Newbetuts
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New posts in equivalence-relations
$R$ is transitive if and only if $ R \circ R \subseteq R$
elementary-set-theory
relations
equivalence-relations
function-and-relation-composition
Why not just define equivalence relations on objects and morphisms for equivalent categories?
category-theory
equivalence-relations
Proving Equivalence Relations On A Set
discrete-mathematics
elementary-set-theory
logic
equivalence-relations
binary
Topology on the set of partitions
general-topology
measure-theory
compactness
equivalence-relations
set-partition
Equivalence closure
computer-science
relations
equivalence-relations
Is "have the same cardinality" a equivalence relation?
equivalence-relations
Why is the empty set finite?
general-topology
relations
equivalence-relations
When is the topological closure of an equivalence relation automatically an equivalence relation?
general-topology
equivalence-relations
What is the empty relation?
equivalence-relations
Proof of Equivalence Relation $R=\{(a,b)\in\Bbb N^2: 5\mid (2a+3b)\}$
discrete-mathematics
elementary-set-theory
equivalence-relations
If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$
abstract-algebra
ideals
equivalence-relations
quotient-spaces
Why do we need to define Lebesgue spaces using equivalence classes?
functional-analysis
equivalence-relations
almost-everywhere
How is the relation "the smallest element is the same" reflexive?
discrete-mathematics
elementary-set-theory
relations
equivalence-relations
Number of Equivalence relations of $\{1,2,3\}$
elementary-set-theory
equivalence-relations
Dependence of Axioms of Equivalence Relation? [duplicate]
abstract-algebra
elementary-set-theory
relations
equivalence-relations
How many equivalence relations on a set with 4 elements.
elementary-set-theory
relations
equivalence-relations
faq
Prove that $\sim$ defines an equivalence relation on $\mathbb{Z}$.
discrete-mathematics
relations
equivalence-relations
How to calculate equivalence relations
elementary-set-theory
discrete-mathematics
equivalence-relations
$ (a,b), (c,d) \in \mathbb{R} \times \mathbb{R}\ $ let us define a relation by $(a,b) \sim (c,d)$ if and only if $\ a + 2d = c+2b$
proof-verification
relations
equivalence-relations
Prove that a squared number is an equivalence relation of $-1\pmod{p}$ [duplicate]
prime-numbers
equivalence-relations
fermat-numbers
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