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Formally, a rational map: between two varieties is an equivalence class of pairs (,) in which is a morphism of varieties from a non-empty open set to , and two such pairs (,) and (′ ′, ′) are considered equivalent if and ′ ′ coincide on the intersection ′ (this is, in particular, vacuously true if the intersection is empty, but since is assumed irreducible, this is impossible).
The maps to symbol, ↦, is a rightward arrow protruding from a vertical bar. It is used in mathematics and in computer science to denote functions.In Z notation, a specification language used in software development, [1] this symbol is called the maplet arrow and the expression x ↦ y is called a maplet.
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.
The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [5] [6] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [7] or they can be used to build a pointer based quadtree.
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 ...
An example of a formal specification (in Spanish) using the Z notation, with named schema boxes, including declarations and predicates. The Z notation / ˈ z ɛ d / is a formal specification language used for describing and modelling computing systems. [1] It is targeted at the clear specification of computer programs and computer-based systems ...
A complex rational function with degree one is a Möbius transformation. Rational functions are representative examples of meromorphic functions. [3] Iteration of rational functions on the Riemann sphere (i.e. a rational mapping) creates discrete dynamical systems. [4] Julia sets for rational maps
Many-one reductions map instances of one problem to instances of another; Turing reductions compute the solution to one problem, assuming the other problem is easy to solve. The many-one reduction is a stronger type of Turing reduction, and is more effective at separating problems into distinct complexity classes.