Question

How to show that inequality of a combinatoric series holds true

score 68 · Answer 1 · 2026-03-22 10:59:16

68

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How to show that inequality of a combinatoric series holds true

Published on 22 Mar 2026 - 10:59

score 2.3k · Answer 2 · 2026-03-22 03:48:53

2.3k

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Expectation for Trinomial distribution

Published on 22 Mar 2026 - 3:48

score 1.2k · Answer 3 · 2026-03-22 18:12:31

1.2k

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What is the coefficient of $x^5$ in the expression $(2 + x - x^2)^5$

Published on 22 Mar 2026 - 18:12

score 2.7k · Answer 4 · 2026-03-22 18:25:31

2.7k

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Find the the coefficient of $\,x^r\,$ in $\,(1+x+x^2)^n$

Published on 22 Mar 2026 - 18:25

score 504 · Answer 5 · 2026-03-23 08:03:09

504

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Proving the Multinomial Theorem--Collapsing Double Sum (Multiple Summation Step)

Published on 23 Mar 2026 - 8:03

score 555 · Answer 6 · 2026-03-23 01:52:16

555

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Negative multinomial theorem?

Published on 23 Mar 2026 - 1:52

score 671 · Answer 7 · 2026-03-22 19:08:45

671

Views

Number of positive integral solutions in the given inequality

Published on 22 Mar 2026 - 19:08

score 70 · Answer 8 · 2026-03-22 22:35:11

70

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Coefficient of x in a geometric sum raised to the power of n

Published on 22 Mar 2026 - 22:35

score 119 · Answer 9 · 2026-03-22 18:38:40

119

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closed-form expression for expected value, $E\left\{X_1\cdots X_k\right\}$ for multinomial distribution

Published on 22 Mar 2026 - 18:38

score 235 · Answer 10 · 2026-03-25 02:28:48

235

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Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

Published on 25 Mar 2026 - 2:28

score 225 · Answer 11 · 2026-03-22 20:52:25

225

Views

Prove that the general norm equation satisfies the triangle inequality for n-dimensions

Published on 22 Mar 2026 - 20:52

score 50 · Answer 12 · 2026-03-25 04:35:07

50

Views

Need help finding a sum

Published on 25 Mar 2026 - 4:35

score 716 · Answer 13 · 2026-03-25 04:42:52

716

Views

Expansion of summation of power series raised to a power

Published on 25 Mar 2026 - 4:42

score 179 · Answer 14 · 2026-03-22 15:56:27

179

Views

Find Coefficient of Trinomial Where Term has a Coefficient

Published on 22 Mar 2026 - 15:56

score 95 · Answer 15 · 2026-03-25 04:42:30

95

Views

Simplifying $ \sum_{1\cdot m_1 + 2\cdot m_2 + \cdots + n \cdot m_n = n} \frac{1}{m_1 ! m_2 ! \cdots m_n !} t^{m_1 + \cdots + m_n} $

Published on 25 Mar 2026 - 4:42

List Question

How to show that inequality of a combinatoric series holds true

Expectation for Trinomial distribution

What is the coefficient of $x^5$ in the expression $(2 + x - x^2)^5$

Find the the coefficient of $\,x^r\,$ in $\,(1+x+x^2)^n$

Proving the Multinomial Theorem--Collapsing Double Sum (Multiple Summation Step)

Negative multinomial theorem?

Number of positive integral solutions in the given inequality

Coefficient of x in a geometric sum raised to the power of n

closed-form expression for expected value, $E\left\{X_1\cdots X_k\right\}$ for multinomial distribution

Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

Prove that the general norm equation satisfies the triangle inequality for n-dimensions

Need help finding a sum

Expansion of summation of power series raised to a power

Find Coefficient of Trinomial Where Term has a Coefficient

Simplifying $ \sum_{1\cdot m_1 + 2\cdot m_2 + \cdots + n \cdot m_n = n} \frac{1}{m_1 ! m_2 ! \cdots m_n !} t^{m_1 + \cdots + m_n} $

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