Question

Is it possible to write the set $T = ${$(x, x, y) : x,y \in \mathbb{N}$} or $S = ${$(x, x^2, y) : x,y \in \mathbb{N}$} as Cartesian product of 3 sets?

score 43 · Answer 1 · 2026-04-16 12:18:56

43

Views

Is it possible to write the set $T = ${$(x, x, y) : x,y \in \mathbb{N}$} or $S = ${$(x, x^2, y) : x,y \in \mathbb{N}$} as Cartesian product of 3 sets?

Published on 16 Apr 2026 - 12:18

score 40 · Answer 2 · 2026-04-15 09:06:53

40

Views

Show that: $R(Z) = R(X \cap Z) \subseteq Y$ and $R^{-1}(Z) = R^{-1}(Z \cap Y) \subseteq X$.

Published on 15 Apr 2026 - 9:06

score 53 · Answer 3 · 2026-04-11 03:01:45

53

Views

Can the following relations be considered functions?

Published on 11 Apr 2026 - 3:01

score 175 · Answer 4 · 2026-04-13 23:46:54

175

Views

Show that R is an equivalence relation on the set of all bit strings

Published on 13 Apr 2026 - 23:46

score 36 · Answer 5 · 2026-04-10 10:28:15

36

Views

Trouble Understanding Equivalence Relation Problem

Published on 10 Apr 2026 - 10:28

score 308 · Answer 6 · 2026-04-13 04:28:13

308

Views

Relation of two Functions and Logic

Published on 13 Apr 2026 - 4:28

score 39 · Answer 7 · 2026-04-12 03:21:14

39

Views

Which of the following relations are partially ordered relations and which are linearly ordered relations.

Published on 12 Apr 2026 - 3:21

score 248 · Answer 8 · 2026-04-18 10:03:28

248

Views

Prove partial order of all Strings of digits {0,1...9}, by u ⪯ v if and only if u is a prefix of v

Published on 18 Apr 2026 - 10:03

score 40 · Answer 9 · 2026-04-11 18:08:39

40

Views

Relation of equivalence

Published on 11 Apr 2026 - 18:08

score 494 · Answer 10 · 2026-04-11 20:09:29

494

Views

Determining whether a lattice is complemented

Published on 11 Apr 2026 - 20:09

score 936 · Answer 11 · 2026-03-25 07:40:58

936

Views

Infinite recursive graphs and different ways to build them

Published on 25 Mar 2026 - 7:40

score 34 · Answer 12 · 2026-04-16 04:48:57

34

Views

Prove whether or not the relation is a partial order

Published on 16 Apr 2026 - 4:48

score 263 · Answer 13 · 2026-04-09 05:13:57

263

Views

Joins and Meets in Preorder

Published on 09 Apr 2026 - 5:13

score 124 · Answer 14 · 2026-04-13 19:39:44

124

Views

Show that operations of addition and multiplication on $Z$ are "agreed" with this equivalence relation.

Published on 13 Apr 2026 - 19:39

score 23 · Answer 15 · 2026-04-15 02:43:20

Prove that it is impossible to define any non-trivial partial order on $Z_n$, which can be > compatible with addition operation on $Z_n$

List Question

Is it possible to write the set $T = ${$(x, x, y) : x,y \in \mathbb{N}$} or $S = ${$(x, x^2, y) : x,y \in \mathbb{N}$} as Cartesian product of 3 sets?

Show that: $R(Z) = R(X \cap Z) \subseteq Y$ and $R^{-1}(Z) = R^{-1}(Z \cap Y) \subseteq X$.

Can the following relations be considered functions?

Show that R is an equivalence relation on the set of all bit strings

Trouble Understanding Equivalence Relation Problem

Relation of two Functions and Logic

Which of the following relations are partially ordered relations and which are linearly ordered relations.

Prove partial order of all Strings of digits {0,1...9}, by u ⪯ v if and only if u is a prefix of v

Relation of equivalence

Determining whether a lattice is complemented

Infinite recursive graphs and different ways to build them

Prove whether or not the relation is a partial order

Joins and Meets in Preorder

Show that operations of addition and multiplication on $Z$ are "agreed" with this equivalence relation.

Prove that it is impossible to define any non-trivial partial order on $Z_n$, which can be > compatible with addition operation on $Z_n$

Trending Questions

Popular # Hahtags

Popular Questions