A visual form of recursion known as the Droste effect. The woman in this image holds an object that contains a smaller image of her holding an identical object, which in turn contains a smaller image of herself holding an identical object, and so forth. 1904 Droste cocoa tin, designed by Jan Misset
Recursion occurs when the definition of a concept or process depends on a simpler or previous version of itself.[1] Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, where a function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values), it is often done in such a way that no infinite loop or infinite chain of references can occur.
A process that exhibits recursion is recursive.
^Causey, Robert L. (2006). Logic, sets, and recursion (2nd ed.). Sudbury, Mass.: Jones and Bartlett Publishers. ISBN 0-7637-3784-4. OCLC 62093042.
Recursion occurs when the definition of a concept or process depends on a simpler or previous version of itself. Recursion is used in a variety of disciplines...
In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes...
The Panjer recursion is an algorithm to compute the probability distribution approximation of a compound random variable S = ∑ i = 1 N X i {\displaystyle...
tail recursive, which is a special case of direct recursion. Tail recursion (or tail-end recursion) is particularly useful, and is often easy to optimize...
In the formal language theory of computer science, left recursion is a special case of recursion where a string is recognized as part of a language by the...
Recursion theorem can refer to: The recursion theorem in set theory Kleene's recursion theorem, also called the fixed point theorem, in computability theory...
The Britto–Cachazo–Feng–Witten recursion relations are a set of on-shell recursion relations in quantum field theory. They are named for their creators...
Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz...
and computer science, iteration (along with the related technique of recursion) is a standard element of algorithms. In mathematics, iteration may refer...
allowing infinite recursion of a specific sort—tail recursion—to occur without stack overflow. This works because tail-recursion calls do not take up...
15, 1978) is an American author known for books such as Dark Matter, Recursion, Upgrade, and his Wayward Pines Trilogy, which was adapted into a television...
depth of recursion. This could make recursion prohibitively expensive to use instead of imperative loops. However, a special form of recursion known as...
In computer science, anonymous recursion is recursion which does not explicitly call a function by name. This can be done either explicitly, by using a...
In computer programming, Walther recursion (named after Christoph Walther) is a method of analysing recursive functions that can determine if the function...
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated...
mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical...
In mathematics, topological recursion is a recursive definition of invariants of spectral curves. It has applications in enumerative geometry, random...
Tony Ballantyne may refer to: Tony Ballantyne (historian) (born 1972), New Zealand historian Tony Ballantyne (writer) (born 1972), British science-fiction...
parsing, left recursion must be eliminated. Direct recursion, be that left or right, is important in context-free grammars, because there recursion is the only...
Global Information