Question

Proving properties of binary relations

score 1k · Answer 1 · 2014-12-02 00:38:42

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Proving properties of binary relations

Published on 02 Dec 2014 - 0:38

score 605 · Answer 2 · 2014-12-02 05:53:21

605

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Prove: The relation $R$ on $\mathbb{N}$ is reflexive, symmetric and transitive

Published on 02 Dec 2014 - 5:53

score 278 · Answer 3 · 2014-12-02 12:31:53

278

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to find total number of subsets

Published on 02 Dec 2014 - 12:31

score 6.5k · Answer 4 · 2014-12-02 12:36:55

6.5k

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Real life example of relations with various combination of properties

Published on 02 Dec 2014 - 12:36

score 12.6k · Answer 5 · 2014-12-02 15:44:56

12.6k

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how to find relation R^2

Published on 02 Dec 2014 - 15:44

score 1.8k · Answer 6 · 2014-12-03 05:41:02

1.8k

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Proofs with Relations and functions

Published on 03 Dec 2014 - 5:41

score 77 · Answer 7 · 2014-12-03 15:00:24

77

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Transitive closure relation

Published on 03 Dec 2014 - 15:00

score 87 · Answer 8 · 2014-12-03 18:11:28

87

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Is relation a partial order?

Published on 03 Dec 2014 - 18:11

score 3.3k · Answer 9 · 2014-12-03 20:01:47

3.3k

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Prove that if R is a symmetric relation, so is R^2.

Published on 03 Dec 2014 - 20:01

score 1.3k · Answer 10 · 2014-12-03 23:33:38

1.3k

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Show whether a relation R is transitive for xRy iff 3|(2x+y)

Published on 03 Dec 2014 - 23:33

score 4k · Answer 11 · 2026-03-26 14:22:15

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Consider P a partition of set A. Given relation R on A and xRy if and only if x, y $\in$ X for some X $\in$ P. Show R is equivalence relation on A

Published on 26 Mar 2026 - 14:22

score 1k · Answer 12 · 2014-12-05 19:07:53

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Construct equivalence classes for a relation R

Published on 05 Dec 2014 - 19:07

score 3k · Answer 13 · 2014-12-05 20:08:01

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Suppose that R and S are reflexive relations on a set A. Show that R-S is irreflexive.

Published on 05 Dec 2014 - 20:08

score 1.2k · Answer 14 · 2014-12-06 09:54:37

1.2k

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What is the difference between a relation and a closure?

Published on 06 Dec 2014 - 9:54

score 172 · Answer 15 · 2014-12-06 20:28:29

172

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if $R_1$ and $R_2$ are symmetric and transitive, then $R_1 \cup R_2$ is still symmetric and transitive.

Published on 06 Dec 2014 - 20:28

List Question

Proving properties of binary relations

Prove: The relation $R$ on $\mathbb{N}$ is reflexive, symmetric and transitive

to find total number of subsets

Real life example of relations with various combination of properties

how to find relation R^2

Proofs with Relations and functions

Transitive closure relation

Is relation a partial order?

Prove that if R is a symmetric relation, so is R^2.

Show whether a relation R is transitive for xRy iff 3|(2x+y)

Consider P a partition of set A. Given relation R on A and xRy if and only if x, y $\in$ X for some X $\in$ P. Show R is equivalence relation on A

Construct equivalence classes for a relation R

Suppose that R and S are reflexive relations on a set A. Show that R-S is irreflexive.

What is the difference between a relation and a closure?

if $R_1$ and $R_2$ are symmetric and transitive, then $R_1 \cup R_2$ is still symmetric and transitive.

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