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In computer science, corecursion is a type of operation that is dual to recursion.Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case.
The function calls itself recursively on a smaller version of the input (n - 1) and multiplies the result of the recursive call by n, until reaching the base case, analogously to the mathematical definition of factorial. Recursion in computer programming is exemplified when a function is defined in terms of simpler, often smaller versions of ...
A common algorithm design tactic is to divide a problem into sub-problems of the same type as the original, solve those sub-problems, and combine the results. This is often referred to as the divide-and-conquer method; when combined with a lookup table that stores the results of previously solved sub-problems (to avoid solving them repeatedly and incurring extra computation time), it can be ...
find can traverse and search through different file systems of partitions belonging to one or more storage devices mounted under the starting directory. [ 1 ] The possible search criteria include a pattern to match against the filename or a time range to match against the modification time or access time of the file.
The factorial function n! is recursively defined by the rules ! =, (+)! =!(+).This recursion is a primitive recursion because it computes the next value (n+1)! of the function based on the value of n and the previous value n! of the function.
Recursive selection - loads files in directory and in subdirectories. Undo an operation. Wide use of regular expressions: when selecting items, for search/replace, etc.. Reading of metadata such as ID3 and Exif tags, or creation/modification/last access time. Change length of names. Change case in various ways.
This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest: t: v [t[1], ..., t[k]] A tree t consists of a pair of a value v and a list of trees (its children). This definition is more compact, but somewhat messier: a tree consists of a pair of one type and a list another, which ...
A function's identity is based on its implementation. A lambda calculus function (or term) is an implementation of a mathematical function. In the lambda calculus there are a number of combinators (implementations) that satisfy the mathematical definition of a fixed-point combinator.