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Maximize multivariable integer function

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#combinatorics #number-theory #inequality #optimization
137
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Detail in proof that groups of order $mp$ with $1<m < p$ are simple

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#abstract-algebra #combinatorics #group-theory #prime-numbers #sylow-theory
167
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How can I find the number of dissimilar or distinct terms in $(1+x + x^2 +x^3)^n$?

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#combinatorics #permutations #binomial-coefficients #binomial-theorem
137
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How to prove $\sum_{k=0}^{n-j}(-1)^k{n-j\choose k}{n+j+k\choose 2j+1+k}$ equal to zero?

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#combinatorics #summation #binomial-coefficients
96
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What is the series expansion for $\ln \left( {\frac {z}{1-{{\rm e}^{-z}}}} \right)?$

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#combinatorics
58
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Proving $|Z| \leq \binom{n}{l}/ \binom{m}{l}$

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#combinatorics #inequality #binomial-coefficients
264
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Combinatorics: Distributing $n$ bananas to $k$ people

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#combinatorics
527
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Relating graph theory and recurrence relations

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#calculus #combinatorics #graph-theory #recurrence-relations
65
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Counting circular arrangements with restrictions

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#combinatorics
21
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How can I determine the total possible distributions of a sequence if order matters, but repeated numbers don't?

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#combinatorics #statistics
345
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Combinatorics. Rook Placing

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#combinatorics #permutations #combinations #chessboard
43
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Mississippi problem with piles

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#combinatorics #discrete-mathematics #combinations
111
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Applying Dilworth's theorem to 50 intervals in R

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#combinatorics #discrete-mathematics #elementary-set-theory #order-theory
259
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Proof of König - Egerváry theorem.

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#combinatorics #proof-writing #proof-explanation
94
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Tree of order $p$ with $p_i$ vertices of degree $i$ for $i\in\{1,\dots, p-1\}$.

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#combinatorics #graph-theory #trees

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