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Object–relational mapping (ORM, O/RM, and O/R mapping tool) in computer science is a programming technique for converting data between a relational database and the memory (usually the heap) of an object-oriented programming language.
Also simply application or app. Computer software designed to perform a group of coordinated functions, tasks, or activities for the benefit of the user. Common examples of applications include word processors, spreadsheets, accounting applications, web browsers, media players, aeronautical flight simulators, console games, and photo editors. This contrasts with system software, which is ...
By definition, a rational function is just a rational map whose range is the projective line. Composition of functions then allows us to " pull back " rational functions along a rational map, so that a single rational map f : V → W {\displaystyle f\colon V\to W} induces a homomorphism of fields K ( W ) → K ( V ) {\displaystyle K(W)\to K(V)} .
In theoretical computer science and formal language theory, a regular language (also called a rational language) [1] [2] is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to many modern regular expression engines, which are augmented with features that allow the recognition of non-regular languages).
In computer science, an associative array, map, symbol table, or dictionary is an abstract data type that stores a collection of (key, value) pairs, such that each possible key appears at most once in the collection. In mathematical terms, an associative array is a function with finite domain. [1] It supports 'lookup', 'remove', and 'insert ...
'Computational system' is not meant to mean a modern-day electronic computer. Rather, a computational system is a symbol manipulator that follows step-by-step functions to compute input and form output. Alan Turing describes this type of computer in his concept of a Turing machine.
Computational geometry applies computer algorithms to representations of geometrical objects. Theoretical computer science includes areas of discrete mathematics relevant to computing. It draws heavily on graph theory and mathematical logic. Included within theoretical computer science is the study of algorithms and data structures.
Rational relations that are partial functions, i.e. that relate every input string from Σ* to at most one Γ*, are called rational functions. Finite-state transducers are often used for phonological and morphological analysis in natural language processing research and applications.