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Galton-Watson process. Extinction probability example. ( stucked in c) )

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#probability #probability-distributions #generating-functions
114
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Count the number of ways in which these stamps can be posted on the envelope.

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#combinatorics #binomial-coefficients #generating-functions
225
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Estimating variance with $\gcd$ in it

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#generating-functions #gcd-and-lcm #variance
3.5k
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How are we able to calculate specific numbers in the Fibonacci Sequence?

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#combinatorics #generating-functions #fibonacci-numbers
2.6k
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Proof for multiplying generating functions

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#generating-functions #sequences-and-series
1.9k
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Integral Representation of Infinite series

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#combinatorics #analysis #special-functions #generating-functions #residue-calculus
2.1k
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Proving a binomial sum identity $\sum _{k=0}^n \binom nk \frac{(-1)^k}{2k+1} = \frac{(2n)!!}{(2n+1)!!}$

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#combinatorics #summation #binomial-coefficients #generating-functions
1.9k
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Solving recurrence relations that involve all previous terms

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#recurrence-relations #generating-functions
6.9k
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Finding the power series of a rational function

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#real-analysis #combinatorics #generating-functions
3.4k
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Formal power series coefficient multiplication

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#generating-functions #power-series
661
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Generating function of words in a binary alphabet counting blocks and appearances

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#generating-functions #recurrence-relations
794
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What is the combinatoric significance of an integral related to the exponential generating function?

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#combinatorics #generating-functions
2.4k
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Help with a generating function and differential equation

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#sequences-and-series #ordinary-differential-equations #generating-functions
3k
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How to find an explicit formula from a generating function

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#polynomials #generating-functions
2.1k
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Generating function for modeling the number of ways to select five integers from 1 to n where no two are consecutive

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#combinatorics #generating-functions

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