Question

Does there exist a continuous partition of the sphere into sets of cardinality 4?

score 249 · Answer 1 · 2026-03-27 14:02:20

249

Views

Does there exist a continuous partition of the sphere into sets of cardinality 4?

Published on 27 Mar 2026 - 14:02

score 503 · Answer 2 · 2021-02-24 02:44:54

503

Views

prove that $S$ is a subgroup of $G$

Published on 24 Feb 2021 - 2:44

score 145 · Answer 3 · 2021-02-27 18:24:46

145

Views

Bipartite Graph Construction

Published on 27 Feb 2021 - 18:24

score 111 · Answer 4 · 2021-03-02 04:43:28

111

Views

Is $\{\{1,2,3\},\emptyset\}$ a partition of $\{1,2,3\}$?

Published on 02 Mar 2021 - 4:43

score 64 · Answer 5 · 2026-02-23 10:43:43

64

Views

How to count/enumerate equivalent colorings

Published on 23 Feb 2026 - 10:43

score 103 · Answer 6 · 2026-03-25 23:42:48

103

Views

Show that $\left| A_n \right| = \sum_{k=1}^{n} (-1)^k \binom{n}{k} B(n - k)$ where $B(n)$ is the nth Bell number.

Published on 25 Mar 2026 - 23:42

score 114 · Answer 7 · 2021-03-10 23:09:05

114

Views

Cartesian products involving empty sets

Published on 10 Mar 2021 - 23:09

score 37 · Answer 8 · 2026-03-28 12:14:42

37

Views

Split $\{1,2,...,n\}$ into $k$ subsets so that the sum of the elements in each subset are as close as possible.

Published on 28 Mar 2026 - 12:14

score 67 · Answer 9 · 2021-03-14 11:33:02

67

Views

What is the partition for a dice, where the universe is $\Omega=\{1, 2, 3, 4, 5, 6\}$?

Published on 14 Mar 2021 - 11:33

score 398 · Answer 10 · 2021-03-14 12:18:56

398

Views

How many set partitions of [n] are there in which 1 is not in a block of size 1?

Published on 14 Mar 2021 - 12:18

score 170 · Answer 11 · 2021-03-14 14:18:08

170

Views

How many set partitions of [n] are there into exactly two parts, such that the parts have different sizes?

Published on 14 Mar 2021 - 14:18

score 150 · Answer 12 · 2021-03-20 00:39:02

150

Views

Constructing a set of numbers so that all 3 element partitions have different subset sums

Published on 20 Mar 2021 - 0:39

score 298 · Answer 13 · 2021-03-25 04:51:15

298

Views

Set $S$ of integers $\ge0$ such that $\{1,2,\cdots,n\}$ partitions into $A, B$ with $\sum_\limits{a\in A}a^k=\sum_\limits{b\in B}b^k$ for all $k\in S$

Published on 25 Mar 2021 - 4:51

score 40 · Answer 14 · 2021-03-28 21:50:11

40

Views

prove/disprove existence of a subset mapping function

Published on 28 Mar 2021 - 21:50

score 470 · Answer 15 · 2021-04-04 17:29:36

470

Views

Equivalents of the Partition Principle

Published on 04 Apr 2021 - 17:29

List Question

Does there exist a continuous partition of the sphere into sets of cardinality 4?

prove that $S$ is a subgroup of $G$

Bipartite Graph Construction

Is $\{\{1,2,3\},\emptyset\}$ a partition of $\{1,2,3\}$?

How to count/enumerate equivalent colorings

Show that $\left| A_n \right| = \sum_{k=1}^{n} (-1)^k \binom{n}{k} B(n - k)$ where $B(n)$ is the nth Bell number.

Cartesian products involving empty sets

Split $\{1,2,...,n\}$ into $k$ subsets so that the sum of the elements in each subset are as close as possible.

What is the partition for a dice, where the universe is $\Omega=\{1, 2, 3, 4, 5, 6\}$?

How many set partitions of [n] are there in which 1 is not in a block of size 1?

How many set partitions of [n] are there into exactly two parts, such that the parts have different sizes?

Constructing a set of numbers so that all 3 element partitions have different subset sums

Set $S$ of integers $\ge0$ such that $\{1,2,\cdots,n\}$ partitions into $A, B$ with $\sum_\limits{a\in A}a^k=\sum_\limits{b\in B}b^k$ for all $k\in S$

prove/disprove existence of a subset mapping function

Equivalents of the Partition Principle

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