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Repetition of a process
mathematics, iteration may refer to the process of iterating a function, i.e. applying a function repeatedly, using the output from one iteration as the input
Iteration
Object that enables processing collection items in order
typing import Iterator digits: list[int] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] squared_digits: Iterator[int] = map(lambda x: x**2, digits) # Iterating over this
Iterator
ITerating was a Wiki-based software guide, where users could find, compare and give reviews to software products. As of January 2021 the domain is listed
ITerating
Numerical approximation algorithm
approximation (called an "iterate") is derived from the previous ones. A specific implementation with termination criteria for a given iterative method like gradient
Iterative_method
Result of repeatedly applying a mathematical function
definition of an iterated function on a set X follows. Let X be a set and f: X → X be a function. Defining f n as the n-th iterate of f, where n is a
Iterated_function
Group of fictional characters
by American company Mattel, contained many characters in its various iterations as a toyline, the television series He-Man and the Masters of the Universe
List of He-Man and the Masters of the Universe characters
List_of_He-Man_and_the_Masters_of_the_Universe_characters
Eigenvalue algorithm
Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain increasingly
Rayleigh_quotient_iteration
Image reconstruction algorithms
Iterative reconstruction refers to iterative algorithms used to reconstruct 2D and 3D images in certain imaging techniques. For example, in computed tomography
Iterative_reconstruction
Inverse function to a tower of powers
In computer science, the iterated logarithm of n {\displaystyle n} , written log* n {\displaystyle n} (usually read "log star"), is the number of times
Iterated_logarithm
Character or punctuation mark used to represent a duplicated character or word
Iteration marks are characters or punctuation marks that represent a duplicated character or word. In Chinese, a smaller version of the character 二 (meaning
Iteration_mark
Iterative method for approximating eigenvectors
list, unless Q[:, k] = v / h[k, k - 1] else: # If that happens, stop iterating. return Q, h return Q, h Let Qn denote the m-by-n matrix formed by the
Arnoldi_iteration
Mathematical algorithm
In numerical analysis, inverse iteration (also known as the inverse power method) is an iterative eigenvalue algorithm. It allows one to find an approximate
Inverse_iteration
Type of integral of functions of multiple variables
In multivariable calculus, an iterated integral is the result of applying integrals to a function of more than one variable (for example f ( x , y ) {\displaystyle
Iterated_integral
Software design pattern
the iterator pattern is a design pattern in which an iterator is used to traverse a container and access the container's elements. The iterator pattern
Iterator_pattern
Development methodology
Iterative and incremental development is any combination of both iterative design (or iterative method) and incremental build model for development. Usage
Iterative and incremental development
Iterative_and_incremental_development
Standard example in game theory
asked about the results, John Nash remarked that rational behavior in the iterated version of the game can differ from that in a single-round version. This
Prisoner's_dilemma
Mathematical theorem
law of the iterated logarithm describes the magnitude of the fluctuations of a random walk. The original statement of the law of the iterated logarithm
Law_of_the_iterated_logarithm
Eigenvalue algorithm
In mathematics, power iteration (also known as the power method) is an eigenvalue algorithm: given a diagonalizable matrix A {\displaystyle A} , the algorithm
Power_iteration
Proposition in probability theory
in probability theory known as the law of total expectation, the law of iterated expectations (LIE), Adam's law, the tower rule, and the smoothing property
Law_of_total_expectation
In mathematics, an iterable cardinal is a type of large cardinal introduced by Gitman (2011), and Sharpe and Welch (2011), and further studied by Gitman
Iterable_cardinal
Method to improve accuracy of numerical solutions to systems of linear equations
Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations
Iterative_refinement
Limit type in multivariable calculus
In multivariable calculus, an iterated limit is a limit of a sequence or a limit of a function in the form lim m → ∞ lim n → ∞ a n , m = lim m → ∞ ( lim
Iterated_limit
Algorithm for finding zeros of functions
if the iteration is initialized at e, the next iterate is 0; if the iteration is initialized at a value larger than e, then the next iterate is negative
Newton's_method
Grammatical aspect expressing the repetition of an event on a single occasion
In linguistics, the iterative aspect (abbreviated iter), also called "semelfactive", "event-internal pluractionality", or "multiplicative", is a grammatical
Iterative_aspect
In statistics, iterated conditional modes is a deterministic algorithm for obtaining a configuration of a local maximum of the joint probability of a Markov
