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discrete in Wiktionary, the free dictionary. Discrete may refer to: Discrete particle or quantum in physics, for example in quantum theory Discrete device...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a one-to-one...

number x {\displaystyle x} such that b x = a {\displaystyle b^{x}=a} . The discrete logarithm generalizes this concept to a cyclic group. A simple example...

applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This...

In economics, discrete choice models, or qualitative choice models, describe, explain, and predict choices between two or more discrete alternatives,...

In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another...

function of the discrete variable, i.e. a discrete sequence. A Fourier series, by nature, has a discrete set of components with a discrete set of coefficients...

the variables used in a discrete optimization problem are restricted to be discrete variables—that is, to assume only a discrete set of values, such as...

dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled. Discrete time views...

In theoretical computer science, a discrete system is a system with a countable number of states. Discrete systems may be contrasted with continuous systems...

mathematics and statistics, a quantitative variable may be continuous or discrete. If it can take on two real values and all the values between them, the...

mathematics, a sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure. Examples...

mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT is...

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous...

Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) is an academic conference in the fields of algorithm design and discrete mathematics. It is considered...

A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...

mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For...

In mathematics, in the field of category theory, a discrete category is a category whose only morphisms are the identity morphisms: homC(X, X) = {idX}...

In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number...

gives the probability that a discrete random variable is exactly equal to some value. Sometimes it is also known as the discrete probability density function...

numbers), it is common to distinguish between discrete and continuous random variables. In the discrete case, it is sufficient to specify a probability...

An electronic component is any basic discrete electronic device or physical entity part of an electronic system used to affect electrons or their associated...

and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet...

In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non-zero maximal ideal. This means a DVR is an...

Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of...

Telemachus (/təˈlɛməkəs/ tə-LEM-ə-kəs; Ancient Greek: Τηλέμαχος, romanized: Tēlemakhos, lit. 'far-fighter') is the son of Odysseus and Penelope in Greek...

discrete group is discrete. every quotient of a discrete group is discrete. the product of a finite number of discrete groups is discrete. a discrete...

elliptic-curve protocols, a central hardness assumption is the elliptic curve discrete logarithm problem (ECDLP): given a public base point P {\displaystyle P}...

In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some...

Continuous time Fourier series (CTFS) Discrete time Fourier transform (DTFT) Discrete time Fourier series (DTFS) Discrete Fourier transform (DFT) The choice...

Discrete Morse theory is a combinatorial adaptation of Morse theory developed by Robin Forman and Kenneth Brown. The theory has various practical applications...

In control engineering, a discrete-event dynamic system (DEDS) is a discrete-state, event-driven system of which the state evolution depends entirely on...

A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of...

In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes...

Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there...

Discrete modelling is the discrete analogue of continuous modelling. In discrete modelling, formulae are fit to discrete data—data that could potentially...

In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order. Let π {\displaystyle...

called a discrete measure (in respect to the Lebesgue measure) if it is concentrated on an at most countable set. The support need not be a discrete set....

continuous translational symmetry in space is broken and replaced by the lower discrete symmetry of the periodic crystal. As the laws of physics are symmetrical...

A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform...

In mathematics, the discrete Poisson equation is the finite difference analog of the Poisson equation. In it, the discrete Laplace operator takes the place...

In mathematics, specifically in spectral theory, a discrete spectrum of a closed linear operator is defined as the set of isolated points of its spectrum...

processing, discrete transforms (or discrete integral transform) are mathematical transforms, often linear transforms, of signals between discrete domains...

A discrete-event simulation (DES) models the operation of a system as a (discrete) sequence of events in time. Each event occurs at a particular instant...

The discrete dipole approximation (DDA), also known as the coupled dipole approximation, is a numerical method for computing the scattering and absorption...

similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation...

In applied mathematics, a discrete Chebyshev transform (abbreviated DCT, DChT, or DTT) is an analog of the discrete Fourier transform for a function of...

geometry, a discrete symmetry is a symmetry that describes non-continuous changes in a system. For example, a square possesses discrete rotational symmetry...

In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice...

In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation...

Discrete-stable distributions are a class of probability distributions with the property that the sum of several random variables from such a distribution...

frequency domain. A discrete frequency domain is a frequency domain that is discrete rather than continuous. For example, the discrete Fourier transform...

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have...

Discrete tomography focuses on the problem of reconstruction of binary images (or finite subsets of the integer lattice) from a small number of their projections...

Discrete Analysis is a mathematics journal covering the applications of analysis to discrete structures. Discrete Analysis is an arXiv overlay journal...

processes are respectively referred to as discrete-time and continuous-time stochastic processes. Discrete-time stochastic processes are considered easier...

Discrete emotion theory is the claim that there is a small number of core emotions. For example, Silvan Tomkins (1962, 1963) concluded that there are nine...

countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called...

The logistic map is a discrete dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2...

analysis, discrete spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a discrete spline...

said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwhile...

countably infinite, the random variable is called a discrete random variable and its distribution is a discrete probability distribution, i.e. can be described...

complexity—play a major role in discrete mathematics. The four color theorem and optimal sphere packing were two major problems of discrete mathematics solved in...

A discrete global grid (DGG) is a mosaic that covers the entire Earth's surface. Mathematically it is a space partitioning: it consists of a set of non-empty...

Discrete logarithm records are the best results achieved to date in solving the discrete logarithm problem, which is the problem of finding solutions x...

implement beamforming on digital hardware the received signals need to be discretized. This introduces quantization error, perturbing the array pattern. For...

up only of isolated points is called a discrete set or discrete point set (see also discrete space). Any discrete subset S of Euclidean space must be countable...

In mathematics, a holomorphic discrete series representation is a discrete series representation of a semisimple Lie group that can be represented in a...

In mathematics, the Kronecker sum of discrete Laplacians, named after Leopold Kronecker, is a discrete version of the separation of variables for the...

