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...

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

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...

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 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...

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...

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...

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...

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, 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...

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...

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

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

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...

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, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally...

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

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...

which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming...

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...