동치관계

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As the name and notation suggest, an equivalence relation is intended to define a type of equivalence among the elements of \(S\).^[1]
Every function \(f\) defines an equivalence relation on its domain, known as the equivalence relation associated with \(f\) .^[1]
then the equivalence relation associated with \(f\) is the trivial relation, and hence \(S\) is the only equivalence class.^[1]
The equivalence relation on \(S\) constructed in (10) is the equivalence relation associated with \(f\), as in (6).^[1]
Show that R is an Equivalence Relation.^[2]
Hence, Reflexive or Symmetric are Equivalence Relation but transitive may or may not be an equivalence relation.^[2]
So let's begin with a digraph explanation of an equivalence relation.^[3]
Some examples of equivalence relations to see why they're so basic is that the most fundamental one is equality.^[3]
Finally, whenever you have a partition of a set, you can define an equivalence relation.^[3]
And that is the story and multiple ways of understanding what equivalence relations are.^[3]
A relation that is reflexive, symmetric, and transitive is called an equivalence relation .^[4]
The last one enables me to point out how omnipresent equivalence relations actually are.^[5]
An equivalence relation is a relation which "looks like" ordinary equality of numbers, but which may hold between other kinds of objects.^[6]
Show that the less-than relation on the set of real numbers is not an equivalence relation.^[6]
Check each axiom for an equivalence relation.^[6]
Equivalence relations give rise to partitions.^[6]
equivalence relation Let \(A\) be a nonempty set.^[7]
For an equivalence relation, due to transitivity and symmetry, all the elements related to a fixed element must be related to each other.^[8]
An equivalence relation allows us to regard two equivalent objects as being the same for some particular purpose.^[9]
An ordering relation represents an equivalence relation if it is reflexive, symmetric, and transitive.^[9]
We have an equivalence relation on strings: \(x \sim y\) if we can rearrange the O's of \(x\) to form \(y\).^[10]
Members of a set are said to be in the same equivalence class if they have an equivalence relation.^[11]
Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes.^[12]
A binary relation ~ on a set X is said to be an equivalence relation, if and only if it is reflexive, symmetric and transitive.^[12]
Note that the equivalence relation generated in this manner can be trivial.^[12]
(binary relations viewed as a subset of × ) is also an equivalence relation.^[12]
The equivalence relation is a key mathematical concept that generalizes the notion of equality.^[13]
Any relation that can be defined using expressions like “have the same” or “are the same” is an equivalence relation.^[13]
Example 3 Determine whether the relation \(R\) given by the digraph is an equivalence relation.^[13]
Determine whether the relation \(R\) given by the digraph is an equivalence relation.^[13]
A setoid is a set equipped with an equivalence relation.^[14]
Then the equivalence relation on S S is a way of making S S into the set of objects of such a groupoid.^[14]
It may well be useful to consider several possible equivalence relations on a given set.^[14]
For the history of the notion of equivalence relation see this MO discussion.^[14]
Can we say the empty relation is an equivalence relation?^[15]
We can say that the empty relation on the empty set is considered as an equivalence relation.^[15]
But, the empty relation on the non-empty set is not considered as an equivalence relation.^[15]
An equivalence relation on a set is a subset of , i.e., a collection of ordered pairs of elements of , satisfying certain properties.^[16]

소스

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위키데이터

ID : Q130998

Spacy 패턴 목록

[{'LOWER': 'equivalence'}, {'LEMMA': 'relation'}]

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