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Control charts are graphical plots used in production control to determine whether quality and manufacturing processes are being controlled under stable conditions. (ISO 7870-1)
The hourly status is arranged on the graph, and the occurrence of abnormalities is judged based on the presence of data that differs from the... | Wikipedia/Control_chart |
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems such as certain integrals.
Their respective names stem from their integral definitions, which are defined similarly to the gamma function but with different or "incompl... | Wikipedia/Incomplete_gamma_function |
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K. In this case, one speaks of... | Wikipedia/Rational_functions |
REDUCE is a general-purpose computer algebra system originally geared towards applications in physics.
The development of REDUCE was started in 1963 by Anthony C. Hearn; since then, many scientists from all over the world have contributed to its development. REDUCE was open-sourced in December 2008 and is available for... | Wikipedia/Reduce_(computer_algebra_system) |
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones. ... | Wikipedia/Polynomial_division_algorithm |
In mathematics, Liouville's theorem, originally formulated by French mathematician Joseph Liouville in 1833 to 1841, places an important restriction on antiderivatives that can be expressed as elementary functions.
The antiderivatives of certain elementary functions cannot themselves be expressed as elementary function... | Wikipedia/Liouville's_theorem_(differential_algebra) |
In the mathematical study of partial differential equations, the Bateman transform is a method for solving the Laplace equation in four dimensions and wave equation in three by using a line integral of a holomorphic function in three complex variables. It is named after the mathematician Harry Bateman, who first publi... | Wikipedia/Bateman_transform |
In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition. The importance of such functions lies in the fact that their function space is similar to Lp spaces, but its ... | Wikipedia/Locally_integrable_function |
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 b... | Wikipedia/Radon_transform |
In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). The Hilbert transform is given by the Cauchy principal value of the convolution with the function
... | Wikipedia/Hilbert_transform |
In mathematics, Legendre transform is an integral transform named after the mathematician Adrien-Marie Legendre, which uses Legendre polynomials
P
n
(
x
)
{\displaystyle P_{n}(x)}
as kernels of the ... | Wikipedia/Legendre_transform_(integral_transform) |
In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind Jν(kr). The Bessel functions in the sum are all of the same order ν, but differ in a scaling factor k along the r axis. The necessary coefficient Fν of each Bessel funct... | Wikipedia/Hankel_transform |
In machine learning, kernel machines are a class of algorithms for pattern analysis, whose best known member is the support-vector machine (SVM). These methods involve using linear classifiers to solve nonlinear problems. The general task of pattern analysis is to find and study general types of relations (for example ... | Wikipedia/Kernel_method |
In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing the odd component of the function plus cosine waves representing the even component of the function. The modern Fourier transform concisely contains both the sine and co... | Wikipedia/Fourier_sine_transform |
In mathematics, the Riemann–Lebesgue lemma, named after Bernhard Riemann and Henri Lebesgue, states that the Fourier transform or Laplace transform of an L1 function vanishes at infinity. It is of importance in harmonic analysis and asymptotic analysis.