Databooks Discrete Databook; 1985; Fairchild (now ON Semiconductor) Small-Signal Semiconductors Databook, 1987; Motorola (now ON semiconductor) Discrete Power...

produced in large quantities. This standardization began in the era of discrete transistor mainframes and minicomputers, and has rapidly accelerated with...

A discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous...

La Discrète (The Discreet) is a 1990 French comedy-drama film directed by Christian Vincent. It won three César Awards: for Best First Feature Film, Best...

transform Discrete Fourier transform, DFT Fast Fourier transform, a popular implementation of the DFT Discrete cosine transform Modified discrete cosine...

Y-functions. The method of discrete ordinates, or the Sn method, is one way to approximately solve the RTE by discretizing both the xyz-domain and the...

This is a list of notable discrete-event simulation software. List of computer-aided engineering software Byrne, James; Heavey, Cathal; Byrne, P.J. (March...

spectrum domain (such as frequency or wavelength) or discrete if it attains non-zero values only in a discrete set over the independent variable, with band gaps...

In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real...

Dynamic discrete choice (DDC) models, also known as discrete choice models of dynamic programming, model an agent's choices over discrete options that...

learning, discrete diffusion models are a class of diffusion models, which themselves are a class of latent variable generative models. Each discrete diffusion...

In discrete mathematics, a discrete fixed-point is a fixed-point for functions defined on finite sets, typically subsets of the integer grid Z n {\displaystyle...

In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced...

can exist only in certain discrete values. Atoms and matter in general are stable because electrons can exist only at discrete energy levels within an atom...

abbreviating discrete event system specification, is a modular and hierarchical formalism for modeling and analyzing general systems that can be discrete event...

Wiktionary, the free dictionary. Digital usually refers to something using discrete digits, often binary digits. Digital bank, a form of financial institution...

software packages for calculating scattering and absorption of light using Discrete dipole approximation (DDA). Most of the software applies to arbitrary-shaped...

therefore a discrete set of these in a discrete time interval Δ t {\displaystyle \Delta t} is again a shape of characterization of the full discrete dynamical...

related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has finite invariant...

Discrete & Computational Geometry is a peer-reviewed mathematics journal published quarterly by Springer. Founded in 1986 by Jacob E. Goodman and Richard...

invariant systems, the continuous time dynamics can be exactly discretized into a discrete time system using matrix exponentials. K k = P k ∣ k − 1 H k...

noted year according to World Bank: Business portal Manufacturing portal Discrete manufacturing Outline of manufacturing Process manufacturing 3D printing...

machine learning, discretization refers to the process of converting or partitioning continuous attributes, features or variables to discretized or nominal...

In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex...

can be moved from one place to another. Circuits can be constructed of discrete components connected by individual pieces of wire, but today it is much...

digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa. The bilinear...

The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of...

In applied physics and engineering, temporal discretization is a mathematical technique for solving transient problems, such as flow problems. Transient...

{\displaystyle x} . Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by a right-continuous...

is between discrete and continuous spaces that the functions are defined over, for example, discrete and continuous-time domains. Discrete-time signals...

In the field of simulation, a discrete rate simulation models the behavior of mixed discrete and continuous systems. This methodology is used to simulate...

Compatible Discrete 4, also known as Quadradisc or CD-4 (not to be confused with compact disc) was a discrete four-channel quadraphonic system for phonograph...

topology, a branch of mathematics, a discrete two-point space is the simplest example of a totally disconnected discrete space. The points can be denoted...

a discrete function, u [ n ] , {\displaystyle u[n],} with discrete-time Fourier transform (DTFT), U ( ω ) {\displaystyle U(\omega )} , and discrete Hilbert...

Alexandrov-discrete spaces is Alexandrov-discrete. More generally, the box product of an arbitrary number of Alexandrov-discrete spaces is Alexandrov-discrete....

Discrete trial training (DTT) is a technique used by practitioners of applied behavior analysis (ABA) that was developed by Ivar Lovaas at the University...

This increases the difficulty for an adversary attempting to compute the discrete logarithm and compromise the shared secret. These two values are chosen...

more robust modulation or error coding to those subcarriers. The term discrete multitone modulation (DMT) denotes OFDM-based communication systems that...

space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic...

examples, the valuation assumes integer values and is therefore called a discrete valuation, but in general, the integers are replaced by an abelian totally...

In mathematics, a quaternionic discrete series representation is a discrete series representation of a semisimple Lie group G associated with a quaternionic...

non-uniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier...

Discrete Skeleton Evolution (DSE) describes an iterative approach to reducing a morphological or topological skeleton. It is a form of pruning in that...

display device such as a monitor. Graphics cards are sometimes called discrete or dedicated graphics cards to emphasize their distinction to an integrated...

for some discrete approximation to the exact optimization relationship. Alternatively, the continuous process can be approximated by a discrete system,...

proposed multiple similar algorithms for solving the factoring problem, the discrete logarithm problem, and the period-finding problem. "Shor's algorithm" usually...

In probability theory and statistics, the discrete Weibull distribution is the discrete variant of the Weibull distribution. Introduced by Toshio Nakagawa...

ElGamal (1985). "A Public-Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms" (PDF). IEEE Transactions on Information Theory. 31 (4): 469–472...

continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers). The term quantization may refer to: Quantization...

Rotational symmetry of order n, also called n-fold rotational symmetry, or discrete rotational symmetry of the nth order, with respect to a particular point...

whether the variables are continuous or discrete: An optimization problem with discrete variables is known as a discrete optimization, in which an object such...

A crossover is the placement of two or more otherwise discrete fictional characters, settings, or universes into the context of a single story. They can...

estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms...

computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic...

example, in the context of the discrete-time Fourier transform (DTFT). In particular, the DTFT of the product of two discrete sequences is the periodic convolution...

X , Y , … {\displaystyle X,Y,\ldots } falls in any particular range or discrete set of values specified for that variable. In the case of only two random...

