• properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion...
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  • calculus identities List of inequalities List of set identities and relations – Equalities for combinations of sets A Collection of Algebraic Identities Matrix...
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  • sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic...
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  • Thumbnail for Complement (set theory)
    of sets – Identities and relationships involving sets Intersection (set theory) – Set of elements common to all of some sets List of set identities and...
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  • representation theorem for Boolean algebras. List of set identities and relations – Equalities for combinations of sets Munkres 2000, p. 91. Bartle, Robert G...
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  • Thumbnail for Union (set theory)
    operation to a sequence List of set identities and relations – Equalities for combinations of sets Naive set theory – Informal set theories Symmetric difference –...
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  • inequality Tsirelson's inequality Comparison theorem List of mathematical identities Lists of mathematics topics List of set identities and relations...
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  • Hyperarithmetical set Analytical set Analytic set, Coanalytic set Suslin set Projective set Inhabited set Multiset List of set identities and relations – Equalities...
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  • sharp Glossary of set theory List of large cardinal properties List of properties of sets of reals List of set identities and relations Wilhelm Ackermann...
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  • Thumbnail for Intersection (set theory)
    algebraic geometry List of set identities and relations – Equalities for combinations of sets Logical conjunction – Logical connective AND MinHash – Data mining...
    12 KB (1,737 words) - 23:16, 26 December 2023
  • Thumbnail for Symmetric difference
    Exclusive or Fuzzy set Intersection (set theory) Jaccard index List of set identities and relations Logical graph Separable sigma algebras Set theory Symmetry...
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  • Thumbnail for List of trigonometric identities
    these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially...
    81 KB (12,163 words) - 04:31, 14 September 2024
  • Thumbnail for De Morgan's laws
    duality Homogeneity (linguistics) Isomorphism List of Boolean algebra topics List of set identities and relations Positive logic Copi, Irving M.; Cohen, Carl;...
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  • Algebra of sets Axiomatic set theory Internal set theory List of set identities and relations Set theory Set (mathematics) Partially ordered set "Earliest...
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  • map) if and only if the same is true of f : ( X , τ f ) → Y . {\displaystyle f:\left(X,\tau _{f}\right)\to Y.} List of set identities and relations – Equalities...
    6 KB (1,154 words) - 11:03, 8 December 2023
  • Thumbnail for Lists of mathematics topics
    of trigonometry List of trigonometric identities List of logarithmic identities List of integrals of logarithmic functions List of set identities and...
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  • {1}{k}}\right\}\right).} List of set identities and relations – Equalities for combinations of sets Set theory – Branch of mathematics that studies sets Resnick, Sidney...
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  • Thumbnail for Disjoint union
    Disjoint union (category Basic concepts in set theory)
    List of set identities and relations – Equalities for combinations of sets Partition of a set – Mathematical ways to group elements of a set Sum type –...
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  • {}; A ∩ B ⊆ A ⊆ A ∪ B. List of set identities and relations – Equalities for combinations of sets Edward Huntington (1904) "Sets of independent postulates...
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  • be a set S equipped with a binary operation ∗. Then an element e of S is called a left identity if e ∗ s = s for all s in S, and a right identity if s...
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  • List of war films and TV specials List of World War II films List of films set in ancient Rome List of films set in ancient Greece List of films set in...
    268 KB (562 words) - 04:44, 10 September 2024
  • Thumbnail for Set (mathematics)
    mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind:...
    41 KB (4,762 words) - 13:18, 19 September 2024
  • Thumbnail for Set theory
    operations on sets. The following is a partial list of them: Union of the sets A and B, denoted A ∪ B, is the set of all objects that are a member of A, or B...
    41 KB (5,028 words) - 20:39, 15 September 2024
  • Thumbnail for Infinite set
    In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. The set of natural numbers (whose existence...
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  • A (typically binary operations such as addition and multiplication), and a finite set of identities (known as axioms) that these operations must satisfy...
    20 KB (2,689 words) - 21:08, 27 August 2024
  • Thumbnail for National identity
    multiple ethnic and national identities within a single person or entity. Under international law, the term national identity, concerning states, is interchangeable...
    39 KB (4,252 words) - 15:11, 7 September 2024
  • Thumbnail for European Union–Turkey relations
    Relations between the European Union (EU) and Turkey were established in 1959, and the institutional framework was formalized with the 1963 Ankara Agreement...
    111 KB (10,127 words) - 19:35, 11 September 2024
  • Thumbnail for Venn diagram
    Venn diagram (redirect from Set diagram)
    diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict...
    30 KB (3,195 words) - 15:25, 17 August 2024
  • consistency relations among the maps dn,i and sn,i. Rather than requiring these simplicial identities explicitly as part of the definition, the short and elegant...
    23 KB (3,327 words) - 19:12, 4 March 2024
  • of sets. Beyond that, operations like the converse of a relation and the composition of relations are available, satisfying the laws of a calculus of...
    63 KB (8,832 words) - 17:38, 7 September 2024