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e. In computer science, a for-loop or for loop is a control flow statement for specifying iteration. Specifically, a for-loop functions by running a section of code repeatedly until a certain condition has been satisfied. For-loops have two parts: a header and a body. The header defines the iteration and the body is the code that is executed ...
The fixed point iteration xn+1 = cos xn with initial value x1 = −1. An attracting fixed point of a function f is a fixed point xfix of f with a neighborhood U of "close enough" points around xfix such that for any value of x in U, the fixed-point iteration sequence is contained in U and converges to xfix. The basin of attraction of xfix is ...
Control flow. v. t. e. In computer science, control flow (or flow of control) is the order in which individual statements, instructions or function calls of an imperative program are executed or evaluated. The emphasis on explicit control flow distinguishes an imperative programming language from a declarative programming language.
Iteration. Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. In mathematics and computer science, iteration (along with the related technique of ...
An iterator allows a consumer to process each element of a collection while isolating the consumer from the internal structure of the collection. [ 2 ] The collection can store elements in any manner while the consumer can access them as a sequence. In object-oriented programming, an iterator class is usually designed in tight coordination with ...
If a function is bijective (and so possesses an inverse function), then negative iterates correspond to function inverses and their compositions. For example, f −1 ( x ) is the normal inverse of f , while f −2 ( x ) is the inverse composed with itself, i.e. f −2 ( x ) = f −1 ( f −1 ( x )) .
Python is a multi-paradigm programming language. Object-oriented programming and structured programming are fully supported, and many of their features support functional programming and aspect-oriented programming (including metaprogramming [70] and metaobjects). [71] Many other paradigms are supported via extensions, including design by ...
Functional programming. In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative programming paradigm in which function definitions are trees of expressions that map values to other values, rather than a sequence of imperative statements which ...