Impulse invariance is a technique for designing discrete-time infinite-impulse-response (IIR) filters from continuous-time filters in which the impulse...

Discrete Applied Mathematics is a peer-reviewed scientific journal covering algorithmic and applied areas of discrete mathematics. It is published by...

were SQ (Stereo Quadraphonic), QS (Regular Matrix) and CD-4 (Compatible Discrete 4) / Quadradisc. The Japanese governing body and audio hardware manufacturers...

algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete logarithm in ( Z / q Z ) ∗ {\displaystyle (\mathbb {Z}...

A chronon is a proposed quantum of time, that is, a discrete and indivisible "unit" of time as part of a hypothesis that proposes that time is not continuous...

order. This is the discrete analog of the continuous Gaussian in that it is the solution to the discrete diffusion equation (discrete space, continuous...

geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or on the properties...

2017), "An introduction to the discharging method via graph coloring", Discrete Mathematics, 340 (4): 766–793, arXiv:1306.4434, doi:10.1016/j.disc.2016...

In probability, a discrete-time Markov chain (DTMC) is a sequence of random variables, known as a stochastic process, in which the value of the next variable...

The extended discrete element method (XDEM) is a numerical technique that extends the dynamics of granular material or particles as described through the...

lower bounds on Ricci curvature. A metric space is discrete if its induced topology is the discrete topology. Although many concepts, such as completeness...

SIAM Journal on Discrete Mathematics is a peer-reviewed mathematics journal published quarterly by the Society for Industrial and Applied Mathematics (SIAM)...

can be classified mainly by two properties: Continuous vs. discrete Characters in discrete symbologies are composed of n bars and n − 1 spaces. There...

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex valued...

In applied mathematics, the regressive discrete Fourier series (RDFS) is a generalization of the discrete Fourier transform where the Fourier series coefficients...

opposed to discrete symmetry, e.g. reflection symmetry, which is invariant under a kind of flip from one state to another. However, a discrete symmetry...

vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Graph theory is a branch of mathematics that studies graphs...

Discrete debris accumulation (DDA) is a non-genetic term in mountain glacial geology to aid identification of non-lithified sediments on a valley or mountain...

A digital signal is a signal that represents data as a sequence of discrete values; at any given time it can only take on, at most, one of a finite number...

probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number...

given point under all group elements) forms a discrete set. All finite symmetry groups are discrete. Discrete symmetry groups come in three types: (1) finite...

established as the SIAM Journal on Algebraic and Discrete Methods in 1980, until it split into SIAM Journal on Discrete Mathematics and the current title in 1988...

Discrete complementary JFETs are N-channel and P-channel JFETs that are built with a similar process technology and are designed to have similar or matching...

systems, the exponential map can be used as the evolution function of the discrete nonlinear dynamical system. The family of exponential functions is called...

fact that most measurement data are discrete. Hence, the theoretical problem arises concerning how to discretize the continuous theory while either preserving...

In information theory, the limiting density of discrete points is an adjustment to the formula of Claude Shannon for differential entropy. It was formulated...

Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their...

the Discrete Universal Denoiser (DUDE) is a denoising scheme for recovering sequences over a finite alphabet, which have been corrupted by a discrete memoryless...

difference scheme. This is particularly troublesome if the domain of f is discrete. See also Symmetric derivative. Authors for whom finite differences mean...

transport began before the common era. It can be divided into several discrete periods, defined by the principal track material and power used. The Post...

algorithm for computing the discrete logarithm or order of an element in a finite abelian group by Daniel Shanks. The discrete log problem is of fundamental...

Scottsdale, Arizona. Products include power and signal management, logic, discrete, and custom devices for automotive, communications, computing, consumer...

of a communication channel, it is possible (in theory) to communicate discrete data (digital information) nearly error-free up to a computable maximum...

of a circle) or discrete (e.g., reflection of a bilaterally symmetric figure, or rotation of a regular polygon). Continuous and discrete transformations...

centers. GPUs are broadly categorized into two types: Discrete GPUs and Integrated GPUs. Discrete GPUs are standalone graphics cards with their own dedicated...

square-integrable, in other words lie in L2(G), which would be the definition of a discrete series representation. If G is a linear semisimple Lie group with a maximal...

Lattice (group), a repeating arrangement of points Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant...

field, a central model of random surfaces (random height functions). The discrete version can be defined on any graph, usually a lattice in d-dimensional...

computer science. It is a generalization of problems including factoring, discrete logarithm, graph isomorphism, and the shortest vector problem. This makes...

at University of New Mexico (UNM). He is best known for inventing the discrete cosine transform (DCT) in the early 1970s. The DCT is the most widely used...

of Karp's 21 NP-complete problems. If some decision variables are not discrete, the problem is known as a mixed-integer programming problem. Integer linear...

but the latter require stronger assumptions in terms of exogeneity. The discrete-time hazard function can be written as: λ d ( t a | χ ) = P r ( t a − 1...

chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions...

to give the terminology the most general reach. In the case of generic discrete-time (i.e., sampled) systems, linear shift-invariant is the corresponding...

techniques can be extended to an infinite (specifically, countable) but discrete setting. Basic combinatorial concepts and enumerative results appeared...

While AVC uses the integer discrete cosine transform (DCT) with 4×4 and 8×8 block sizes, HEVC uses both integer DCT and discrete sine transform (DST) with...

context of infinite-horizon optimal control problems in continuous time or discrete time. A typical algebraic Riccati equation is similar to one of the following:...

In numerical analysis, computational physics, and simulation, discretization error is the error resulting from the fact that a function of a continuous...

windowed Fourier transform or time-dependent Fourier transform. In the discrete time case, the data to be transformed could be broken up into chunks or...

observe that there is no leakage at a discrete set of harmonically-related frequencies sampled by the discrete Fourier transform (DFT). (The spectral...