== Statement ==
Let
f
∈
... | Wikipedia/Riemann–Lebesgue_lemma |
In mathematics, Laguerre transform is an integral transform named after the mathematician Edmond Laguerre, which uses generalized Laguerre polynomials
L
n
α
(
x
)
{\dis... | Wikipedia/Laguerre_transform |
In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially symmetric functions. The Abel transform of a function f(r) is given by
F
(
y
)
=
2
∫... | Wikipedia/Abel_transform |
In mathematics, the Hermite transform is an integral transform named after the mathematician Charles Hermite that uses Hermite polynomials
H
n
(
x
)
{\displaystyle H_{n}(x)}
as kernels of the transf... | Wikipedia/Hermite_transform |
In mathematics, Jacobi transform is an integral transform named after the mathematician Carl Gustav Jacob Jacobi, which uses Jacobi polynomials
P
n
α
,
β
(
x
)
... | Wikipedia/Jacobi_transform |
In mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions to real-valued functions. It was proposed as an alternative to the Fourier transform by Ralph V. L. Hartley in 1942, and is one of many known Fourier-related tran... | Wikipedia/Hartley_transform |
In mathematics, the Weierstrass transform of a function
f
:
R
→
R
{\displaystyle f:\mathbb {R} \to \mathbb {R} }
, named after Karl Weierstrass, is a "smoothed" version of
f
... | Wikipedia/Weierstrass_transform |
In mathematics, the X-ray transform (also called ray transform or John transform) is an integral transform introduced by Fritz John in 1938 that is one of the cornerstones of modern integral geometry. It is very closely related to the Radon transform, and coincides with it in two dimensions. In higher dimensions, the X... | Wikipedia/X-ray_transform |
In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing the odd component of the function plus cosine waves representing the even component of the function. The modern Fourier transform concisely contains both the sine and co... | Wikipedia/Fourier_cosine_transform |
In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, wh... | Wikipedia/equation |
In mathematics, an almost periodic function is, loosely speaking, a function of a real variable that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Ab... | Wikipedia/Almost_periodic_function |
In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v are periods of a function ƒ means that
f
(
z
... | Wikipedia/Doubly_periodic_function |
In mathematics, the Hill equation or Hill differential equation is the second-order linear ordinary differential equation
d
2
y
... | Wikipedia/Hill_differential_equation |
In mathematics, a quasiperiodic function is a function that has a certain similarity to a periodic function. A function
f
{\displaystyle f}
is quasiperiodic with quasiperiod
ω
{\displaystyle \omega }
if
f
... | Wikipedia/Quasiperiodic_function |
In mathematics, the double Fourier sphere (DFS) method is a technique that transforms a function defined on the surface of the sphere to a function defined on a rectangular domain while preserving periodicity in both the longitude and latitude directions.
== Introduction ==
First, a function
f... | Wikipedia/Double_Fourier_sphere_method |
Frequency is the number of occurrences of a repeating event per unit of time. Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light.
The interval of time between events ... | Wikipedia/Period_(physics) |
Floquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the form
x
˙
=
A
(
t
... | Wikipedia/Floquet_theory |
In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several complex variables. The de... | Wikipedia/Algebraic_geometry_and_analytic_geometry |
In mathematics, differential of the first kind is a traditional term used in the theories of Riemann surfaces (more generally, complex manifolds) and algebraic curves (more generally, algebraic varieties), for everywhere-regular differential 1-forms. Given a complex manifold M, a differential of the first kind ω is the... | Wikipedia/Differential_of_the_first_kind |
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles. It relates the complex analysis of a connected compact Riemann surface with the su... | Wikipedia/Riemann–Roch_theorem_for_algebraic_curves |
In mathematics, Weber's theorem, named after Heinrich Martin Weber, is a result on algebraic curves. It states the following.
Consider two non-singular curves C and C′ having the same genus g > 1. If there is a rational correspondence φ between C and C′, then φ is a birational transformation.
== References ==
Coolid... | Wikipedia/Weber's_theorem_(Algebraic_curves) |
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
== In calculus and analysis ==
In calculus, a function
... | Wikipedia/Monotone_function |
In mathematics, the Nagata conjecture on curves, named after Masayoshi Nagata, governs the minimal degree required for a plane algebraic curve to pass through a collection of very general points with prescribed multiplicities.
== History ==
Nagata arrived at the conjecture via work on the 14th problem of Hilbert, whi... | Wikipedia/Nagata's_conjecture_on_curves |
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while a... | Wikipedia/Algebraic_set |
The sheaf of rational functions KX of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry. In the case of algebraic varieties, such a sheaf associates to each open set U the ring of all rational functions on that open set; in other wo... | Wikipedia/Function_field_(scheme_theory) |
In mathematics, vector bundles on algebraic curves may be studied as holomorphic vector bundles on compact Riemann surfaces, which is the classical approach, or as locally free sheaves on algebraic curves C in a more general, algebraic setting (which can for example admit singular points).
