Recursive definition information

In mathematics and computer science, a recursive definition, or inductive definition, is used to define the elements in a set in terms of other elements...

answer A recursive step — a set of rules that reduces all successive cases toward the base case. For example, the following is a recursive definition of a...

noted that some definitions are "legal" or "coercive" – their object is to create or alter rights, duties, or crimes. A recursive definition, sometimes also...

In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all...

two types. This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest: t: v [t[1], ...

Church–Turing thesis). The μ-recursive functions are closely related to primitive recursive functions, and their inductive definition (below) builds upon that...

target of a tail is the same subroutine, the subroutine is said to be tail recursive, which is a special case of direct recursion. Tail recursion (or tail-end...

child and the right child. That is, it is a k-ary tree with k = 2. A recursive definition using set theory is that a binary tree is a tuple (L, S, R), where...

Recursive least squares (RLS) is an adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost...

_{k=0}^{n}{\binom {n}{k}}} If S is a finite set, then a recursive definition of P(S) proceeds as follows: If S = {}, then P(S) = { {} }. Otherwise...

"multidigraph". In a correspondence to the types of entities used in the recursive definition, each node of an apq is assigned a type (1), (2a), (2b), (2c) or...

entries of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n-tuples (ordered lists of n objects). For example, the...

the children. This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest: t: v [t[1], ...

Pfaffian of a skew-symmetric 2n×2n matrix A with n > 0 can be computed recursively as pf ⁡ ( A ) = ∑ j = 1 j ≠ i 2 n ( − 1 ) i + j + 1 + θ ( i − j ) a i...

machines, register machines, lambda calculus and general recursive functions. Before the precise definition of computable function, mathematicians often used...

A recursive acronym is an acronym that refers to itself, and appears most frequently in computer programming. The term was first used in print in 1979...

6-LUT, hence an entire ALM. An open-source Verilog generator for the recursive priority-encoder is available online. A behavioral description of priority...

into the definition of the rank of a set gives a self-contained recursive definition: The rank of a set is the smallest ordinal number strictly greater...

examples of a total computable function that is not primitive recursive. All primitive recursive functions are total and computable, but the Ackermann function...

few Laguerre polynomials: One can also define the Laguerre polynomials recursively, defining the first two polynomials as L 0 ( x ) = 1 {\displaystyle L_{0}(x)=1}...

numbers that is more efficient than the one given by their original recursive definition: ( m + 3 m ) B m = { m + 3 3 − ∑ j = 1 m 6 ( m + 3 m − 6 j ) B m...

}}n>0\end{cases}}} The recursive definition is equivalent to repeated exponentiation for natural heights; however, this definition allows for extensions...

Self-reference Self-refuting idea Recursive definition Revision theory Tautology Vicious circle principle "Circular Definition". Glossary of Linguistic Terms...