A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized...

telecommunications. The simplest control systems are based around small discrete controllers with a single control loop each. These are usually panel mounted...

classified by their construction: discrete, built from individual transistors or tubes/valves, hybrid, consisting of discrete and integrated components, full...

applied mathematics, a DFT matrix is a square matrix as an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be applied...

{1}{2}}{\frac {\operatorname {sinc} (Lf)}{(1-L^{2}f^{2})}}.\end{aligned}}} The discrete-time Fourier transform (DTFT) of the N + 1 {\displaystyle N+1} length,...

In computer science, a state space is a discrete space representing the set of all possible configurations of a system. It is a useful abstraction for...

In mathematics the discrete least squares meshless (DLSM) method is a meshless method based on the least squares concept. The method is based on the minimization...

it in 1964, is a result about discrete dynamical systems. One of the implications of the theorem is that if a discrete dynamical system on the real line...

an−1 an−2. A binary sequence is a sequence whose terms have one of two discrete values, e.g. base 2 values (0, 1, 1, 0, ...), a series of coin tosses (Heads/Tails)...

with classical random walks, quantum walks admit formulations in both discrete time and continuous time. Quantum walks are motivated by the widespread...

complex are used to reduce the dimension and size of complexes. Recently, Discrete Morse theory has shown promise for computational homology because it can...

ExtendSim is a simulation program for modeling discrete event, continuous, agent-based, discrete rate, and mixed-mode processes. There are three main...

settles to zero. FIR filters can be discrete-time or continuous-time, and digital or analog. For a causal discrete-time FIR filter of order N, each value...

which serves as a fundamental bridge between continuous-time signals and discrete-time signals. In the case of uniformly spaced (periodic) sampling, it establishes...

experiment, in which silver atoms were observed to possess two possible discrete angular momenta despite having no orbital angular momentum. The relativistic...

the stability analysis of linear dynamical systems. In particular, the discrete-time Lyapunov equation (also known as Stein equation) for X {\displaystyle...

problems in discrete mathematics involve the study of an extremal parameter that follows a discrete version of the Gumbel distribution. This discrete version...

discrete probability distribution function or discrete probability density function), providing the probability of individual outcomes for discrete random...

boundary conditions are provided both for the continuous and discrete cases. In the discrete case, the standard central difference approximation of the...

mathematics, Meixner polynomials (also called discrete Laguerre polynomials) are a family of discrete orthogonal polynomials introduced by Josef Meixner (1934)...

The discrete phase-type distribution is a probability distribution that results from a system of one or more inter-related geometric distributions occurring...

Acquisitions section. Retrieved August 8, 2011. Baburajan, Rajani (May 2, 2011). "Discrete Wireless Announces Latest Release of MARCUS Application". Gadgets.TMCnet...

are ionic, while others are covalently bonded. A few metal halides are discrete molecules, such as uranium hexafluoride, but most adopt polymeric structures...

the Fourier transform output is a Dirac comb function, modulated by a discrete sequence of finite-valued coefficients that are complex-valued in general...

also known as the ban or the dit. The mutual information of two jointly discrete random variables X {\displaystyle X} and Y {\displaystyle Y} is calculated...

before they are added to the input. Comb filters may be implemented in discrete time or continuous time forms, which are very similar. Comb filters are...

{\displaystyle P} -periodic, and its Fourier series coefficients are given by the discrete convolution of the U {\displaystyle U} and V {\displaystyle V} sequences:...

simulator) is a name for a series of discrete event network simulators, specifically ns-1, ns-2, and ns-3. All are discrete-event computer network simulators...

all the variables are quantitative, economic models are classified as discrete or continuous choice model; according to the model's intended purpose/function...

hybrid system is a dynamical system that exhibits both continuous and discrete dynamic behavior – a system that can both flow (described by a differential...

strongly influenced John von Neumann's conception of the first American discrete-symbol (as opposed to analog) computer—the EDVAC. Davis quotes Time magazine...

Poisson-distributed variable. The result can be either a continuous or a discrete distribution. Suppose that N ∼ Poisson ⁡ ( λ ) , {\displaystyle N\sim \operatorname...

accelerate computer graphics, being present either as a component on a discrete graphics card or embedded on motherboards, mobile phones, personal computers...

Cryptosystem and A Signature Scheme Based on Discrete Logarithms" proposed the design of the ElGamal discrete log cryptosystem and of the ElGamal signature...

religious group with idiosyncratic spiritual beliefs. Jerusalem syndrome as a discrete form, uncompounded by previous mental illness. This describes the best-known...

co-invention of discrete cosine transform (DCT), along with Nasir Ahmed and T. Natarajan due to their landmark publication, Discrete Cosine Transform...

Its founding principles are that spacetime is fundamentally discrete (a collection of discrete spacetime points, called the elements of the causal set) and...

matrix – Discrete fourier transform expressed as a matrix Discrete Fourier transform – Function in discrete mathematics Fast Fourier transform – Discrete Fourier...

mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups. The Fourier transform...

very broadly regional spiritual practices characterized by an occult or discrete tradition, including: Eastern esotericism Western esotericism Outline of...

Diffie–Hellman problem. The CDH assumption involves the problem of computing the discrete logarithm in cyclic groups. The CDH problem illustrates the attack of an...

discrete-time LQG control problem is similar to the one in continuous-time, the description below focuses on the mathematical equations. The discrete-time...

probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle...

In discrete geometry, the Erdős distinct distances problem states that every set of points in the plane has a nearly-linear number of distinct distances...

is a wavelet transform where the discrete-time (sampled) signal is passed through more filters than the discrete wavelet transform (DWT). In the DWT...

