곱집합

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  1. Answer: As we know that the Cartesian product is the multiplication of two sets to make the set of all ordered pairs.[1]
  2. The Cartesian product of sets refers to the product of two non-empty sets in an ordered way.[1]
  3. René Descartes invented the Cartesian product.[1]
  4. This operation is called the Cartesian product.[2]
  5. The Cartesian product \(|A \times A|\) is diagramed below.[2]
  6. The second is a Cartesian product of three sets; its elements are ordered triples (x, y, z).[2]
  7. One can similarly define the Cartesian product of n sets, also known as an n-fold Cartesian product, which can be represented by an n-dimensional array, where each element is an n-tuple.[3]
  8. Therefore, the existence of the Cartesian product of any two sets in ZFC follows from the axioms of pairing, union, power set, and specification.[3]
  9. The number of values in each element of the resulting set is equal to the number of sets whose Cartesian product is being taken; 2 in this case.[3]
  10. If a tuple is defined as a function on {1, 2, ..., n} that takes its value at i to be the ith element of the tuple, then the Cartesian product X 1 ×...[3]
  11. This means the power set \(\mathscr{P}(A)\) and the Cartesian product \(B^n\) have the same cardinality.[4]
  12. We now develop a relationship between the direct product for groups and the cartesian product for graphs.[5]
  13. Γ 1 , h ∈ Γ 2 } is also a subgroup of Γ, called the direct product of Γ 1 and Γ 2 .[5]
  14. We first extend the definition of cartesian product for graphs to Cayley color graphs, in the natural way.[5]
  15. Especially if the category is also a monoidal category with respect to some other tensor product, then one says “Cartesian product” to distinguish the two.[6]
  16. The Cartesian product of two sets and (also called the product set, set direct product, or cross product) is defined to be the set of all points where and .[7]
  17. It is denoted , and is called the Cartesian product since it originated in Descartes' formulation of analytic geometry.[7]
  18. The graph product is sometimes called the Cartesian product (Vizing 1963, Clark and Suen 2000).[7]
  19. This post contains five Haskell functions which compute the cartesian product using different techniques.[8]
  20. Isn’t it magnificently delightful that Haskell syntax almost has a direct correspondence to the mathematical notation used to define the cartesian product?![8]
  21. How would you implement the cartesian product in other ways?[8]
  22. How could you use the result of the cartesian product to make a multiplication table?[8]
  23. Utilizing the Kuratowski definition of ordered pairs, we can show that the Cartesian product of two sets can be constructed from the axioms of ZFC.[9]
  24. Indeed this absorbing property of the empty set is the only case in which a Cartesian product could result in the empty set.[9]
  25. Because our product notation allows us to denote the cartesian product of any indexed family of sets, it is natural for us to ask what is returned when the family consists of a single set.[9]
  26. The Cartesian product is analogous to the integer product we are familiar with in the following way: a Cartesian product can be ‘factored’ into its component sets.[9]
  27. If a is in type A and b is in type B then the type of pairs is written and is called the cartesian product .[10]
  28. The Nuprl notation is very similar to the set--theoretic notation, where a cartesian product is written ; we choose as the operator because it is a standard ASCII character while is not.[10]
  29. Knowing the cardinality of a Cartesian product helps us to verify that we have listed all of the elements of the Cartesian product.[11]
  30. The cartesian product comprises of two words – Cartesian and product.[12]
  31. Cartesian product of sets is not limited to only two sets.[12]
  32. If we take the Cartesian product of two sets as, R × R where R is the set of real numbers, that represents the entire two-dimensional Cartesian plane.[12]
  33. It is interesting to know what is the Cartesian product and what are ordered pairs.[12]
  34. Given a variable number of sets, * produce the Cartesian product of the given sets.[13]

소스

  1. ↑ 1.0 1.1 1.2 Cartesian Product of Sets: Introduction, Definition, Formulas, Videos, Q&A
  2. ↑ 2.0 2.1 2.2 1.2: The Cartesian Product
  3. ↑ 3.0 3.1 3.2 3.3 Cartesian product
  4. ↑ 4.4: Cartesian Products
  5. ↑ 5.0 5.1 5.2 Cartesian Product - an overview
  6. ↑ cartesian product in nLab
  7. ↑ 7.0 7.1 7.2 Cartesian Product -- from Wolfram MathWorld
  8. ↑ 8.0 8.1 8.2 8.3 Five Ways to Compute the Cartesian Product with Haskell
  9. ↑ 9.0 9.1 9.2 9.3 Cartesian Product
  10. ↑ 10.0 10.1 Cartesian Product
  11. ↑ Cardinality of Cartesian Products
  12. ↑ 12.0 12.1 12.2 12.3 Cartesian Product And Ordered Pairs
  13. ↑ Calculate the Cartesian Product of n Sets

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Spacy 패턴 목록

  • [{'LOWER': 'cartesian'}, {'LEMMA': 'product'}]
  • [{'LOWER': 'direct'}, {'LOWER': 'product'}, {'LOWER': 'of'}, {'LEMMA': 'set'}]
  • [{'LOWER': 'cartesian'}, {'LOWER': 'product'}, {'LOWER': 'of'}, {'LEMMA': 'set'}]
  • [{'LOWER': 'direct'}, {'LEMMA': 'product'}]
  • [{'LOWER': 'product'}, {'LOWER': 'of'}, {'LEMMA': 'set'}]
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