Definition, Betydelse & Anagram | Engelska ordet RECURSION

Definition av RECURSION

1. (matematik) rekursion

Exempel på hur man kan använda RECURSION i en mening

• Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory).
• In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes, are defined in terms of each other.
• It supports recursion, structured programming, linked data structure handling, fixed-point, floating-point, complex, character string handling, and bit string handling.
• Quines are possible in any Turing-complete programming language, as a direct consequence of Kleene's recursion theorem.
• A simple base case (or cases) — a terminating scenario that does not use recursion to produce an answer.
• Reduction (recursion theory), given sets A and B of natural numbers, is it possible to effectively convert a method for deciding membership in B into a method for deciding membership in A?.
• One of the students of Alonzo Church, Kleene, along with Rózsa Péter, Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory, which subsequently helped to provide the foundations of theoretical computer science.
• These constraints mean there are no cycles or "loops" (no node can be its own ancestor), and also that each child can be treated like the root node of its own subtree, making recursion a useful technique for tree traversal.
• From the 1960s until his death, he was a central figure in a number of fields related to mathematical and modal logic, philosophy of language and mathematics, metaphysics, epistemology, and recursion theory.
• It was derived from the Value-oriented Algorithmic Language (VAL), designed by Jack Dennis, and adds recursion and finite streams.
• It teaches fundamental principles of computer programming, including recursion, abstraction, modularity, and programming language design and implementation.
• Kurzweil writes that this increase is one ingredient in the creation of artificial intelligence; the others are automatic knowledge acquisition and algorithms like recursion, neural networks, and genetic algorithms.
• The recursion theorems can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive definitions.
• Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
• The ALGOL family, with ALGOL 58 defined in 1958 and ALGOL 60 defined in 1960 by committees of European and American computer scientists, introduced recursion as well as nested functions under lexical scope.
• The Legendre functions of the second kind can also be defined recursively via Bonnet's recursion formula.
• Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz matrix.
• After, to paraphrase Knuth, "much detail", the chain is reduced to three elements and the fourth rule terminates the recursion.
• The following trivial example is written in the Java programming language and shows how a seemingly safe modification of a base class can cause an inheriting subclass to malfunction by entering an infinite recursion which will result in a stack overflow.
• On par with induction, well-founded relations also support construction of objects by transfinite recursion.

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