Chair of mathematics and the director of the Centre for Computational and Discrete Geometry at the University of Calgary in Calgary, Alberta, Canada. Also...

is a discrete time, quantized amplitude signal. In other words, it is a sampled signal consisting of samples that take on values from a discrete set (a...

mathematical theory of metric spaces, ε-nets, ε-packings, ε-coverings, uniformly discrete sets, relatively dense sets, and Delone sets (named after Boris Delone)...

of Sydney Business School. Hensher is widely regarded as a pioneer of discrete-choice modelling in transport analysis; his 2003 survey of the mixed logit...

physical output is called a coil, and a single-bit physical input is called a discrete input or a contact. It was originally published in 1979 by Modicon (bought...

Amongst the notable discrete graphics card vendors, AMD and Nvidia are the only ones that have lasted. In 2022, Intel entered the discrete GPU market with...

function for such particles includes spin as an intrinsic, discrete degree of freedom; other discrete variables can also be included, such as isospin. When...

the whole space of irreducible representations. In discrete group theory, where G has the discrete topology, a simpler definition is used. In this setting...

deterministic variables and random variables in the same formalism. The discrete uniform distribution, where all elements of a finite set are equally likely...

A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...

an Israeli American mathematician with expertise and contributions in discrete mathematics and finite groups. Arie received his BSc, MSc, and PhD (1984)...

betting exchange is a marketplace for customers to bet on the outcome of discrete events. Betting exchanges offer the same opportunities to bet as a bookmaker...

Linstead Biggs (born 2 January 1941) is a British mathematician focusing on discrete mathematics and in particular algebraic combinatorics. Biggs was educated...

than market expectations, causing Intel to cease development on future discrete graphics products. However, its technology lived on in the Intel Extreme...

are fully consistent (i.e.,contradiction-free) with those from a micro (Discrete Event Simulation (DES) or Agent-Based Simulation) model of a well-defined...

considered a branch of mathematical systems theory, studying the behavior of discrete-parameter systems. Early work in automata theory differed from previous...

In mathematics, the discrete q-Hermite polynomials are two closely related families hn(x;q) and ĥn(x;q) of basic hypergeometric orthogonal polynomials...

players. Most modern audio compression algorithms are based on modified discrete cosine transform (MDCT) coding and linear predictive coding (LPC). In hardware...

Discrete papular lichen myxedematosus is a skin condition caused by fibroblasts producing abnormally large amounts of mucopolysaccharides characterized...

improving performance, and reducing cost. Compared to assemblies built from discrete components, integrated circuits are orders of magnitude smaller, faster...

even for very large integers. On the other hand, computing the modular discrete logarithm – that is, finding the exponent e when given b, c, and m – is...

infinite state space. However, this article concentrates on the discrete-time discrete-state-space case. A Markov chain is an absorbing chain if there...

{A}}=A-BR^{-1}N^{\mathsf {T}},\qquad {\mathcal {Q}}=Q-NR^{-1}N^{\mathsf {T}}.} For a discrete-time linear system described by x k + 1 = A x k + B u k , {\displaystyle...

application of reverse computation to reduce state saving overheads in parallel discrete event simulation (PDES). They define an approach based on reverse event...

In applied mathematics, the sliding discrete Fourier transform is a recursive algorithm to compute successive STFTs of input data frames that are a single...

differences. Both the spatial domain and time domain (if applicable) are discretized, or broken into a finite number of intervals, and the values of the solution...

which tends towards an even distribution of initially localized energy. A discrete breather is a breather solution on a nonlinear lattice. The term breather...

the discrete case. Otherwise, if the sum of probabilities of all atoms is between 0 and 1, then the probability space decomposes into a discrete (atomic)...

The Mojette transform is an application of discrete geometry. More specifically, it is a discrete and exact version of the Radon transform, thus a projection...

T-theory is a branch of discrete mathematics dealing with analysis of trees and discrete metric spaces. T-theory originated from a question raised by Manfred...

mathematician at the University of California, Davis, specializing in discrete mathematics and discrete geometry. De Loera did his undergraduate studies at the National...

"continuous Heisenberg group") or the ring of integers (resulting in the "discrete Heisenberg group"). The continuous Heisenberg group arises in the description...

In linguistics, a segment is "any discrete unit that can be identified, either physically or auditorily, in the stream of speech". The term is most used...

software portal SimPy stands for “Simulation in Python”, is a process-based discrete-event simulation framework based on standard Python. It enables users to...

camera images paired with a text description and outputs discretized robot action encoded as discrete tokens. Compared to its predecessor RT-1, which was trained...

also called algorithmic geometry, which deals with geometric objects as discrete entities. A groundlaying book in the subject by Preparata and Shamos dates...

mathematician and computer scientist working in the fields of combinatorics and discrete and computational geometry. Pach was born and grew up in Hungary. He comes...

considered under the null hypothesis may be continuous (see Section 2), purely discrete or mixed (see Section 2.2). In the two-sample case (see Section 3), the...

the spectrum of states is discrete or continuous.[citation needed] For a canonical ensemble that is classical and discrete, the canonical partition function...

linear polynomials to construct new data points within the range of a discrete set of known data points. If the two known points are given by the coordinates...

could impede the repeal of an undesirable law, or discriminates against "discrete and insular" minorities. Footnote Four would influence later Supreme Court...

made in a particular context or contexts. Typically, it attempts to use discrete choices (A over B; B over A, B & C) in order to infer positions of the...

In discrete mathematics, a direction-preserving function (or mapping) is a function on a discrete space, such as the integer grid, that (informally) does...

compression format. It supports channel configurations from mono up to six discrete channels (referred to as "5.1"). This format first allowed and popularized...

the alias method is a family of efficient algorithms for sampling from a discrete probability distribution, published in 1974 by Alastair J. Walker. That...

\mathrm {H} (Y|X=x)} be the entropy of the discrete random variable Y {\displaystyle Y} conditioned on the discrete random variable X {\displaystyle X} taking...

[citation needed] Discrete (digital) signals can only take on or off value (1 or 0, true or false). Examples of devices providing a discrete signal include...

