# recursion

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Related to recursion: recursion formula, Tail recursion

## re·cur·sion

(rĭ-kûr′zhən)
n.
1. Mathematics
a. A method of defining a sequence of objects, such as an expression, function, or set, where some number of initial objects are given and each successive object is defined in terms of the preceding objects. The Fibonacci sequence is defined by recursion.
b. A set of objects so defined.
c. A rule describing the relation between an object in a recursive sequence in terms of the preceding objects.
2. Linguistics The property of languages in which a structure, such as a phrase or clause, may form a part of a larger structure of the same kind, allowing for a potentially infinite variety of constructions.

[Late Latin recursiō, recursiōn-, a running back, from Latin recursus, past participle of recurrere, to run back; see recur.]

## recursion

(rɪˈkɜːʃən)
n
1. the act or process of returning or running back
2. (Logic) logic maths the application of a function to its own values to generate an infinite sequence of values. The recursion formula or clause of a definition specifies the progression from one term to the next, as given the base clause f(0) = 0, f(n + 1) = f(n) + 3 specifies the successive terms of the sequence f(n) = 3n
3. (Mathematics) logic maths the application of a function to its own values to generate an infinite sequence of values. The recursion formula or clause of a definition specifies the progression from one term to the next, as given the base clause f(0) = 0, f(n + 1) = f(n) + 3 specifies the successive terms of the sequence f(n) = 3n
[C17: from Latin recursio, from recurrere recur]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 recursion - (mathematics) an expression such that each term is generated by repeating a particular mathematical operationformula, rule - (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials"math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
Translations
References in periodicals archive ?
En este sentido, es mas adecuado hablar de estructura inductiva que de estructura recursiva dado que, aunque a veces se empleen de manera intercambiable, la definicion inductiva y la definicion por recursion son ciertamente diferentes.
His output of linguistic papers climaxed in 2002 with his theory of recursion. Recursion consists of "putting one sentence, one thought, inside another in a series that, theoretically, could be endless." He asserted, as Wolfe explains, that "Every language depended on recursion--every language.
The automaker had unveiled the Recursion turbocharged bike as a concept a few years ago.
The first approach is the method of undetermined coefficients (see, e.g., [10, 14, 29, 30]) in the ADM which approximates the constants of integration embedded in the recursion scheme of the ADM by solving numerically a sequence of nonlinear algebraic equations obtained by employing boundary conditions.
A few years later, with two colleagues, Chomsky introduced another concept, recursion. Recursion occurs when the speaker puts into a simple sentence one thought inside another.
Salt Lake City, UT, September 15, 2016 --(PR.com)-- Recursion Pharmaceuticals, an exciting biotech company located in the University of Utah's Research Park, today announced a \$223,000 Phase I Small Business Innovation Research award from the National Institutes of Health (NIH) via the National Institute on Aging (NIA).
The dancers from the ensemble will present the tango through a historical recursion of the music of Piazzolla, Mendizabal, Villoldo, Donato, Plaza, Gardel, and Ziegler.
The world of experiences reveals three fundamental Laws of Nature, reflected in quantum mechanics (QM) but even beyond to psychophysical, mental, in fact in all human endeavors, and in the way Consciousness objectifies the world: Complementarity, recursion, and creative interactivity.
Additionally, based on the recursion-function matrix, according to that exposed by Mendoza (2009), a correlation was established among the company's recursion (referred to its structure, reflected in its organizational diagram or map of processes) and its functions, as seen in Figure 1.
Thus, the components [u.sub.n] and [v.sub.n] can be elegantly determined by setting the new modified recursion scheme
You'll learn how to: Harness the power of repeat loops and recursion; Use if/else statements and logical operators to make decisions; Store data in variables and lists to use later in your program; Read, store, and manipulate user input; Implement key computer science algorithms like a linear search and bubble sort.
From the recursion relations in (20), the first few results can be obtained as follows:

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