Question

Collecting 20 dollars from different people

score 287 · Answer 1 · 2019-01-29 23:14:38

287

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Collecting 20 dollars from different people

Published on 29 Jan 2019 - 23:14

score 2.7k · Answer 2 · 2019-01-30 07:52:36

2.7k

Views

An efficient approach to combinations of pairs in groups without repetitions?

Published on 30 Jan 2019 - 7:52

score 455 · Answer 3 · 2026-03-25 01:14:23

455

Views

Probability generating function of simple birth process

Published on 25 Mar 2026 - 1:14

score 1.3k · Answer 4 · 2019-01-31 07:55:37

1.3k

Views

Generating function for the number of graphs with $k$ connected components

Published on 31 Jan 2019 - 7:55

score 60 · Answer 5 · 2019-01-31 23:51:33

60

Views

For a p.g.f, of $X, f_X(s)$, is $s$ really "just" a dummy variable?

Published on 31 Jan 2019 - 23:51

score 522 · Answer 6 · 2026-03-25 04:40:37

522

Views

Almost all trees are cospectral (Allen Schwenk's 1973 article)

Published on 25 Mar 2026 - 4:40

score 259 · Answer 7 · 2019-02-04 08:04:50

259

Views

for characteristic function $\phi$, prove that $1-|\phi(2u)|^2\le 4( 1-|\phi(u)|^2 )$

Published on 04 Feb 2019 - 8:04

score 1.9k · Answer 8 · 2019-02-05 05:37:34

Find the generating function for the number of integer solutions to $x_1 + x_2 + x_3 + x_4 = r$ with $1 \le x_1 \le x_2 \le x_3 \le x_4$

score 57 · Answer 9 · 2019-02-05 11:28:11

57

Views

Find generating function created by $a_n=2^{n+3}$, for $n\geq3$,$ a_0=1$, $a_1=\frac{5}{2}$ $a_2=3$

Published on 05 Feb 2019 - 11:28

score 675 · Answer 10 · 2019-02-07 04:12:45

675

Views

Find the number of ways to choose $k$ objects from a set of $n$ objects arranged in a circular order such that no two consecutive elements are chosen

Published on 07 Feb 2019 - 4:12

score 42 · Answer 11 · 2026-03-25 23:36:52

42

Views

Moment Generating Function exercises: Knowing that $M_{X}(0)=1$ and $M´_{X}(0)= EX$

Published on 25 Mar 2026 - 23:36

score 506 · Answer 12 · 2019-02-07 22:49:44

506

Views

Generating function $3^n + 7^n$ for $n \in \mathbb{N}_0$

Published on 07 Feb 2019 - 22:49

score 189 · Answer 13 · 2019-02-08 08:11:24

189

Views

Exponential generating function $A(x) = \sum_{n=0}^{\infty}\frac{a_n}{n!}x^n$

Published on 08 Feb 2019 - 8:11

score 45 · Answer 14 · 2019-02-08 08:53:06

45

Views

Linear recursion with constant coefficients that fullfil $a_n = 3^n + 7^n$ for $n \in \mathbb{N}_0$

Published on 08 Feb 2019 - 8:53

score 2.3k · Answer 15 · 2019-02-09 09:11:18

2.3k

Views

Find a generating function for which $A(n)={n \choose 2}$

Published on 09 Feb 2019 - 9:11

List Question

Collecting 20 dollars from different people

An efficient approach to combinations of pairs in groups without repetitions?

Probability generating function of simple birth process

Generating function for the number of graphs with $k$ connected components

For a p.g.f, of $X, f_X(s)$, is $s$ really "just" a dummy variable?

Almost all trees are cospectral (Allen Schwenk's 1973 article)

for characteristic function $\phi$, prove that $1-|\phi(2u)|^2\le 4( 1-|\phi(u)|^2 )$

Find the generating function for the number of integer solutions to $x_1 + x_2 + x_3 + x_4 = r$ with $1 \le x_1 \le x_2 \le x_3 \le x_4$

Find generating function created by $a_n=2^{n+3}$, for $n\geq3$,$ a_0=1$, $a_1=\frac{5}{2}$ $a_2=3$

Find the number of ways to choose $k$ objects from a set of $n$ objects arranged in a circular order such that no two consecutive elements are chosen

Moment Generating Function exercises: Knowing that $M_{X}(0)=1$ and $M´_{X}(0)= EX$

Generating function $3^n + 7^n$ for $n \in \mathbb{N}_0$

Exponential generating function $A(x) = \sum_{n=0}^{\infty}\frac{a_n}{n!}x^n$

Linear recursion with constant coefficients that fullfil $a_n = 3^n + 7^n$ for $n \in \mathbb{N}_0$

Find a generating function for which $A(n)={n \choose 2}$

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