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...

in general category theory Element (mathematics), one of the constituents of set theory in mathematics Differential element, an infinitesimally small change...

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...

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...

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\}}...

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...

Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special...

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...

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...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

referred to as "Members" in military jargon Element (mathematics), an object that belongs to a mathematical set In object-oriented programming, a member...

forms an important element of the STEM academic disciplines. Prominent careers for professional mathematicians include mathematics teacher or professor...

Game theory – Mathematical models of strategic interactions Set (mathematics) – Collection of mathematical objects Element (mathematics) – Any one of...

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...

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...

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria...

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on...

The Fifth Element (French: Le Cinquième Élément) is a 1997 English-language French science-fiction action film conceived and directed by Luc Besson, and...

In mathematics, the term primitive element can mean: Primitive root modulo n, in number theory Primitive element (field theory), an element that generates...

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory. Informally put, the axiom of choice says that given any collection...

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...

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...

An Introduction to Abstract Mathematics. Berlin: Springer Science & Business Media. p. 22. ISBN 9781461209010. An element s of a magma such that ss =...

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...

In mathematics, the additive inverse of an element x, denoted −x, is the element that when added to x, yields the additive identity. This additive identity...

In mathematics, an injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to...

identity element E, the Erdős–Borwein constant ∈, notation indicating that an object is a member or element of a set: see Element (mathematics) E number...

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...