• In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing...
    7 KB (846 words) - 03:34, 23 March 2025
  • Thumbnail for Set (mathematics)
    called the empty set; a set with a single element is a singleton. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel...
    49 KB (7,041 words) - 08:59, 8 June 2025
  • In mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied...
    10 KB (742 words) - 17:06, 14 April 2025
  • In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...
    76 KB (11,410 words) - 20:15, 22 May 2025
  • Thumbnail for Group (mathematics)
    In mathematics, a group is a set with an operation that combines any two elements of the set to produce a third element within the same set and the following...
    103 KB (13,241 words) - 18:10, 10 June 2025
  • in general category theory Element (mathematics), one of the constituents of set theory in mathematics Differential element, an infinitesimally small change...
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  • Thumbnail for Greatest element and least element
    In mathematics, especially in order theory, the greatest element of a subset S {\displaystyle S} of a partially ordered set (poset) is an element of S...
    17 KB (2,870 words) - 12:36, 3 June 2025
  • In mathematics, a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}}...
    6 KB (828 words) - 18:55, 11 May 2025
  • Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special...
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  • forms an important element of the STEM academic disciplines. Prominent careers for professional mathematicians include mathematics teacher or professor...
    163 KB (15,943 words) - 18:43, 9 June 2025
  • In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...
    99 KB (13,738 words) - 11:06, 29 May 2025
  • Thumbnail for Bijection
    In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the...
    19 KB (2,508 words) - 09:01, 28 May 2025
  • In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures. These alternate meanings may or may...
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  • In mathematics, the term primitive element can mean: Primitive root modulo n, in number theory Primitive element (field theory), an element that generates...
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  • Thumbnail for Finite element method
    Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...
    59 KB (7,792 words) - 08:01, 25 May 2025
  • In mathematics, an absorbing element (or annihilating element) is a special type of element of a set with respect to a binary operation on that set. The...
    5 KB (586 words) - 15:45, 5 July 2024
  • In mathematics, the additive inverse of an element x, denoted −x, is the element that when added to x, yields the additive identity, 0 (zero). In the...
    9 KB (935 words) - 23:04, 30 May 2025
  • A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...
    75 KB (9,929 words) - 21:59, 28 May 2025
  • Game theory – Mathematical models of strategic interactions Set (mathematics) – Collection of mathematical objects Element (mathematics) – Any one of...
    10 KB (1,824 words) - 18:20, 19 February 2025
  • In mathematics, the additive identity of a set that is equipped with the operation of addition is an element which, when added to any element x in the...
    5 KB (697 words) - 21:39, 22 May 2025
  • referred to as "Members" in military jargon Element (mathematics), an object that belongs to a mathematical set In object-oriented programming, a member...
    1 KB (187 words) - 08:33, 8 March 2025
  • Thumbnail for Mathematical optimization
    Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria...
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  • Thumbnail for Applied mathematics
    Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...
    23 KB (2,439 words) - 05:48, 6 June 2025
  • Thumbnail for Field (mathematics)
    In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on...
    87 KB (10,305 words) - 21:38, 10 June 2025
  • Thumbnail for Equivalence class
    In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally...
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  • The Fifth Element (French: Le Cinquième Élément) is a 1997 English-language French science-fiction action film conceived and directed by Luc Besson, and...
    83 KB (7,860 words) - 10:43, 5 June 2025
  • In mathematics, a subset of a given set is closed under an operation on the larger set if performing that operation on members of the subset always produces...
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  • Thumbnail for Fixed point (mathematics)
    In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation...
    14 KB (1,696 words) - 10:48, 30 May 2025
  • Upper and lower bounds (category Mathematical terminology)
    In mathematics, particularly in order theory, an upper bound or majorant of a subset S of some preordered set (K, ≤) is an element of K that is greater...
    6 KB (687 words) - 03:33, 23 March 2025
  • In mathematics, a Casimir element (also known as a Casimir invariant or Casimir operator) is a distinguished element of the center of the universal enveloping...
    20 KB (3,663 words) - 00:25, 22 September 2024