이항관계

수학노트
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노트

  1. next → ← prev Binary Relation Let P and Q be two non- empty sets.[1]
  2. We can also use binary relations to trace relationships between people or between any other objects.[2]
  3. There are many ways to specify and represent binary relations.[2]
  4. To represent a binary relation graphically, we can plot the ordered pairs of the relation as points on a coordinate plane.[2]
  5. Binary relations are used in many branches of mathematics to model a wide variety of concepts.[3]
  6. When X = Y, a binary relation is called a homogeneous relation (or endorelation).[3]
  7. In a binary relation, the order of the elements is important; if x ≠ y then xRy, but yRx can be true or false independently of xRy.[3]
  8. Such a binary relation is called a partial function .[3]
  9. This chapter provided a thorough self-contained introduction to binary relations.[4]
  10. Here we are going to define relation formally, first binary relation , then general n-ary relation .[5]
  11. For a binary relation, one often uses a symbol such as ∼ \sim and writes a ∼ b a \sim b instead of ( a , b ) ∈ ∼ (a,b) \in \sim .[6]
  12. Very often additional axioms or assumptions are added to the definition of binary relation in order to obtain useful structures.[7]
  13. If E is a non-empty set then by an order on E we mean a binary relation on E that is reflexive, anti-symmetric, and transitive.[8]
  14. Note: One may think of a binary relation as a binary function whose range is {true, false}.[9]
  15. Special cases of binary relations are transformations (see chapter Transformations) and permutations (see chapter "Permutations").[10]
  16. The product of binary relations is defined via composition of mappings, or equivalently, via concatenation of edges of directed graphs.[10]
  17. A binary relation is entered and displayed by giving its lists of successors as an argument to the function Relation .[10]
  18. This chapter describes finite binary relations in GAP3 and the functions that deal with them.[10]
  19. We can also define binary relations from a set on itself.[11]
  20. Now that we are more familiar with the concept of binary relations, let's take a look at a binary relation in mathematics.[11]
  21. A binary relation from a set X to a set Y is a subset of the product ..[12]
  22. Examples: < can be a binary relation over ℕ, ℤ, ℝ, etc.[12]
  23. The binary relation “equal to” satisfies transitivity but does not satisfy completeness.[12]
  24. Besides, we consider some properties of binary relations.[12]
  25. Any set of ordered pairs defines a binary relation.[13]
  26. An equivalence relation is defined to be a binary relation that is reflexive, symmetric, and transitive.[13]
  27. This chapter describes finite binary relations in GAP and the functions that deal with them.[14]
  28. I also give a characterization of the existence of a realizer of a binary relation defined on an abelian group.[15]
  29. Let be a nonempty set, and let be a binary relation on .[15]
  30. If and are two binary relations on , then denotes the set that results from removing the elements of from .[15]
  31. An ordered group is an abelian group equipped with a homogeneous binary relation .[15]

소스

  1. ↑ Binary Relation
  2. ↑ 2.0 2.1 2.2 Binary Relations
  3. ↑ 3.0 3.1 3.2 3.3 Binary relation
  4. ↑ Binary Relations
  5. ↑ Definition of Relation
  6. ↑ relation in nLab
  7. ↑ Binary Relations
  8. ↑ binary relation
  9. ↑ binary relation
  10. ↑ 10.0 10.1 10.2 10.3 GAP3 Manual: 76 Binary Relations
  11. ↑ 11.0 11.1 Binary Relations: Definition & Examples - Video & Lesson Transcript
  12. ↑ 12.0 12.1 12.2 12.3 binary relation example
  13. ↑ 13.0 13.1 symmetric binary relation
  14. ↑ GAP Manual: 88 Binary Relations
  15. ↑ 15.0 15.1 15.2 15.3 A Generalization of Arrow’s Lemma on Extending a Binary Relation

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'binary'}, {'LEMMA': 'relation'}]
  • [{'LOWER': '2-place'}, {'LEMMA': 'relation'}]
  • [{'LOWER': 'dyadic'}, {'LEMMA': 'relation'}]
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