Iterated_conditional_modes
Design methodology
Iterative design is a design methodology based on a cyclic process of prototyping, testing, analyzing, and refining a product or process. Based on the
Iterative_design
Topics referred to by the same term
Look up iteration in Wiktionary, the free dictionary. Iteration means the act of repeating in the contexts of mathematics, computing and project management
Iteration_(disambiguation)
Method for constructing models of set theory
theory, iterated forcing is a method for constructing models of set theory by repeating Cohen's forcing method a transfinite number of times. Iterated forcing
Iterated_forcing
In computer science, iterative compression is an algorithmic technique for the design of fixed-parameter tractable algorithms, in which one element (such
Iterative_compression
In numerical linear algebra, the Chebyshev iteration is an iterative method for determining the solutions of a system of linear equations. The method
Chebyshev_iteration
Type of motorcycle
second iteration, called v2.0, was released in India, and in April 2014 it was released in Indonesia. In January 2017, the bike's third iteration, v3.0
Yamaha_YZF-R15
Class of algorithms
used to traverse infinite trees, see below. Traversing a tree involves iterating over all nodes in some manner. Because from a given node there is more
Tree_traversal
Fractal composed of triangles
and removing the triangles that are upside-down from the original, then iterating this step with each smaller triangle. Conversely, the fractal can also
Sierpiński_triangle
Type of numerical method
by splitting it into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. A coarse problem
Domain_decomposition_methods
The Landweber iteration or Landweber algorithm is an algorithm to solve ill-posed linear inverse problems, and it has been extended to solve non-linear
Landweber_iteration
Repeated application of an operation to a sequence
given by a magma. The act of iterating on a non-associative binary operation may be represented as a binary tree. The iterated binary operation is written
Iterated_binary_operation
Method of data analysis
component is removed, and we may proceed through p {\displaystyle p} iterations until all the variance is explained. PCA is most commonly used when many
Principal_component_analysis
American media conglomerate (1952-2005)
Viacom's board on June 14, 2005, and took effect on December 31. The second iterations of CBS Corporation and Viacom began trading on January 3, 2006. On August
Viacom_(1952–2005)
Fractal sets in complex dynamics of mathematics
with the property that all nearby values behave similarly under repeated iteration of the function, and the Julia set consists of values such that an arbitrarily
Julia_set
Algorithms for zeros of functions
necessarily mean that no root exists. Most numerical root-finding methods are iterative methods, producing a sequence of numbers that ideally converges towards
Root-finding_algorithm
Umbrella term for certain approaches to software development
process, the empirical evidence is limited and less than conclusive. Iterative and incremental software development methods can be traced back as early
Agile_software_development
In numerical mathematics, the Uzawa iteration is an algorithm for solving saddle point problems. It is named after Hirofumi Uzawa and was originally introduced
Uzawa_iteration
constructed procedures, iterating with successively diminished perturbations, converge to the maximum likelihood estimate. Iterated filtering methods have
Iterated_filtering
Iterative Viterbi decoding is an algorithm that spots the subsequence S of an observation O = {o1, ..., on} having the highest average probability (i
Iterative_Viterbi_decoding
Association football club in England
Club World Cup in 2021 and 2025, the latter being the contest's first iteration with 32 teams. Chelsea share rivalries with fellow London teams Arsenal
Chelsea_F.C.
WWE television programs
2024 to the present; the current iteration features performers from WWE's Raw and SmackDown brands. The first iteration of the show replaced Saturday Night
Saturday_Night's_Main_Event
Mathematical model for sequential decision making under uncertainty
(Policy iteration was invented by Howard to optimize Sears catalogue mailing, which he had been optimizing using value iteration.) Since policy iteration effectively
Markov_decision_process
In statistics, generalized iterative scaling (GIS) and improved iterative scaling (IIS) are two early algorithms used to fit log-linear models, notably
Generalized_iterative_scaling
American white supremacist hate group
conditions, particularly in the post-Civil War South. Across its three major iterations, the Klan has operated as a secret society made up of multiple affiliated
Ku_Klux_Klan
Indian singing competition
competition television franchise based on the Pop Idol format. Several iterations of the series have been produced by different companies. The first series
Indian_Idol
Association football club in England
blue and white colour scheme in the early 1900s, with the most common iteration of a claret shirt and sky blue sleeves first emerging in 1904. The earliest
West_Ham_United_F.C.
