Question

number of real solutions of $y^2+y=\sin(x)$ and $y+y^3=\cos^{-1}(\cos(x))$

score 532 · Answer 1 · 2026-04-16 09:41:09

532

Views

number of real solutions of $y^2+y=\sin(x)$ and $y+y^3=\cos^{-1}(\cos(x))$

Published on 16 Apr 2026 - 9:41

score 65 · Answer 2 · 2026-04-12 23:58:17

65

Views

Least squares with an idempotent matrix

Published on 12 Apr 2026 - 23:58

score 184 · Answer 3 · 2026-04-10 20:10:44

184

Views

Woodbury matrix identity to solve linear system

Published on 10 Apr 2026 - 20:10

score 497 · Answer 4 · 2026-04-11 13:10:33

497

Views

Does the inverse of this function exist?

Published on 11 Apr 2026 - 13:10

score 69 · Answer 5 · 2026-04-13 01:39:24

69

Views

Maximizing the inverse matrix

Published on 13 Apr 2026 - 1:39

score 190 · Answer 6 · 2026-04-16 19:26:59

190

Views

How $\int_{0}^{\infty} \frac{\arctan(x)}{1+x}\frac{dx}{\sqrt[4]{x}}=\frac{\pi}{\sqrt2}\big(\pi/2+\ln{\beta}\big)$

Published on 16 Apr 2026 - 19:26

score 214 · Answer 7 · 2026-04-16 23:30:20

214

Views

Show that: if $Cond_2(A)=1$ then $A=\alpha Q$; where $Q $ is an orthonormal matrix and $\alpha$ is a real number $\neq 0$

Published on 16 Apr 2026 - 23:30

score 80 · Answer 8 · 2026-04-14 23:37:03

80

Views

Given $(I+BB^T)^{-1}$ find the scaled inverse $(I+BDB^T)^{-1}$ fast.

Published on 14 Apr 2026 - 23:37

score 35 · Answer 9 · 2026-04-15 03:57:19

35

Views

Show that $ (\mathbf{1}_n-A)^{-1} = \displaystyle \sum_{l=0}^m A^l $ , how to approach that problem?

Published on 15 Apr 2026 - 3:57

score 105 · Answer 10 · 2026-04-14 22:28:10

105

Views

Fastest and accurate way to inverse 2 and 3 variate Vandermonde matrix

Published on 14 Apr 2026 - 22:28

score 182 · Answer 11 · 2026-04-15 09:58:29

182

Views

Almost every linear map $V\rightarrow V$ (in a certain affine subspace of such maps) is invertible

Published on 15 Apr 2026 - 9:58

score 135 · Answer 12 · 2026-04-17 02:49:36

135

Views

Exactly one right inverse implies invertible?

Published on 17 Apr 2026 - 2:49

score 243 · Answer 13 · 2026-03-25 10:56:59

243

Views

Proving that non-absorbing Markov States have steady state probability of $0$

Published on 25 Mar 2026 - 10:56

score 73 · Answer 14 · 2026-04-16 02:50:59

73

Views

Compute ($f^{-1})'(3)$ if $f(x) = x^2 + \tan(\pi x/2)$ for $-1 < x < 1$

Published on 16 Apr 2026 - 2:50

score 245 · Answer 15 · 2026-04-14 09:30:35

245

Views

Bounds for the quadratic form of inverse block matrix

Published on 14 Apr 2026 - 9:30

List Question

number of real solutions of $y^2+y=\sin(x)$ and $y+y^3=\cos^{-1}(\cos(x))$

Least squares with an idempotent matrix

Woodbury matrix identity to solve linear system

Does the inverse of this function exist?

Maximizing the inverse matrix

How $\int_{0}^{\infty} \frac{\arctan(x)}{1+x}\frac{dx}{\sqrt[4]{x}}=\frac{\pi}{\sqrt2}\big(\pi/2+\ln{\beta}\big)$

Show that: if $Cond_2(A)=1$ then $A=\alpha Q$; where $Q $ is an orthonormal matrix and $\alpha$ is a real number $\neq 0$

Given $(I+BB^T)^{-1}$ find the scaled inverse $(I+BDB^T)^{-1}$ fast.

Show that $ (\mathbf{1}_n-A)^{-1} = \displaystyle \sum_{l=0}^m A^l $ , how to approach that problem?

Fastest and accurate way to inverse 2 and 3 variate Vandermonde matrix

Almost every linear map $V\rightarrow V$ (in a certain affine subspace of such maps) is invertible

Exactly one right inverse implies invertible?

Proving that non-absorbing Markov States have steady state probability of $0$

Compute ($f^{-1})'(3)$ if $f(x) = x^2 + \tan(\pi x/2)$ for $-1 < x < 1$

Bounds for the quadratic form of inverse block matrix

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