In set theory, the complement of a set A, often denoted by A∁{\displaystyle A^{\complement }} (or A′), is the set of elements not in A. When all elements... 12 KB (1,471 words) - 12:13, 17 March 2024 |
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations... 9 KB (1,241 words) - 02:59, 23 February 2024 |
set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures... 15 KB (1,865 words) - 20:37, 23 February 2024 |
In set theory, the intersection of two sets A{\displaystyle A} and B,{\displaystyle B,} denoted by A∩B,{\displaystyle A\cap B,} is the set containing... 12 KB (1,704 words) - 23:16, 26 December 2023 |
triangle, with ratio −1/2 Complement (set theory) Complementary event in probability Logical complement Bitwise complement Complements in boolean algebra Complementary... 3 KB (299 words) - 10:31, 13 April 2024 |
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any... 41 KB (5,015 words) - 22:14, 11 March 2024 |
Symmetric difference (redirect from Symmetric difference (set theory)) of sets Boolean function Complement (set theory) Difference (set theory) Exclusive or Fuzzy set Intersection (set theory) Jaccard index List of set identities... 16 KB (2,399 words) - 21:23, 5 March 2024 |
Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. Unlike axiomatic set theories, which are... 34 KB (4,711 words) - 07:25, 14 February 2024 |
Lattice (order) (redirect from Complement (order theory)) the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique... 40 KB (5,663 words) - 11:53, 31 January 2024 |
algebra of sets are some of the elementary properties of the algebra of union (infix operator: ∪), intersection (infix operator: ∩), and set complement (postfix... 5 KB (545 words) - 19:21, 25 July 2023 |
Borel set is Borel, not all analytic sets are Borel sets. A set is coanalytic if its complement is analytic. Many questions in descriptive set theory ultimately... 10 KB (1,506 words) - 08:10, 9 September 2023 |
In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that G=HK={hk:h∈H... 3 KB (394 words) - 23:32, 12 August 2023 |
Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces... 97 KB (15,521 words) - 03:54, 3 March 2024 |
In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in... 47 KB (6,252 words) - 16:33, 24 March 2024 |
Universe (mathematics) (redirect from Universe (set theory)) In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains... 18 KB (2,670 words) - 15:38, 4 February 2023 |
Element (mathematics) (redirect from Element (set theory)) "Set Theory", Stanford Encyclopedia of Philosophy, Metaphysics Research Lab, Stanford University Suppes, Patrick (1972) [1960], Axiomatic Set Theory,... 7 KB (782 words) - 08:58, 22 February 2024 |
In the mathematical field of graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices of... 9 KB (1,125 words) - 22:13, 23 June 2023 |
Class (set theory) Complement (set theory) Complete Boolean algebra Continuum (set theory) Suslin's problem Continuum hypothesis Countable set Descriptive... 9 KB (448 words) - 16:05, 3 August 2022 |
Cartesian product (redirect from Product set) In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in... 20 KB (2,818 words) - 05:24, 17 April 2024 |
In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently... 6 KB (675 words) - 18:41, 13 October 2022 |
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously... 8 KB (1,180 words) - 15:49, 26 February 2024 |
In measure theory, a conull set is a set whose complement is null, i.e., the measure of the complement is zero. For example, the set of irrational numbers... 1 KB (153 words) - 08:52, 17 October 2016 |
Outline of logic (section Set theory) number Codomain Complement (set theory) Constructible universe Continuum hypothesis Countable set Decidable set Denumerable set Disjoint sets Disjoint union... 24 KB (2,084 words) - 19:35, 14 March 2024 |
List of mathematical logic topics (section Set theory) Class (set theory) Complement (set theory) Complete Boolean algebra Continuum (set theory) Suslin's problem Continuum hypothesis Countable set Descriptive... 14 KB (1,012 words) - 19:53, 12 November 2023 |
functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W⊥ of all vectors in V that are... 12 KB (1,934 words) - 07:26, 11 March 2024 |
order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e... 8 KB (876 words) - 04:58, 27 April 2023 |
In computability theory, a set of natural numbers is called computable, recursive, or decidable if there is an algorithm which takes a number as input... 4 KB (583 words) - 10:05, 23 August 2022 |