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...

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, 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 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, 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...

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

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\}}...

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

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

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

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...

In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures. These alternate meanings may or may...

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

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

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...

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...

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...

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

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...

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

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

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

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

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...

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, 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...

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...

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...

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...