Some foundational results on ... | Wikipedia/Vector_bundles_on_algebraic_curves |
In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are commonly called conjugates in contexts where this is not ambiguous. Normally α itself is ... | Wikipedia/Algebraic_conjugate |
In mathematics, if A is an associative algebra over K, then an element a of A is an algebraic element over K, or just algebraic over K, if there exists some non-zero polynomial
g
(
x
)
∈
K
[
x
]
{\displaystyle g(x)\i... | Wikipedia/Algebraic_element |
In mathematics, the gonality of an algebraic curve C is defined as the lowest degree of a nonconstant rational map from C to the projective line. In more algebraic terms, if C is defined over the field K and K(C) denotes the function field of C, then the gonality is the minimum value taken by the degrees of field exten... | Wikipedia/Gonality_of_an_algebraic_curve |
Schoof's algorithm is an efficient algorithm to count points on elliptic curves over finite fields. The algorithm has applications in elliptic curve cryptography where it is important to know the number of points to judge the difficulty of solving the discrete logarithm problem in the group of points on an elliptic cur... | Wikipedia/Schoof's_algorithm |
The Schoof–Elkies–Atkin algorithm (SEA) is an algorithm used for finding the order of or calculating the number of points on an elliptic curve over a finite field. Its primary application is in elliptic curve cryptography. The algorithm is an extension of Schoof's algorithm by Noam Elkies and A. O. L. Atkin to signific... | Wikipedia/Schoof–Elkies–Atkin_algorithm |
In algebraic geometry, Brill–Noether theory, introduced by Alexander von Brill and Max Noether (1874), is the study of special divisors, certain divisors on a curve C that determine more compatible functions than would be predicted. In classical language, special divisors move on the curve in a "larger than expected" l... | Wikipedia/Brill–Noether_theory |
The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time accor... | Wikipedia/Lotka–Volterra_equations |
Hydrostatics is the branch of fluid mechanics that studies fluids at hydrostatic equilibrium and "the pressure in a fluid or exerted by a fluid on an immersed body". The word "hydrostatics" is sometimes used to refer specifically to water and other liquids, but more often it includes both gases and liquids, whether com... | Wikipedia/Fluid_statics |
In continuum mechanics, plate theories are mathematical descriptions of the mechanics of flat plates that draw on the theory of beams. Plates are defined as plane structural elements with a small thickness compared to the planar dimensions. The typical thickness to width ratio of a plate structure is less than 0.1. ... | Wikipedia/Plate_theory |
Sandwich theory describes the behaviour of a beam, plate, or shell which consists of three layers—two facesheets and one core. The most commonly used sandwich theory is linear and is an extension of first-order beam theory. The linear sandwich theory is of importance for the design and analysis of sandwich panels, wh... | Wikipedia/Sandwich_theory |
In fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section.
It can be successfu... | Wikipedia/Poiseuille_equation |
In continuum mechanics, shearing refers to the occurrence of a shear strain, which is a deformation of a material substance in which parallel internal surfaces slide past one another. It is induced by a shear stress in the material. Shear strain is distinguished from volumetric strain. The change in a material's volu... | Wikipedia/Shearing_(physics) |
Elastography is any of a class of medical imaging diagnostic methods that map the elastic properties and stiffness of soft tissue. The main idea is that whether the tissue is hard or soft will give diagnostic information about the presence or status of disease. For example, cancerous tumours will often be harder than t... | Wikipedia/Elastography |
In solid mechanics, the Johnson–Holmquist damage model is used to model the mechanical behavior of damaged brittle materials, such as ceramics, rocks, and concrete, over a range of strain rates. Such materials usually have high compressive strength but low tensile strength and tend to exhibit progressive damage under ... | Wikipedia/Johnson–Holmquist_damage_model |
Damage mechanics is concerned with the representation, or modeling, of damage of materials that is suitable for making engineering predictions about the initiation, propagation, and fracture of materials without resorting to a microscopic description that would be too complex for practical engineering analysis.
