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Math Grouping Optimization

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#optimization #algorithms #puzzle #discrete-optimization #set-partition
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decompose complete directed graph with n vertices into n edge-disjoint cycles with length n-1

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#graph-theory #set-partition #hamiltonian-path
115
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Riemann Integration using Geometric Partitions

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#real-analysis #integration #definite-integrals #set-partition
32
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Exclusion-Inclusion principle for set partition.

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#combinatorics #set-partition
58
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When partitioning the odd and even numbers on the clock such that blocks don't cross, how to show that always 7 blocks are needed?

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#combinatorics #set-partition
67
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Automorphism group of a set partition

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#group-theory #automorphism-group #set-partition
44
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Is the following Knapsack Variant NP-Hard?

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#integer-partitions #set-partition #np-complete
89
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Can you partition the set of 9 consecutive integers 1 to 9 in 2 sets, s.t. no member of either set is the mean of two other members of the same set?

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#elementary-number-theory #average #pigeonhole-principle #means #set-partition
21
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Are there twice as many generalized partitions as partitions?

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#elementary-set-theory #set-partition
76
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Another formulation for Stirling numbers of the second kind

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#combinatorics #number-theory #integer-partitions #set-partition #stirling-numbers
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In how many ways can 12 similar balls be divided into three identical groups, with each group containing at least one and at most six balls?

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#combinatorics #set-partition
172
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Number of Partition of a Set with Repeated Elements

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#combinatorics #set-partition #multisets
55
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Distinguishing partitions of a set

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#category-theory #order-theory #set-partition
23
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Showing that a union of subset partition spans a whole set

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#relations #order-theory #set-partition
71
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equivalence relations divides sets into partitions whose union is the set but if some elements of the set aren't in the relation how does this work?

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#elementary-set-theory #relations #equivalence-relations #set-partition

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