Question

Proving formal power series $A(x) = \sum_{n = 0}^{\infty} a_nx^n$ with $A'(x) := \sum_{n=0}^{\infty}(n+1)a_{n+1}x^n$

score 44 · Answer 1 · 2019-02-07 23:35:06

44

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Proving formal power series $A(x) = \sum_{n = 0}^{\infty} a_nx^n$ with $A'(x) := \sum_{n=0}^{\infty}(n+1)a_{n+1}x^n$

Published on 07 Feb 2019 - 23:35

score 159 · Answer 2 · 2019-02-10 14:14:00

159

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If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Published on 10 Feb 2019 - 14:14

score 7.4k · Answer 3 · 2026-03-26 13:02:41

7.4k

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Why is the inverse of an average of numbers not the same as the average of the inverse of those same numbers?

Published on 26 Mar 2026 - 13:02

score 610 · Answer 4 · 2026-03-25 07:44:45

610

Views

To find the inverse of a special kind of matrix.

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score 246 · Answer 5 · 2019-02-13 14:06:51

246

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Alexey Kostrikin. Algebra. Exercises for the sets and mappings block.

Published on 13 Feb 2019 - 14:06

score 678 · Answer 6 · 2026-03-25 07:47:33

678

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circulant matrix inversion using fast fourier transform

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score 377 · Answer 7 · 2026-03-27 00:04:54

377

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score 195 · Answer 8 · 2019-02-18 14:21:33

195

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Convergence of inverses

Published on 18 Feb 2019 - 14:21

score 29 · Answer 9 · 2019-02-18 23:37:57

29

Views

If $f:X\to Y$ is bijective, then $(f^{-1})^{(-1)}(A)=f(A)$

Published on 18 Feb 2019 - 23:37

score 61 · Answer 10 · 2026-03-26 13:43:51

61

Views

Solutions to $1/K!+1/L!+1/M!=1/N!$

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score 34 · Answer 11 · 2026-03-25 17:37:03

34

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Published on 25 Mar 2026 - 17:37

score 213 · Answer 12 · 2019-02-21 07:13:30

213

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Published on 21 Feb 2019 - 7:13

score 859 · Answer 13 · 2026-03-26 04:52:15

859

Views

Can you please solve $7^{-1} \mod 480$ using extended Euclidean Algorithm?. Kindly show the steps till end

Published on 26 Mar 2026 - 4:52

score 11.4k · Answer 14 · 2026-03-26 10:58:12

11.4k

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Does 3x4 matrix have an Inverse? Why?

Published on 26 Mar 2026 - 10:58

score 3.1k · Answer 15 · 2026-03-22 23:17:51

3.1k

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List Question

Proving formal power series $A(x) = \sum_{n = 0}^{\infty} a_nx^n$ with $A'(x) := \sum_{n=0}^{\infty}(n+1)a_{n+1}x^n$

If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Why is the inverse of an average of numbers not the same as the average of the inverse of those same numbers?

To find the inverse of a special kind of matrix.

Alexey Kostrikin. Algebra. Exercises for the sets and mappings block.

circulant matrix inversion using fast fourier transform

The inverse of a submatrix of an inverse matrix; how to numerically approach this?

Convergence of inverses

If $f:X\to Y$ is bijective, then $(f^{-1})^{(-1)}(A)=f(A)$

Solutions to $1/K!+1/L!+1/M!=1/N!$

vector transpose multiplied by matrix then multiplied again by the same vector, find vector

Inverse of $2 \times 2$ block matrix

Can you please solve $7^{-1} \mod 480$ using extended Euclidean Algorithm?. Kindly show the steps till end

Does 3x4 matrix have an Inverse? Why?

Is infinity the reciprocal of zero/is zero the reciprocal of infinity?

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