Damage ... | Wikipedia/Damage_mechanics |
In thermodynamics, the Helmholtz free energy (or Helmholtz energy) is a thermodynamic potential that measures the useful work obtainable from a closed thermodynamic system at a constant temperature (isothermal). The change in the Helmholtz energy during a process is equal to the maximum amount of work that the system c... | Wikipedia/Helmholtz_free_energy |
In material science, resilience is the ability of a material to absorb energy when it is deformed elastically, and release that energy upon unloading. Proof resilience is defined as the maximum energy that can be absorbed up to the elastic limit, without creating a permanent distortion. The modulus of resilience is def... | Wikipedia/Resilience_(materials_science) |
A strain energy density function or stored energy density function is a scalar-valued function that relates the strain energy density of a material to the deformation gradient.
W
=
W
^
(... | Wikipedia/Strain_energy_density_function |
In the thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a mathematical function relating several state variables or state quantities (that describe equilibrium states of a system) that depend only on the current equilibrium thermodynamic state of the sy... | Wikipedia/Functions_of_state |
Acoustic theory is a scientific field that relates to the description of sound waves. It derives from fluid dynamics. See acoustics for the engineering approach.
For sound waves of any magnitude of a disturbance in velocity, pressure, and density we have
... | Wikipedia/Acoustic_theory |
In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. In this case, the undeformed and deformed configurations of the con... | Wikipedia/Cauchy-Green_deformation_tensor |
Structural mechanics or mechanics of structures is the computation of deformations, deflections, and internal forces or stresses (stress equivalents) within structures, either for design or for performance evaluation of existing structures. It is one subset of structural analysis. Structural mechanics analysis needs in... | Wikipedia/Structural_mechanics |
Algorithm engineering focuses on the design, analysis, implementation, optimization, profiling and experimental evaluation of computer algorithms, bridging the gap between algorithmics theory and practical applications of algorithms in software engineering.
It is a general methodology for algorithmic research.
== Ori... | Wikipedia/Algorithm_engineering |
Algorithm aversion is defined as a "biased assessment of an algorithm which manifests in negative behaviors and attitudes towards the algorithm compared to a human agent." This phenomenon describes the tendency of humans to reject advice or recommendations from an algorithm in situations where they would accept the sam... | Wikipedia/Algorithm_aversion |
High-level synthesis (HLS), sometimes referred to as C synthesis, electronic system-level (ESL) synthesis, algorithmic synthesis, or behavioral synthesis, is an automated design process that takes an abstract behavioral specification of a digital system and finds a register-transfer level structure that realizes the gi... | Wikipedia/Algorithmic_synthesis |
In computer programming, an assignment statement sets and/or re-sets the value stored in the storage location(s) denoted by a variable name; in other words, it copies a value into the variable. In most imperative programming languages, the assignment statement (or expression) is a fundamental construct.
Today, the most... | Wikipedia/Assignment_(computer_science) |
Government by algorithm (also known as algorithmic regulation, regulation by algorithms, algorithmic governance, algocratic governance, algorithmic legal order or algocracy) is an alternative form of government or social ordering where the usage of computer algorithms is applied to regulations, law enforcement, and gen... | Wikipedia/Government_by_algorithm |
In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. Recursion solves such recursive problems by using functions that call themselves from within their own code. The approach can be applied to many types of proble... | Wikipedia/Recursive_algorithm |
In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solut... | Wikipedia/Divide-and-conquer_algorithm |
In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can do multiple operations in a given time. It has been a tradition of computer science to describe serial algorithms in abstract machine models, often the one known as random-access machine. Similarly, many c... | Wikipedia/Parallel_algorithm |
Algorithmic bias describes systematic and repeatable harmful tendency in a computerized sociotechnical system to create "unfair" outcomes, such as "privileging" one category over another in ways different from the intended function of the algorithm.