{\displaystyle 2^{I}} where 2 = { 0 , 1 } {\displaystyle 2=\{0,1\}} is given the discrete topology. Such a space is sometimes called a Cantor cube. If I is countably...

called a generalized Bernoulli distribution, multinoulli distribution) is a discrete probability distribution that describes the possible results of a random...

Weyl in 1949, is an argument against the notion that physical space is "discrete", as if composed of a number of finite sized units or tiles. The argument...

anthropological typologies to classify human populations into physically discrete human races, some of which may be asserted to be superior or inferior to...

respectively, and W t {\displaystyle W_{t}} is the Wiener process. As discrete approximations of continuous processes are typically assessed through comparison...

Cymbalophora pudica, the discrete chaperon, is a moth of the family Erebidae. The species was first described by Eugenius Johann Christoph Esper in 1784...

continents. By convention, continents "are understood to be large, continuous, discrete masses of land, ideally separated by expanses of water". By this definition...

signal applied. Bias circuits for BJTs are discussed in this article. In discrete circuits, bias circuits primarily consist of resistors. In integrated circuits...

number R, where R is the total event rate. This cumulative array is now a discrete cumulative distribution, and can be used to choose the next event by picking...

important that entropy be defined relative to a specified measure or prior. In discrete cases, Shannon entropy is defined relative to the counting measure (or...

or simple gene inheritance in which one gene corresponds to one trait. Discrete traits (as opposed to continuously varying traits such as height) with...

discrete isometry group is an isometry group such that for every point of the space the set of images of the point under the isometries is a discrete...

value S(x) interpolated at an arbitrary real argument x is obtained by the discrete convolution of those samples with the Lanczos kernel: S ( x ) = ∑ i = ⌊...

Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm problem. The algorithm was introduced in 1978 by the number theorist...

CDT is a modification of quantum Regge calculus where spacetime is discretized by approximating it with a piecewise linear manifold in a process called...

is a branch of mathematics concerning the study of finite or countable discrete structures. Matroid Greedoid Ramsey theory Van der Waerden's theorem Hales–Jewett...

proof is based on the Brouwer fixed point theorem. Another proof uses a discrete variant of Perron's method of constructing solutions to the Dirichlet problem...

(ADC). Sampling is usually carried out in two stages, discretization and quantization. Discretization means that the signal is divided into equal intervals...

are employed, the theory is called discrete dynamical systems. When the time variable runs over a set that is discrete over some intervals and continuous...

property (T). If G has property (T) then G/[G, G] is compact. Any countable discrete group with property (T) is finitely generated. An amenable group which...

The Selfridge–Conway procedure is a discrete procedure that produces an envy-free cake-cutting for three partners. It is named after John Selfridge and...

with collections of discrete objects or defined in discrete terms: points, lines, polygons, polytopes, etc., and algorithms of discrete/combinatorial character...

source, its time series X1, ..., Xn is i.i.d. with entropy H(X) in the discrete-valued case and differential entropy in the continuous-valued case. The...

The Fulkerson Prize for outstanding papers in the area of discrete mathematics is sponsored jointly by the Mathematical Optimization Society (MOS) and...

the finite abelian groups (with the discrete topology), and the additive group of the integers (also with the discrete topology), the real numbers, and every...

In mathematics, a continuity correction is an adjustment made when a discrete object is approximated using a continuous object. If a random variable X...

t} can be continuous (e.g. t ∈ R {\displaystyle t\in \mathbb {R} } ) or discrete (e.g. t ∈ Z {\displaystyle t\in \mathbb {Z} } ). In the latter case, the...

dog is a movable plate which pulls fabric through a sewing machine in discrete steps between stitches. A set of feed dogs typically resembles two or three...

In discrete geometry and mechanics, structural rigidity is a combinatorial theory for predicting the flexibility of ensembles formed by rigid bodies connected...

now often called a second-generation computer, is a computer which uses discrete transistors instead of vacuum tubes. The first generation of electronic...

Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself. Essentially...

of discrete random variables. Factorial moments serve as analytic tools in the mathematical field of combinatorics, which is the study of discrete mathematical...

the type of random variable X in question. If the distribution of X is discrete and one knows its probability mass function pX, then the expected value...

development of mathematics (especially the creation and improvement of discrete mathematics theory); and third, the demand for a wide range of applications...

defined for all real numbers representing time. For discrete-time signals, the value is known at discrete, often equally-spaced, time intervals. It is commonly...

logistic regression to multiclass problems, i.e. with more than two possible discrete outcomes. That is, it is a model that is used to predict the probabilities...

)e^{-2\pi if\tau }\,d\tau .} For the discrete-time case, the power spectral density of the function with discrete values x n {\displaystyle x_{n}} is S...

The Practical Color Coordinate System (PCCS) is a discrete color space indexed by hue and tone. It was developed by the Japan Color Research Institute...

adevs is a C++ library for building discrete event simulations. Adevs based on the Discrete Event System Specification DEVS and Dynamic DEVS modeling...

Pagination, also known as paging, is the process of dividing a document into discrete pages, either electronic pages or printed pages. In reference to books...

functions. During this period, calculus techniques were applied to approximate discrete problems by continuous ones. In the 18th century, Euler introduced the...

by periodically shifting the frequency of the carrier between several discrete frequencies. The technology is used for communication systems such as telemetry...

the stability of a discrete-time, linear system by analysis of the coefficients of its characteristic polynomial. It is the discrete time analogue of the...

the union of a finite set of points, its convex hull is a polytope. A discrete oriented polytope (DOP) generalizes the bounding box. A k-DOP is the Boolean...

leading to further confusion. In general the PMF is used in the context of discrete random variables (random variables that take values on a countable set)...

which is represented using discrete values rather than fluctuating variables. A piano roll is digital as it has discrete values, that being a hole for...

included in the calculations for each pixel. In practice, when computing a discrete approximation of the Gaussian function, pixels at a distance of more than...

mainly in discrete mathematics and graph theory. He is considered by many Slovenian mathematicians to be the "father of Slovenian discrete mathematics...

