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In mathematics, a singleton (also known as a unit set [1] or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}} is a singleton whose single element is 0 {\displaystyle 0} .
A class diagram exemplifying the singleton pattern. In object-oriented programming, ... The following Java 5+ example [6] is a thread-safe implementation, ...
Singleton pattern, a design pattern that allows only one instance of a class to exist; Singleton bound, used in coding theory; Singleton variable, a variable that is referenced only once; Singleton, a character encoded with one unit in variable-width encoding schemes for computer character sets
That is, a topological space is totally separated if for every , the intersection of all clopen neighborhoods of is the singleton {}. Equivalently, for each pair of distinct points x , y ∈ X {\displaystyle x,y\in X} , there is a pair of disjoint open neighborhoods U , V {\displaystyle U,V} of x , y {\displaystyle x,y} such that X = U ⊔ V ...
A 1‑tuple is called a single (or singleton), a 2‑tuple is called an ordered pair or couple, and a 3‑tuple is called a triple (or triplet). The number n can be any nonnegative integer . For example, a complex number can be represented as a 2‑tuple of reals, a quaternion can be represented as a 4‑tuple, an octonion can be represented as ...
Examples include Singleton, Factory Method, and Observer. [ 35 ] [ 36 ] [ 37 ] Software Architecture Pattern refers to a reusable, proven solution to a recurring problem at the system level, addressing concerns related to the overall structure, component interactions, and quality attributes of the system.
If the space X is a metric space, for example a Euclidean space, then an element x of S is an isolated point of S if there exists an open ball around x that contains only finitely many elements of S. A point set that is made up only of isolated points is called a discrete set or discrete point set (see also discrete space).
The carrier (underlying set) associated with a unit type can be any singleton set. There is an isomorphism between any two such sets, so it is customary to talk about the unit type and ignore the details of its value. One may also regard the unit type as the type of 0-tuples, i.e. the product of no types.