Bias can emerge from many factors, including but not limited to the de... | Wikipedia/Algorithmic_bias |
In computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals are classified by the order in which the vertices are visited. Tree traversal is a special case of graph traversal.
== Redundancy ==
Unlike tree traver... | Wikipedia/Graph_traversal |
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently efficient reduction from one problem to another may be used to show that the second problem is at least as difficult as the first.
Intuitively, problem A is reducibl... | Wikipedia/Transform_and_conquer_algorithm |
Control tables are tables that control the control flow or play a major part in program control. There are no rigid rules about the structure or content of a control table—its qualifying attribute is its ability to direct control flow in some way through "execution" by a processor or interpreter. The design of such tab... | Wikipedia/Control_table |
In mathematical optimization and computer science, heuristic (from Greek εὑρίσκω "I find, discover") is a technique designed for problem solving more quickly when classic methods are too slow for finding an exact or approximate solution, or when classic methods fail to find any exact solution in a search space. This i... | Wikipedia/Heuristic_(computer_science) |
An algorithm is an unambiguous method of solving a specific problem.
Algorithm or algorhythm may also refer to:
== People ==
Al-Khwarizmi, 8th century Persian originator of algebra, whose name (romanized variously as Algorithm, Alghoarism, Algorism, etc.) is the etymological origin of algorithm
== Music ==
The Algo... | Wikipedia/Algorithm_(disambiguation) |
Introduction to Algorithms is a book on computer programming by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The book is described by its publisher as "the leading algorithms text in universities worldwide as well as the standard reference for professionals". It is commonly cited as a r... | Wikipedia/Introduction_to_Algorithms |
Regulation of algorithms, or algorithmic regulation, is the creation of laws, rules and public sector policies for promotion and regulation of algorithms, particularly in artificial intelligence and machine learning. For the subset of AI algorithms, the term regulation of artificial intelligence is used. The regulatory... | Wikipedia/Regulation_of_algorithms |
In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be examined in only a few passes, typically just one. These algorithms are designed to operate with limited memory, generally logarithmic in the size of the stream and/or ... | Wikipedia/Streaming_algorithm |
Borůvka's algorithm is a greedy algorithm for finding a minimum spanning tree in a graph,
or a minimum spanning forest in the case of a graph that is not connected.
It was first published in 1926 by Otakar Borůvka as a method of constructing an efficient electricity network for Moravia.
The algorithm was rediscovered b... | Wikipedia/Sollin's_algorithm |
Algorithmic composition is the technique of using algorithms to create music.
Algorithms (or, at the very least, formal sets of rules) have been used to compose music for centuries; the procedures used to plot voice-leading in Western counterpoint, for example, can often be reduced to algorithmic determinacy. The term ... | Wikipedia/Algorithmic_composition |
In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array. If they are not equal, the half in which the targ... | Wikipedia/Binary_search_algorithm |
In computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradigm that uses a conceptual sweep line or sweep surface to solve various problems in Euclidean space. It is one of the critical techniques in computational geometry.
The idea behind algorithms of this type is to imagine tha... | Wikipedia/Sweep_line_algorithm |
In computer science, empirical algorithmics (or experimental algorithmics) is the practice of using empirical methods to study the behavior of algorithms. The practice combines algorithm development and experimentation: algorithms are not just designed, but also implemented and tested in a variety of situations. In thi... | Wikipedia/Empirical_algorithmics |
In mathematics and computer science, an algorithmic technique is a general approach for implementing a process or computation.
