List questions from equivalence-relations

Published on 05 Apr 2013 - 15:42

904

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Is $R$ an equivalence relation on $\mathbb Z^+$: $\;x\,R\,y \;\text{ if and only if}\;\gcd(x,y)\neq 1.$

Published on 05 Apr 2013 - 16:15

767

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How do you show that $R$ is an equivalence relation and enumerate one bit string from each of the different equivalence classes of $R$?

Published on 05 Apr 2013 - 22:31

406

Views

Logic: Equivalence Relation

Published on 06 Apr 2013 - 15:21

625

Views

Define a quotient structure for $(a,b)\sim(c,d)$ iff $a+d=b+c$ in terms of $+$ and $\times$ operators

Published on 08 Apr 2013 - 17:52

143

Views

defining a relation on the set of reals. proving that it is an equivalence relation and compelling description

Published on 09 Apr 2013 - 6:14

480

Views

Number of Equivalence Classes

Published on 09 Apr 2013 - 15:23

1k

Views

Find the number of distinct equivalence classes $[f]$ of $R$.

Published on 09 Apr 2013 - 23:49

1.2k

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find the number of equivalence classes of $\mathbb R$.

Published on 10 Apr 2013 - 3:42

642

Views

Given a relation $R$, is it reflexive? Symmetric? Transitive?

Published on 10 Apr 2013 - 4:33

4.9k

Views

Proving two functions are equal

Published on 10 Apr 2013 - 20:01

1.3k

Views

Function and equivalence relations question

Published on 10 Apr 2013 - 22:24

1.4k

Views

Sets, functions and relations problem

Published on 11 Apr 2013 - 1:01

202

Views

Quick equivalence class clarification question

Published on 11 Apr 2013 - 1:12

484

Views

Counting the number of functions

Published on 12 Apr 2013 - 1:20

List Question

Equivalence relation and its equivalence classes

Is $R$ an equivalence relation on $\mathbb Z^+$: $\;x\,R\,y \;\text{ if and only if}\;\gcd(x,y)\neq 1.$

How do you show that $R$ is an equivalence relation and enumerate one bit string from each of the different equivalence classes of $R$?

Logic: Equivalence Relation

Define a quotient structure for $(a,b)\sim(c,d)$ iff $a+d=b+c$ in terms of $+$ and $\times$ operators

defining a relation on the set of reals. proving that it is an equivalence relation and compelling description

Number of Equivalence Classes

Find the number of distinct equivalence classes $[f]$ of $R$.

find the number of equivalence classes of $\mathbb R$.

Given a relation $R$, is it reflexive? Symmetric? Transitive?

Proving two functions are equal

Function and equivalence relations question

Sets, functions and relations problem

Quick equivalence class clarification question

Counting the number of functions

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