E-reader devices
lightest Kindle, at 5.98 ounce, until 2016's Kindle Oasis. The first-iteration Kindle Paperwhite was announced on September 6, 2012, and released on
Amazon_Kindle_devices
Arithmetic operation
numbers a {\displaystyle a} . Each of the operations above are defined by iterating the previous one; however, unlike the operations before it, tetration
Tetration
Control flow construct for executing code repeatedly
syntax known as a list comprehension, which is similar to enumeration, iterating over the contents of a list and transforming it into a new list.[citation
Loop_(statement)
Personifications of evil in Buddhism
in various legends, are often said to be Mara's daughters. In other iterations, Māra is inspired by Hindu myths about asuras, a class of titans or lesser
Mara_(demon)
Fatal system error screen
known as a stop error – is a critical error screen displayed in many iterations of Windows, a series of operating systems by Microsoft. It is used to
Blue_screen_of_death
Italian football club
original Padova was renamed Football Padova in order to allow the new iteration of Padova to use the original name of the club, Calcio Padova in 2015
Calcio_Padova
Optimization algorithm
Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e
Stochastic_gradient_descent
Heuristic pathfinding algorithm
Iterative deepening A* (IDA*) is a graph traversal and path search algorithm that can find the shortest path between a designated start node and any member
Iterative_deepening_A*
Use of grammar in a language to express number
number of times an event occurs, such as the semelfactive aspect, the iterative aspect, etc. For that use of the term, see "Grammatical aspect". Most
Grammatical_number
Complex plane fractal
created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function: z n + 1 = ( | Re ( z n ) | + i | Im ( z n ) | ) 2 +
Burning_Ship_fractal
Programming language
to C's three-statement for loop, Go's range expressions allow concise iteration over arrays, slices, strings, maps, and channels. Go contains the following
Go_(programming_language)
was then replaced by a red star during communist rule before the modern iteration of the Croat flag was adopted in 1990, one year before its independence
Flag_of_Croatia
Open source Firefox-based web browser
feature set to Arc in an open-source, non-Chromium environment, and for iterating on Firefox during a period of perceived stagnation. Liam Proven from The
Zen_Browser
consumers or inside retail channels. Each console includes sales from every iteration unless otherwise noted. The years correspond to when the first version
List of best-selling game consoles
List_of_best-selling_game_consoles
incarnations by team iteration. The codenames listed under Character are those used during the time frame of the particular iteration. Characters with more
List_of_Doom_Patrol_members
2000-originated Transformers TV series
incarnation, many characters having their names changed, some treated as new iterations of classic Transformers characters, the localized English adaptation aired
Transformers: Robots in Disguise (2000 TV series)
Transformers:_Robots_in_Disguise_(2000_TV_series)
Former men's national association football team representing Yugoslavia
pre-war Kingdom of Yugoslavia and the post-war SFR Yugoslavia, various iterations of the state were formally constituted in football, including the: Kingdom
Yugoslavia national football team
Yugoslavia_national_football_team
American television production and distribution studio
of the Columbia TriStar Television studio and the fourth and current iteration of what had originated as Columbia Pictures' television studio, Screen
Sony_Pictures_Television
Iterative interrogative technique
Five whys (or 5 whys) is an iterative interrogative technique used to explore the cause-and-effect relationships underlying a particular problem. The
Five_whys
Process of re-creating an extinct organism
traits of the original species. A natural process of de-extinction is iterative evolution. This occurs when a species becomes extinct, but then after
De-extinction
French adult-entertainment magazine
various iterations in Paris between 1963 and 2020. The magazine relaunched in 2026 under the direction of Éric Naulleau. The first iteration was relaunched
Lui
Chocolate and hazelnut flavoured spread
Italian company Ferrero and was introduced in 1964, although its first iteration dates to 1963. Pietro Ferrero owned a bakery in Alba, an Italian town
Nutella
Argentine footballer (1905–1966)
France. He was the top scorer of the 1930 FIFA World Cup, the inaugural iteration of the tournament. As manager, he led Argentina to victory at six South
Guillermo_Stábile
English punk rock band
Donaldson reformed the band with different musicians in 1982. The new iteration of the band played a leading role in the Rock Against Communism movement
Skrewdriver
Interlacing algorithm for raster images
image. Iterating again yields the 7-pass Adam7 scheme, where the first pass (1/8)2 = 1/64 (1.5625%) of the image. In principle this can be iterated, yielding
