"동치관계"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) (→메타데이터: 새 문단) |
Pythagoras0 (토론 | 기여) |
||
| 42번째 줄: | 42번째 줄: | ||
<references /> | <references /> | ||
| − | == 메타데이터 == | + | ==메타데이터== |
| − | |||
===위키데이터=== | ===위키데이터=== | ||
* ID : [https://www.wikidata.org/wiki/Q130998 Q130998] | * ID : [https://www.wikidata.org/wiki/Q130998 Q130998] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'equivalence'}, {'LEMMA': 'relation'}] | ||
2021년 2월 17일 (수) 01:49 기준 최신판
노트
- 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
- ↑ 1.0 1.1 1.2 1.3 Equivalence Relations
- ↑ 2.0 2.1 Equivalence Relations
- ↑ 3.0 3.1 3.2 3.3 Electrical Engineering and Computer Science
- ↑ equivalence relation
- ↑ Equivalence Relationship
- ↑ 6.0 6.1 6.2 6.3 Equivalence Relations
- ↑ 7.2: Equivalence Relations
- ↑ 6.3: Equivalence Relations and Partitions
- ↑ 9.0 9.1 Equivalence Relation - an overview
- ↑ Equivalence relations (CS 2800, Fall 2017)
- ↑ Equivalence relation | mathematics and logic
- ↑ 12.0 12.1 12.2 12.3 Equivalence relation
- ↑ 13.0 13.1 13.2 13.3 Equivalence Relations
- ↑ 14.0 14.1 14.2 14.3 equivalence relation in nLab
- ↑ 15.0 15.1 15.2 Definition, Proof and Examples
- ↑ Equivalence Relation -- from Wolfram MathWorld
메타데이터
위키데이터
- ID : Q130998
Spacy 패턴 목록
- [{'LOWER': 'equivalence'}, {'LEMMA': 'relation'}]