:30

List Question

Construct a function that is its own inverse from other functions and their inverse

Series reversion using reciprocal sum recursion confusion

An idea for this difficult integral

About the Lacunary $f(z)$ such that $f(z) = b^{-1}(a(z)), a(z) = \sum_{0<n} \frac{x^{n^2}}{(4n)!} , b(z) = \sum_{0<n} \frac{x^{n^2}}{(4n+3)!}$?

Explicit inverse of $x\mapsto\frac{1}{\alpha} (x+1)^{\frac{\alpha - 1}{\alpha}} | x - 1 |^{\frac{1}{\alpha}} \frac{\alpha(x - 1) + 2}{(x- 1)(x + 1)}$

IF $\Psi(x) = \inf_{0 \leq s \leq t} \Phi_s(x)$,can we have $\Psi^{-1}(x) = \sup_{0 \leq s \leq t} \Phi_s^{-1}(x)$?

Confused about a step of the proof of the inverse function theorem for differentiable, non $C^1$ mappings.

Is it possible to cancel out the nested $\arccos$ inside the $\cos$ and $\sin$ in this expression?

Given $\operatorname E(x,2)=a\implies x=f(a)$, what is the solution for $\operatorname E(x,2)=ia$ with elliptic integral of the second kind?

inverse function of series

Simplify/re-express a potential expression for the inverse of $\frac{\sinh(x)}x$

finding the inverse of a function between quotients, and finding if it is injective and surjective

If $(f(x)-x)f''(x)>0$ , then $f(x)=f^{-1}(x)$ has no solution.

Find the domain of $\frac{\cos^{-1}\left(\frac{x^2-5x+6}{x^2-9}\right)}{\ln\left(x^2-3x+2\right)}$

Is there a closed-form inverse of the Birthday Problem equation over the interval $1 < k < n + 1$?

Trending Questions

Popular # Hahtags

Popular Questions