For enumeration types in programming languages, see Enumerated type. For enumeration algorithms, see Enumeration algorithm.
An enumeration is a complete, ordered listing of all the items in a collection. The term is commonly used in mathematics and computer science to refer to a listing of all of the elements of a set. The precise requirements for an enumeration (for example, whether the set must be finite, or whether the list is allowed to contain repetitions) depend on the discipline of study and the context of a given problem.
Some sets can be enumerated by means of a natural ordering (such as 1, 2, 3, 4, ... for the set of positive integers), but in other cases it may be necessary to impose a (perhaps arbitrary) ordering. In some contexts, such as enumerative combinatorics, the term enumeration is used more in the sense of counting – with emphasis on determination of the number of elements that a set contains, rather than the production of an explicit listing of those elements.
mathematics concerned with enumerating in this sense objects of special kinds. For instance, in partition enumeration and graph enumeration the objective is to...
Look up enumerator in Wiktionary, the free dictionary. Enumerator may refer to: Iterator (computer science) An enumerator in the context of iteratees...
operating system runs on them. Network enumeration is the discovery of hosts or devices on a network. Network enumeration tends to use overt discovery protocols...
Enumerate could refer to: Enumeration, a mathematical, theoretical concept of an exhaustive listing of compatible items Enumerate (project), a collaborative...
In computer programming, an enumerated type (also called enumeration, enum, or factor in the R programming language, and a categorical variable in statistics)...
= n!. The problem of finding a closed formula is known as algebraic enumeration, and frequently involves deriving a recurrence relation or generating...
machine, and thus a set S is computably enumerable if and only if there is some algorithm which yields an enumeration of S. This cannot be taken as a formal...
in each household. Depending on the mode of enumeration, a form is sent to the householder, an enumerator calls, or administrative records for the dwelling...
finite order, coset enumeration gives the order of G as well. For small groups it is sometimes possible to perform a coset enumeration by hand. However,...
Algebraic enumeration is a subfield of enumeration that deals with finding exact formulas for the number of combinatorial objects of a given type, rather...
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input, the enumeration algorithm must produce the list of all solutions, without duplicates, and then halt. The performance of an enumeration algorithm...
combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or...
In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by...
The Common Weakness Enumeration (CWE) is a category system for hardware and software weaknesses and vulnerabilities. It is sustained by a community project...
recursively enumerable (also recognizable, partially decidable, semidecidable, Turing-acceptable or Turing-recognizable) if it is a recursively enumerable subset...
In coding theory, the weight enumerator polynomial of a binary linear code specifies the number of words of each possible Hamming weight. Let C ⊂ F 2 n...
to 1 April 2023. However, enumeration was later extended several times until 30 May 2023, because of incomplete enumeration in large cities such as Karachi...
details gleaned from the text about its production Copies Examined—an enumeration of the copies examined, including those copies' location (i.e. belonging...
Basketball-Reference.com enumeration of NBA career leaders in points scored National Basketball Association official website enumeration of NBA career leaders...
National Archives and Records Administration released scanned census enumeration sheets to the general public, in accordance with the 72 year rule. The...
that, by enumerating particular exceptions to the grant of power, it would disparage those rights which were not placed in that enumeration; and it might...
Indian census was conducted in two phases, house listing and population enumeration. The House listing phase began on 1 April 2010 and involved the collection...
principally distinguishing ό,τι (ó,ti, 'whatever') from ότι (óti, 'that'). The enumeration or ideographic comma (U+3001 、 IDEOGRAPHIC COMMA) is used in Chinese...
used to reach inductive generalizations are enumerative induction and eliminative induction. Enumerative induction is an inductive method in which a generalization...
known as the vertex enumeration problem and the problem of the construction of a H-representation is known as the facet enumeration problem. While the...
to be conducted in two phases, a house listing phase and a population enumeration phase. Although initially the house listing was to begin in April 2020...