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...

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, 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, especially in order theory, the greatest element of a subset S {\displaystyle S} of a partially ordered set (poset) is an element of S...

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...

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

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

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...

is associative, it has an identity element, and every element of the set has an inverse element. Many mathematical structures are groups endowed with...

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

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

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, an element of a *-algebra is called positive if it is the sum of elements of the form a ∗ a {\displaystyle a^{*}a} . Let A {\displaystyle...

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 identity of a set that is equipped with the operation of addition is an element which, when added to any element x in the...

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...

theory, a branch of mathematics, an idempotent element or simply idempotent of a ring is an element a such that a2 = a. That is, the element is idempotent under...

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...

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

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

In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be...

In mathematics, a square-free element is an element r of a unique factorization domain R that is not divisible by a non-trivial square. This means that...

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, the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic...

In mathematical analysis, the maximum and minimum of a function are, respectively, the greatest and least value taken by the function. Known generically...