What does recursive definition mean?
Definitions for recursive definition
re·cur·sive def·i·ni·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word recursive definition.
Princeton's WordNet
recursive definitionnoun
(mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps
Wiktionary
recursive definitionnoun
A definition of a term within which the term itself appears, and that is well-founded, avoiding an infinite regress.
ChatGPT
recursive definition
A recursive definition is a definition where something is defined in terms of itself, meaning the term that is being defined appears in its own definition. This usually consists of base cases that provide a direct definition, and recurrence relations (or recursive cases) that provide a definition in terms of simpler or smaller instances of itself. This concept is often used in computer science, mathematics, and logic.
Wikidata
Recursive definition
In mathematical logic and computer science, a recursive definition is used to define an object in terms of itself. A recursive definition of a function defines values of the functions for some inputs in terms of the values of the same function for other inputs. For example, the factorial function n! is defined by the rules This definition is valid for all n, because the recursion eventually reaches the base case of 0. The definition may also be thought of as giving a procedure describing how to construct the function n!, starting from n = 0 and proceeding onwards with n = 1, n = 2, n = 3 etc.. That such a definition indeed defines a function can be proved by induction. An inductive definition of a set describes the elements in a set in terms of other elements in the set. For example, one definition of the set N of natural numbers is: ⁕1 is in N. ⁕If an element n is in N then n+1 is in N. ⁕N is the smallest set satisfying and. There are many sets that satisfy and - for example, the set {1, 1.649, 2, 2.649, 3, 3.649, ...} satisfies the definition. However, condition specifies the set of natural numbers by removing the sets with extraneous members.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of recursive definition in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of recursive definition in Pythagorean Numerology is: 9
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"recursive definition." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/recursive+definition>.
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