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Prove that $\sim$ is an equivalence relation on the set $A$

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#equivalence-relations #set-partition
63
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Let $a \in A \ and\ U \in C \ such\ that\ a \in U\ $. Prove that $[a] = U\ $.

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#equivalence-relations #set-partition
69
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Is this true for every partitioning?

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#combinatorics #combinations #integer-partitions #set-partition #clustering
124
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What is the appropriate weight ($W_k$) (for two arbitrary partitions)?

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#combinatorics #combinations #integer-partitions #set-partition #clustering
40
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How to create sets of nodes on a colored graph while cutting as few edges as possible

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#graph-theory #algorithms #computer-science #set-partition
97
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Prove there is a bijection φ : R(X) → P(X)

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#equivalence-relations #set-partition
320
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What are isomorphic partitions?

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#elementary-set-theory #relations #equivalence-relations #set-partition
196
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Coloured partitions

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#combinatorics #discrete-mathematics #recreational-mathematics #problem-solving #set-partition
452
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Find Integer Partition using only integers belonging to S = { 1, 2, 3 }

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#integer-partitions #set-partition
53
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Find Equivalence Classes and the quotient set defined by the relationship in Reals.

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#discrete-mathematics #equivalence-relations #set-partition
429
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Partition of positive reals with each part closed under addition without choice

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#set-theory #real-numbers #axiom-of-choice #set-partition #provability
89
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Infinite set of positive integers - choose infinitely many to be relative primes or not

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#infinity #gcd-and-lcm #set-partition
458
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Is there any work on partition a partial order set into minimum number total order subsets?

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#discrete-mathematics #order-theory #set-partition
60
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distribution of bisecting great circles

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#geometry #spheres #set-partition
815
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Prove or disprove that every finite $\sigma$-algebra on $\Omega$ is generated by a finite partition of $\Omega$.

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#measure-theory #set-partition

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