Question

Proving this relation is a function

score 88 · Answer 1 · 2016-10-19 12:44:14

Proving this relation is a function

Published on 19 Oct 2016 - 12:44

score 57 · Answer 2 · 2026-04-01 14:45:07

Does the relation $R = \{(x,y) \in ℝ^+ \times ℝ^+ |( x | y) \}$ create a partition for a set $A = \{1,2,3,4,5,6,7,8,9,10\}$? If so, why?

score 86 · Answer 3 · 2016-10-20 08:54:36

86

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Partial order homework

Published on 20 Oct 2016 - 8:54

score 571 · Answer 4 · 2016-10-20 10:21:35

571

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Is this relation transitive when (x,y) and (x,z) exist but (y,z) does not?

Published on 20 Oct 2016 - 10:21

score 147 · Answer 5 · 2016-10-21 01:51:01

147

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S ◦ R : duplicate relations?

Published on 21 Oct 2016 - 1:51

score 2.7k · Answer 6 · 2026-03-27 16:26:18

2.7k

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How to show $(S \circ R)^{-1} = R^{-1} \circ S^{-1}$?

Published on 27 Mar 2026 - 16:26

score 140 · Answer 7 · 2016-10-22 19:36:08

140

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Confusion Regarding the Quotient Set

Published on 22 Oct 2016 - 19:36

score 612 · Answer 8 · 2016-10-23 19:28:51

612

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On the equivalence classes of a relation (Myhill-Nerode theorem)

Published on 23 Oct 2016 - 19:28

score 28 · Answer 9 · 2026-04-01 01:17:09

28

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Demonstrate $A\subseteq B \Longrightarrow A\circ \theta \subseteq B \circ \theta $

Published on 01 Apr 2026 - 1:17

score 29 · Answer 10 · 2016-10-24 11:00:20

29

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Properties of Relations

Published on 24 Oct 2016 - 11:00

score 101 · Answer 11 · 2026-04-01 01:14:32

101

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Using a counterexample, explain why the following proposition is false: $A\subset B \Longrightarrow A\circ \theta \subset B \circ \theta $

Published on 01 Apr 2026 - 1:14

score 1.1k · Answer 12 · 2026-03-26 14:25:19

1.1k

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What does it mean when a Hasse diagram is like a straight line?

Published on 26 Mar 2026 - 14:25

score 122 · Answer 13 · 2016-10-25 07:37:06

122

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Prove or disprove the relation is equivalence

Published on 25 Oct 2016 - 7:37

score 768 · Answer 14 · 2016-10-25 07:52:52

768

Views

Prove the totality of a relation

Published on 25 Oct 2016 - 7:52

score 81 · Answer 15 · 2016-10-25 15:27:02

81

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$R=\{ (a,b)\in A\times A\mid{}$ for every $X\subseteq A\smallsetminus\{a,b\}$, if $X \cup \{a\} \in F$ then $X\cup \{b\}\in F\} $ is transitive.

Published on 25 Oct 2016 - 15:27

List Question

Proving this relation is a function

Does the relation $R = \{(x,y) \in ℝ^+ \times ℝ^+ |( x | y) \}$ create a partition for a set $A = \{1,2,3,4,5,6,7,8,9,10\}$? If so, why?

Partial order homework

Is this relation transitive when (x,y) and (x,z) exist but (y,z) does not?

S ◦ R : duplicate relations?

How to show $(S \circ R)^{-1} = R^{-1} \circ S^{-1}$?

Confusion Regarding the Quotient Set

On the equivalence classes of a relation (Myhill-Nerode theorem)

Demonstrate $A\subseteq B \Longrightarrow A\circ \theta \subseteq B \circ \theta $

Properties of Relations

Using a counterexample, explain why the following proposition is false: $A\subset B \Longrightarrow A\circ \theta \subset B \circ \theta $

What does it mean when a Hasse diagram is like a straight line?

Prove or disprove the relation is equivalence

Prove the totality of a relation

$R=\{ (a,b)\in A\times A\mid{}$ for every $X\subseteq A\smallsetminus\{a,b\}$, if $X \cup \{a\} \in F$ then $X\cup \{b\}\in F\} $ is transitive.

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