Question

How to partition $nk$ objects $\frac{1}{n}\binom{nk}{k}$ times, each time making subsets of size $k$, so that no combination of $k$ is repeated.

score 326 · Answer 1 · 2016-01-29 08:27:38

326

Views

How to partition $nk$ objects $\frac{1}{n}\binom{nk}{k}$ times, each time making subsets of size $k$, so that no combination of $k$ is repeated.

Published on 29 Jan 2016 - 8:27

score 795 · Answer 2 · 2016-01-30 00:05:03

795

Views

Show that the equivalence classes give a partition of $X$.

Published on 30 Jan 2016 - 0:05

score 722 · Answer 3 · 2016-01-30 05:38:10

722

Views

Splitting a set into two disjoint sets five times, minimizing pairs in the same set

Published on 30 Jan 2016 - 5:38

score 193 · Answer 4 · 2016-02-05 01:22:35

193

Views

From sets of subsets to partitions

Published on 05 Feb 2016 - 1:22

score 228 · Answer 5 · 2016-02-07 09:22:36

228

Views

Elementary Set Theory ~ Partitions

Published on 07 Feb 2016 - 9:22

score 1.2k · Answer 6 · 2016-02-16 10:53:48

1.2k

Views

For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?

Published on 16 Feb 2016 - 10:53

score 432 · Answer 7 · 2016-02-28 08:36:03

432

Views

Partition of $\{1,2,3,\cdots,3n\}$ into $n$ subsets, each with $3$ numbers, which have equal sum

Published on 28 Feb 2016 - 8:36

score 13.1k · Answer 8 · 2016-03-13 23:30:55

13.1k

Views

Understanding the definition of refinement of a partition $P$.

Published on 13 Mar 2016 - 23:30

score 155 · Answer 9 · 2016-03-18 10:03:13

155

Views

How many ways can N objects be split into groups of 3?

Published on 18 Mar 2016 - 10:03

score 464 · Answer 10 · 2016-03-21 18:02:50

464

Views

Pairwise intersection of parts in two set partitions gives a new set partition

Published on 21 Mar 2016 - 18:02

score 461 · Answer 11 · 2016-04-07 14:22:51

461

Views

Formula for the number of partitions of 2N elements

Published on 07 Apr 2016 - 14:22

score 559 · Answer 12 · 2016-04-17 04:45:00

559

Views

Decomposition of $\mathbb N$ into mutually disjoint infinite subsets

Published on 17 Apr 2016 - 4:45

score 37 · Answer 13 · 2016-04-18 13:51:50

37

Views

How to call a partition of $X$ which consists of all singleton subsets of $X$?

Published on 18 Apr 2016 - 13:51

score 2.3k · Answer 14 · 2016-04-19 23:58:29

2.3k

Views

Equivalence relation on $\mathbb{N}$ with infinitely many equivalence classes

Published on 19 Apr 2016 - 23:58

score 791 · Answer 15 · 2016-04-20 18:37:18

791

Views

Determine if given relation is an equivalence relation, and describe the partition?

Published on 20 Apr 2016 - 18:37

List Question

How to partition $nk$ objects $\frac{1}{n}\binom{nk}{k}$ times, each time making subsets of size $k$, so that no combination of $k$ is repeated.

Show that the equivalence classes give a partition of $X$.

Splitting a set into two disjoint sets five times, minimizing pairs in the same set

From sets of subsets to partitions

Elementary Set Theory ~ Partitions

For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?

Partition of $\{1,2,3,\cdots,3n\}$ into $n$ subsets, each with $3$ numbers, which have equal sum

Understanding the definition of refinement of a partition $P$.

How many ways can N objects be split into groups of 3?

Pairwise intersection of parts in two set partitions gives a new set partition

Formula for the number of partitions of 2N elements

Decomposition of $\mathbb N$ into mutually disjoint infinite subsets

How to call a partition of $X$ which consists of all singleton subsets of $X$?

Equivalence relation on $\mathbb{N}$ with infinitely many equivalence classes

Determine if given relation is an equivalence relation, and describe the partition?

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