EDVAC (Electronic Discrete Variable Automatic Computer) was one of the earliest electronic computers. It was built by Moore School of Electrical Engineering...

on a horizontal surface under gravity has at least 4 balance points. A discrete version of this is that there cannot be a monostatic polygon. However,...

Introduction to Circle Packing: The Theory of Discrete Analytic Functions is a mathematical monograph concerning systems of tangent circles and the circle...

f0(x) = 1 and letting fi(x), for i > 0, be the i-th coordinate of x. In discrete geometry, the ham sandwich theorem usually refers to the special case in...

random variables). One of the simplest examples of a discrete univariate distribution is the discrete uniform distribution, where all elements of a finite...

information systems, is data or information represented as a string of discrete symbols, each of which can take on one of only a finite number of values...

that integrate both analog and digital circuits. Discrete DACs (circuits constructed from multiple discrete electronic components instead of a packaged IC)...

characteristic of a sampler, which converts a continuous function or signal into a discrete sequence. It is named after Harry Nyquist. For a given sampling rate (samples...

linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The quantum Fourier transform is a part of many quantum...

A basic reinforcement learning agent interacts with its environment in discrete time steps. At each time step t, the agent receives the current state S...

complex frequency domain, which can represent either a continuous-time or a discrete-time system: Continuous-time systems use the Laplace transform and are...

skills using video modeling. A specific form of video modeling based on the discrete trial method of applied behavior analysis was developed and documented...

that the signal magnitude never exceeds B {\displaystyle B} , that is For discrete-time signals: ∃ B ∀ n (   | y [ n ] | ≤ B ) n ∈ Z {\displaystyle \exists...

where the position has been assigned a semantic meaning. The table has discrete (whole) and positive positions (1, 2, 3, 4, but not fractions). Code points...

Vishay Intertechnology, Inc. is an American manufacturer of discrete semiconductors and passive electronic components founded by Polish-born businessman...

Pontifical Catholic University of Chile (PUC). Regarded as a pioneer of discrete-choice modelling, he developed methods for estimating travellers’ willingness...

have variable ratios; a variable-ratio transmission can have multiple discrete gear ratios or be continuously variable. Variable-ratio transmissions are...

number of discrete, equal-sized parts. To explain the photoelectric effect, Einstein introduced the idea that light itself is made of discrete units of...

\Pr[f(F(f(x)))=f(x)]<n^{-c},} where the probability is over the choice of x from the discrete uniform distribution on {0, 1} n, and the randomness of F {\displaystyle...

In a discrete (i.e. finite state) market, the following hold: The First Fundamental Theorem of Asset Pricing: A discrete market on a discrete probability...

turbulence should be distinguished: statistical wave turbulence (SWT) and discrete wave turbulence (DWT). In SWT theory exact and quasi-resonances are omitted...

on a computer. There are two major types of simulation: continuous and discrete event though more modern languages can handle more complex combinations...

In discrete mathematics and theoretical computer science, reconfiguration problems are computational problems involving reachability or connectivity of...

In histology, variegation is the property of having discrete markings of different colors. Variegated From Merriam-Webster Online Dictionary. Retrieved...

DOPE, or Discrete Optimized Protein Energy, is a statistical potential used to assess homology models in protein structure prediction. DOPE is based on...

by compressing a range of values to a single quantum (discrete) value. When the number of discrete symbols in a given stream is reduced, the stream becomes...

contains a total of five Bravais lattices, or arrays of points defined by discrete translation operations. Uniform tilings of the plane, are generated from...

related to harmonic analysis. Discrete wavelet transform (continuous in time) of a discrete-time (sampled) signal by using discrete-time filterbanks of dyadic...

software List of construction software List of data science software List of discrete event simulation software List of finite element analysis software List...

In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space...

favours the latter. Purves, Paydarfar, and Andrews (1996) proposed the discrete-frames theory. One piece of evidence for this theory comes from Dubois...

A Markov chain on a measurable state space is a discrete-time-homogeneous Markov chain with a measurable space as state space. The definition of Markov...

"On the number of ordinary lines determined by sets in complex space", Discrete & Computational Geometry, 61 (4): 778–808, arXiv:1611.08740, doi:10...

Corporation used for simulating systems that involve processing of discrete entities at discrete times. SIMUL8 allows its user to create a computer model, which...

distribution deal with Interscope Records, Rico Love released the extended play Discrete Luxury, on February 27, 2014; it peaked at number 48 on the Top R&B/Hip-Hop...

question the idea that one can meaningfully categorize culture in terms of discrete units, and are especially critical of the biological nature of the theory's...

window function and then a discrete Fourier transform (DFT). But the DFT provides only a sparse sampling of the actual discrete-time Fourier transform (DTFT)...

particles perform consecutive propagation and collision processes over a discrete lattice. Due to its particulate nature and local dynamics, LBM has several...

set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set. Typical combinatorial optimization problems are the...

usually refers to the dynamic programming equation (DPE) associated with discrete-time optimization problems. In continuous-time optimization problems, the...

Pritsker's achievements is his work in the theory and methodology of discrete and combined discrete-continuous system simulation. During the early 1970s, he and...

returns to the original image. The discrete cat map describes the phase space flow corresponding to the discrete dynamics of a bead hopping from site...

modeled by a Poisson process. In electronics, shot noise originates from the discrete nature of electric charge. Shot noise also occurs in photon counting in...

signatures, based on the mathematical concept of modular exponentiation and the discrete logarithm problem. In a digital signature system, there is a keypair involved...

as one of the founding fathers of the structural estimation of dynamic discrete choice models and the developer of the nested fixed point (NFXP) maximum...

Whether the output is discrete (e.g., pressing of key) or continuous (e.g., a mouse's position, though digitized into a discrete quantity, is fast enough...

The Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaboration between Rutgers University, Princeton University, and...

of special forces capability to MoD, and holds operational command for discrete special forces operations. The post of Colonel SAS (Special Air Service)...

