Question

Discrete mathematics, defining (+, *) operations on a equivalence relations.

score 59 · Answer 1 · 2026-03-26 20:25:50

59

Views

Discrete mathematics, defining (+, *) operations on a equivalence relations.

Published on 26 Mar 2026 - 20:25

score 144 · Answer 2 · 2026-03-26 21:53:57

144

Views

Prove that $R\subseteq X\times X$ is an equivalence relation and construct its equivalence class

Published on 26 Mar 2026 - 21:53

score 54 · Answer 3 · 2026-03-26 06:29:57

54

Views

Find Equivalence Classes and the quotient set defined by the relationship in Reals.

Published on 26 Mar 2026 - 6:29

score 63 · Answer 4 · 2026-03-25 02:53:20

About the equivalence relation on $\mathbb{Z}\times\mathbb{Z}\,$ s.t. $(a,b)\sim(c,d)\,$ if $\,2^{a^2+d^2}\equiv 2^{b^2+c^2} (\text{mod} \, 5)$

score 256 · Answer 5 · 2026-03-25 07:09:38

256

Views

Characterizing the Graph of a Line as an Equivalence Class

Published on 25 Mar 2026 - 7:09

score 206 · Answer 6 · 2026-03-27 01:45:55

206

Views

Left and right inverses of functions.

Published on 27 Mar 2026 - 1:45

score 39 · Answer 7 · 2026-03-25 16:08:31

39

Views

The name "section" for the operation of selecting representatives of an equivalence class

Published on 25 Mar 2026 - 16:08

score 228 · Answer 8 · 2026-03-26 00:53:56

228

Views

Proving the Set of Rational Numbers is the collection of equivalence classes of ratios of integers with nonzero denominators.

Published on 26 Mar 2026 - 0:53

score 55 · Answer 9 · 2026-03-25 10:02:56

55

Views

If $a^n$ is equivalent to $b^n$ (mod c) then does this imply a is equivalent to b (mod c)?

Published on 25 Mar 2026 - 10:02

score 2.1k · Answer 10 · 2026-03-25 17:43:37

2.1k

Views

When is a space homeomorphic to a quotient space?

Published on 25 Mar 2026 - 17:43

score 61 · Answer 11 · 2026-03-25 14:19:01

61

Views

Proof of equivalence relations

Published on 25 Mar 2026 - 14:19

score 280 · Answer 12 · 2026-03-26 22:13:38

Can sets A, B and C be transitive or does transitivity hold just for individual relations. Also does missing relation prove this false?

score 122 · Answer 13 · 2026-03-24 16:42:44

122

Views

How many $g$ in a finite group are such that $b=g^{-1}ag$ for given $a\ne b$ in the group?

Published on 24 Mar 2026 - 16:42

score 76 · Answer 14 · 2026-03-25 08:24:41

76

Views

Are equivalence classes of subobjects of some X in Set just equivalence classes of subsets of X with a specific cardinality?

Published on 25 Mar 2026 - 8:24

score 482 · Answer 15 · 2026-03-27 07:53:21

482

Views

Vect$_{\mathbb{R}}$ is equivalent to the category of $T$ algebras for a monad Set $\to$ Set.

Published on 27 Mar 2026 - 7:53

List Question

Discrete mathematics, defining (+, *) operations on a equivalence relations.

Prove that $R\subseteq X\times X$ is an equivalence relation and construct its equivalence class

Find Equivalence Classes and the quotient set defined by the relationship in Reals.

About the equivalence relation on $\mathbb{Z}\times\mathbb{Z}\,$ s.t. $(a,b)\sim(c,d)\,$ if $\,2^{a^2+d^2}\equiv 2^{b^2+c^2} (\text{mod} \, 5)$

Characterizing the Graph of a Line as an Equivalence Class

Left and right inverses of functions.

The name "section" for the operation of selecting representatives of an equivalence class

Proving the Set of Rational Numbers is the collection of equivalence classes of ratios of integers with nonzero denominators.

If $a^n$ is equivalent to $b^n$ (mod c) then does this imply a is equivalent to b (mod c)?

When is a space homeomorphic to a quotient space?

Proof of equivalence relations

Can sets A, B and C be transitive or does transitivity hold just for individual relations. Also does missing relation prove this false?

How many $g$ in a finite group are such that $b=g^{-1}ag$ for given $a\ne b$ in the group?

Are equivalence classes of subobjects of some X in Set just equivalence classes of subsets of X with a specific cardinality?

Vect$_{\mathbb{R}}$ is equivalent to the category of $T$ algebras for a monad Set $\to$ Set.

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