Adam7_algorithm
Subfamily of birds
other members of the family. They were called hæferblæte and various iterations of raredumla in Old English; the word "bittern" came to English from Old
Bittern
Mathematical map
dynamical system on it (equivalently, a recurrence relation). In particular, iterating a point x0 in [0, 1] gives rise to a sequence x n {\displaystyle x_{n}}
Tent_map
Method for the construction of fractals
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are
Iterated_function_system
Conditions for switching order of integration in calculus
gives the conditions under which a double integral can be computed as an iterated integral, i.e. by integrating in one variable at a time. Intuitively, just
Fubini's_theorem
Metaheuristic
improving neighbors are available. A simple modification consists of iterating calls to the local search routine, each time starting from a different
Iterated_local_search
Estimates values in an N-dimensional matrix
The iterative proportional fitting procedure (IPF or IPFP, also known as biproportional fitting or biproportion in statistics or economics (input-output
Iterative proportional fitting
Iterative_proportional_fitting
2017 studio album by Com Truise
Iteration is the second studio album by American electronic musician Seth Haley as Com Truise, released on June 16, 2017, by Ghostly International. It
Iteration_(album)
Branch of mathematics
by iterating a complex analytic mapping. This article focuses on the case of algebraic dynamics, where a polynomial or rational function is iterated. In
Complex_dynamics
Iterative impedance is the input impedance of an infinite chain of identical networks. It is related to the image impedance used in filter design, but
Iterative_impedance
Home video game console
third iteration of the console, the Mark III, was released in 1985. It provided an improved custom video display processor over previous iterations and
SG-1000
Name of two German Army Groups in the Eastern Front of World War II
the first Army Group Centre was renamed "Army Group North". The second iteration of Army Group Centre was formed by the redesignation of Army Group A as
Army_Group_Centre
Algorithm
Iterative closest point (ICP) is a point cloud registration algorithm employed to minimize the difference between two clouds of points. ICP is often used
Iterative_closest_point
Algorithms and methods of plotting the Mandelbrot set on a computing device
starting values in a repeating, or iterating calculation (described in detail below). The result of each iteration is used as the starting values for
Plotting algorithms for the Mandelbrot set
Plotting_algorithms_for_the_Mandelbrot_set
Method for division with remainder
Slow division algorithms produce one digit of the final quotient per iteration. Examples of slow division include restoring, non-performing restoring
Division_algorithm
Home video game console by Sony
game console developed by Sony Interactive Entertainment as the fifth iteration of their PlayStation brand. It was announced as the successor to the PlayStation
PlayStation_5
Professional wrestling stable
and existed between 1992 and 1994. Almost three decades later, a new iteration of Los Gringos Locos was formed as a tag team consisting of Dominik Mysterio
Los_Gringos_Locos
Grammatical aspect that indicates repeated action over multiple occasions or places
fr) of a word indicates repeated action but is not to be confused with iterative aspect. The frequentative form can be considered a separate but not completely
Frequentative
Algorithm to calculate eigenvalues
upper triangular matrix, multiply the factors in the reverse order, and iterate. Formally, let A be a real matrix of which we want to compute the eigenvalues
QR_algorithm
Group of fictional characters
Marvel Comics. It is part of a series of titles that features various iterations of the superhero team the Avengers, with this version of the team – unbeknownst
Dark_Avengers
Optimization algorithm
method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate function. The idea
Gradient_descent
Method for finding stationary points of a function
In calculus, Newton's method (also called Newton–Raphson) is an iterative method for finding the roots of a differentiable function f {\displaystyle f}
Newton's method in optimization
Newton's_method_in_optimization
Programming block of animated TV series
and AD) is an American animated programming block that has aired in two iterations on the Fox broadcast network, featuring a lineup solely made up of prime-time
Animation_Domination
Management framework
for teams to break work into goals to be completed within time-boxed iterations, called sprints. Each sprint is no longer than one month and commonly
Scrum_(project_management)
Number, approximately 3.14
the milü ('close ratio') and yuelü ('approximate ratio') respectively, iterating with Liu Hui's algorithm up to a 12,288-sided polygon. With a correct
Pi
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