California, Davis. He is known for contributions to probability theory and discrete mathematics. Romik received his Ph.D. from Tel Aviv University in 2002...

{\mbox{Adopters}}=\int _{0}^{t}{\mbox{New adopters }}\,dt} List of all the equations in discrete time, in their order of execution in each year, for years 1 to 15 : 1 )...

manufacturing recipes, and can be contrasted with discrete manufacturing, which is concerned with discrete units, bills of materials and the assembly of components...

The sparse Fourier transform (SFT) is a kind of discrete Fourier transform (DFT) for handling big data signals. Specifically, it is used in GPS synchronization...

make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was...

for higher orders exist, which ease design. Discrete-time high-pass filters can also be designed. Discrete-time filter design is beyond the scope of this...

continuous, seamless glide between notes. In other contexts, it refers to discrete, stepped glides across notes, such as on a piano. Some terms that are similar...

algorithm first decomposes a discrete Fourier transform into several circular convolutions. This then derives the discrete Fourier transform results from...

flat power spectral density over the visible band. In discrete time, white noise is a discrete signal whose samples are regarded as a sequence of serially...

positions and lastly joining the University of Leeds. He has written books on discrete mathematics (1991) and mathematical analysis (1997) and was co-editor in...

defined, despite the presence of this noise. The context may be either discrete time or continuous time. An extremely well-studied formulation in stochastic...

whether the variables are continuous or discrete: An optimization problem with discrete variables is known as a discrete optimization, in which an object such...

Joseph; Tóth, Csaba D., eds. (2018). "39". Handbook of discrete and computational geometry. Discrete mathematics and its applications (3rd ed.). Boca Raton...

languages for the description of distributed systems. It is a class of discrete event dynamic system. A Petri net is a directed bipartite graph that has...

medicine, a bolus (from Latin bolus, ball) is the administration of a discrete amount of medication, drug, or other compound within a specific time, generally...

family of computer-aided design (CAD) apps supporting product design for discrete manufacturers developed by PTC. Creo runs on Microsoft Windows and provides...

In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of...

"one of the principal architects of the rapid development worldwide of discrete mathematics in recent years". He was president of both the American Mathematical...

Ka 2 Serial was inspired by this story. The show had two seasons with discrete plots. Choti Bahu is the love saga of two soulmates Dev and Radhika. Shastriji...

identified as the prototype of charts. A bar graph shows comparisons among discrete categories. One axis of the chart shows the specific categories being compared...

occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry,...

over their prime fields. Discrepancy theory Discrete differential geometry Discrete exterior calculus Discrete geometry a branch of geometry that studies...

osteoclasts are also transcriptionally distinct cell populations and exhibit discrete transcriptomic features. Molecular pathways are specific to chondroclasts...

the binomial is discrete the equation starts as a difference equation whose limit morphs to a DE. Difference equations use the discrete derivative, p (...

In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded equivalently as a group of orientation-preserving...

Continuous-flow manufacturing, or repetitive-flow manufacturing, is an approach to discrete manufacturing that contrasts with batch production. It is associated with...

same language as MATLAB and Freemat. JaamSim is an open-source Java-based discrete-event simulation environment. JModelica.org is a free and open source software...

Discrete Mathematics & Theoretical Computer Science is a peer-reviewed open access scientific journal covering discrete mathematics and theoretical computer...

In mathematics, calculus on finite weighted graphs is a discrete calculus for functions whose domain is the vertex set of a graph with a finite number...

communications, and fiber optic signals); B) the discrete lines (consisting of the MIL-STD-1553 discretes and other discrete signals); and C) the power lines (which...

Fourier Transform in the West (FFTW) is a software library for computing discrete Fourier transforms (DFTs) developed by Matteo Frigo and Steven G. Johnson...

{\displaystyle S} is a set of states called the state space. The state space may be discrete or continuous, like the set of real numbers. A {\displaystyle A} is a set...

thus may change with different treatments. CFRs are most often used for discrete, limited-time courses, such as acute infections. The mortality rate – often...

diagrams enable the visualization of bifurcation theory. In the context of discrete-time dynamical systems, the diagram is also called orbit diagram. An example...

mathematics the finite Fourier transform may refer to either another name for discrete-time Fourier transform (DTFT) of a finite-length series.  E.g., F.J.Harris...

different discrete values of τ {\displaystyle \tau } and a discrete value of c n {\displaystyle c_{n}} Back to the second step, until all discrete scaling...

they are a family of continuous functions which encode the behavior of discrete multi-dimensional periodic systems, such as crystal lattices or points...

and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n...

most common digital compression artifacts are DCT blocks, caused by the discrete cosine transform (DCT) compression algorithm used in many digital media...

microphones. While discrete resistors in the range of few tens of megohm are very common, making giga-ohm range resistors is more complicated. Discrete resistors...

complex plane Discrete Fourier transform (DFT), occasionally called the finite Fourier transform, the Fourier transform of a discrete periodic sequence...

{\displaystyle D\,}  ∈ L(U, Y) the following difference equations determine a discrete-time linear time-invariant system: x ( k + 1 ) = A x ( k ) + B u ( k )...

of indexes. In LTI system theory, the discrete unit sample function is typically used as an input to a discrete-time system for determining the impulse...

Graham Brightwell is a British mathematician working in the field of discrete mathematics. A professor at the London School of Economics, he has published...

the magnetic field gradient, from a straight path. The screen revealed discrete points of accumulation, rather than a continuous distribution, owing to...

as the marginal distribution. Given a known joint distribution of two discrete random variables, say, X and Y, the marginal distribution of either variable...

the definition of H[0] is significant. The discrete-time unit impulse is the first difference of the discrete-time step: δ [ n ] = H [ n ] − H [ n − 1 ]...

Zetex Semiconductors plc is a UK-based manufacturer of discrete semiconductor devices such as diodes and transistors. