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  2. Singleton pattern - Wikipedia

    en.wikipedia.org/wiki/Singleton_pattern

    Implementations of the singleton pattern ensure that only one instance of the singleton class ever exists and typically provide global access to that instance. Typically, this is accomplished by: Declaring all constructors of the class to be private, which prevents it from being instantiated by other objects

  3. Singleton (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Singleton_(mathematics)

    A set such as {{,,}} is a singleton as it contains a single element (which itself is a set, but not a singleton). A set is a singleton if and only if its cardinality is 1. In von Neumann's set-theoretic construction of the natural numbers, the number 1 is defined as the singleton {}.

  4. Initial and terminal objects - Wikipedia

    en.wikipedia.org/wiki/Initial_and_terminal_objects

    The empty set is the unique initial object in Set, the category of sets. Every one-element set ( singleton ) is a terminal object in this category; there are no zero objects. Similarly, the empty space is the unique initial object in Top , the category of topological spaces and every one-point space is a terminal object in this category.

  5. Partition of a set - Wikipedia

    en.wikipedia.org/wiki/Partition_of_a_set

    If D is the set of cards in a standard 52-card deck, the same-color-as relation on D – which can be denoted ~ C – has two equivalence classes: the sets {red cards} and {black cards}. The 2-part partition corresponding to ~ C has a refinement that yields the same-suit-as relation ~ S , which has the four equivalence classes {spades ...

  6. Set (abstract data type) - Wikipedia

    en.wikipedia.org/wiki/Set_(abstract_data_type)

    In C++, the Standard Template Library (STL) provides the set template class, which is typically implemented using a binary search tree (e.g. red–black tree); SGI's STL also provides the hash_set template class, which implements a set using a hash table. C++11 has support for the unordered_set template class, which is implemented using a hash ...

  7. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.

  8. Singleton - Wikipedia

    en.wikipedia.org/wiki/Singleton

    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

  9. Design Patterns - Wikipedia

    en.wikipedia.org/wiki/Design_Patterns

    The authors employ the term 'toolkit' where others might today use 'class library', as in C# or Java. In their parlance, toolkits are the object-oriented equivalent of subroutine libraries, whereas a 'framework' is a set of cooperating classes that make up a reusable design for a specific class of software. They state that applications are hard ...