Question

What does it mean by "A total order,$T$, $⪯$ is said to be compatible with the partial order $R$ if $aRb$ implies a $⪯$ b"?

score 73 · Answer 1 · 2026-04-18 23:45:52

73

Views

What does it mean by "A total order,$T$, $⪯$ is said to be compatible with the partial order $R$ if $aRb$ implies a $⪯$ b"?

Published on 18 Apr 2026 - 23:45

score 22 · Answer 2 · 2026-04-15 13:15:04

22

Views

Should a partial order and total order be related in the context of the "condition" specified in the relation?

Published on 15 Apr 2026 - 13:15

score 1.8k · Answer 3 · 2026-04-13 02:37:16

1.8k

Views

What is the smallest digraph whose reflexive, symmetric, transitive closures (in all combinations) are distinct?

Published on 13 Apr 2026 - 2:37

score 95 · Answer 4 · 2026-04-15 22:43:21

95

Views

Closure-sequence-lengths in graphs

Published on 15 Apr 2026 - 22:43

score 43 · Answer 5 · 2026-04-18 23:39:14

43

Views

is the binary relation "strictly higher than'' antisymmetric?

Published on 18 Apr 2026 - 23:39

score 190 · Answer 6 · 2026-04-15 21:53:09

190

Views

If a relation is euclidean, is it necessarily asymmetric?

Published on 15 Apr 2026 - 21:53

score 37 · Answer 7 · 2026-04-15 21:15:46

37

Views

Is the relation $fRg$ iff $\exists k > 0 \mid f(x) + k < g(x + k)$ on real functions transitive?

Published on 15 Apr 2026 - 21:15

score 122 · Answer 8 · 2026-04-13 20:31:21

122

Views

Why, exactly, does reflexivity depend on the domain of the relation?

Published on 13 Apr 2026 - 20:31

score 75 · Answer 9 · 2026-04-12 06:23:23

75

Views

How do I answer this question on relations?

Published on 12 Apr 2026 - 6:23

score 62 · Answer 10 · 2026-04-13 18:15:34

62

Views

Prove that for every $X \in \mathscr{P}(A)$ there is exactly one $Y \in [X]_R$ such that $Y \cap B = \emptyset$

Published on 13 Apr 2026 - 18:15

score 56 · Answer 11 · 2026-04-14 06:05:14

56

Views

How is transitive closure of a relation related to the cardinality of the set?

Published on 14 Apr 2026 - 6:05

score 16 · Answer 12 · 2026-04-13 22:23:28

16

Views

Is a euclidic relation not asymmetric?

Published on 13 Apr 2026 - 22:23

score 47 · Answer 13 · 2026-04-14 03:11:05

47

Views

Given $R$, a symmetrical relation over $A$, if $(R \circ R)$ is a function, then $R$ is a function

Published on 14 Apr 2026 - 3:11

score 82 · Answer 14 · 2026-04-13 14:47:21

82

Views

Prove that $(R ∪ R^{-1}) _{k^2}$ is an equivalence relation

Published on 13 Apr 2026 - 14:47

score 330 · Answer 15 · 2026-04-15 05:22:55

330

Views

Prove R is antisymmetric if $R^2$ is antisymmetric

Published on 15 Apr 2026 - 5:22

List Question

What does it mean by "A total order,$T$, $⪯$ is said to be compatible with the partial order $R$ if $aRb$ implies a $⪯$ b"?

Should a partial order and total order be related in the context of the "condition" specified in the relation?

What is the smallest digraph whose reflexive, symmetric, transitive closures (in all combinations) are distinct?

Closure-sequence-lengths in graphs

is the binary relation "strictly higher than'' antisymmetric?

If a relation is euclidean, is it necessarily asymmetric?

Is the relation $fRg$ iff $\exists k > 0 \mid f(x) + k < g(x + k)$ on real functions transitive?

Why, exactly, does reflexivity depend on the domain of the relation?

How do I answer this question on relations?

Prove that for every $X \in \mathscr{P}(A)$ there is exactly one $Y \in [X]_R$ such that $Y \cap B = \emptyset$

How is transitive closure of a relation related to the cardinality of the set?

Is a euclidic relation not asymmetric?

Given $R$, a symmetrical relation over $A$, if $(R \circ R)$ is a function, then $R$ is a function

Prove that $(R ∪ R^{-1}) _{k^2}$ is an equivalence relation

Prove R is antisymmetric if $R^2$ is antisymmetric

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