== General techniques ==
There are several broadly recognized algorithmic techniques that offer a proven method or process for designing and constructing algorithms. Different techniques may ... | Wikipedia/Algorithmic_technique |
In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. Recursion solves such recursive problems by using functions that call themselves from within their own code. The approach can be applied to many types of proble... | Wikipedia/Recursion_(computer_science) |
In functional programming, fold (also termed reduce, accumulate, aggregate, compress, or inject) refers to a family of higher-order functions that analyze a recursive data structure and through use of a given combining operation, recombine the results of recursively processing its constituent parts, building up a retur... | Wikipedia/Fold_(higher-order_function) |
The export of cryptography is the transfer from one country to another of devices and technology related to cryptography.
In the early days of the Cold War, the United States and its allies developed an elaborate series of export control regulations designed to prevent a wide range of Western technology from falling in... | Wikipedia/Export_of_cryptography |
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within particular data structure, or calculated in the search space of a problem domain, with either discrete or continuous values.
Although search engines use search algorit... | Wikipedia/Search_algorithm |
A string-searching algorithm, sometimes called string-matching algorithm, is an algorithm that searches a body of text for portions that match by pattern.
A basic example of string searching is when the pattern and the searched text are arrays of elements of an alphabet (finite set) Σ. Σ may be a human language alphab... | Wikipedia/String-searching_algorithm |
Algorithm characterizations are attempts to formalize the word algorithm. Algorithm does not have a generally accepted formal definition. Researchers are actively working on this problem. This article will present some of the "characterizations" of the notion of "algorithm" in more detail.
== The problem of definitio... | Wikipedia/Algorithm_characterizations |
In computing, a Monte Carlo algorithm is a randomized algorithm whose output may be incorrect with a certain (typically small) probability. Two examples of such algorithms are the Karger–Stein algorithm and the Monte Carlo algorithm for minimum feedback arc set.
The name refers to the Monte Carlo casino in the Principa... | Wikipedia/Monte_Carlo_algorithm |
In computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals are classified by the order in which the vertices are visited. Tree traversal is a special case of graph traversal.
== Redundancy ==
Unlike tree traver... | Wikipedia/Graph_exploration_algorithm |
The NIST Dictionary of Algorithms and Data Structures is a reference work maintained by the U.S. National Institute of Standards and Technology. It defines a large number of terms relating to algorithms and data structures. For algorithms and data structures not necessarily mentioned here, see list of algorithms and li... | Wikipedia/Dictionary_of_Algorithms_and_Data_Structures |
A distributed algorithm is an algorithm designed to run on computer hardware constructed from interconnected processors. Distributed algorithms are used in different application areas of distributed computing, such as telecommunications, scientific computing, distributed information processing, and real-time process co... | Wikipedia/Distributed_algorithm |
In computer science, a selection algorithm is an algorithm for finding the
k
{\displaystyle k}
th smallest value in a collection of ordered values, such as numbers. The value that it finds is called the
k
{\displaystyle k}
th order st... | Wikipedia/Selection_algorithm |
In computing, a Las Vegas algorithm is a randomized algorithm that always gives correct results; that is, it always produces the correct result or it informs about the failure. However, the runtime of a Las Vegas algorithm differs depending on the input. The usual definition of a Las Vegas algorithm includes the restri... | Wikipedia/Las_Vegas_algorithm |
The Graphics Interchange Format (GIF; GHIF or JIF, see § Pronunciation) is a bitmap image format that was developed by a team at the online services provider CompuServe led by American computer scientist Steve Wilhite and released on June 15, 1987.
The format can contain up to 8 bits per pixel, allowing a single imag... | Wikipedia/Graphics_Interchange_Format |
Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational complexity theory.
A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems t... | Wikipedia/Algorithmic_topology |
A neural network, also called a neuronal network, is an interconnected population of neurons (typically containing multiple neural circuits). Biological neural networks are studied to understand the organization and functioning of nervous systems.
Closely related are artificial neural networks, machine learning models ... | Wikipedia/Biological_neural_network |
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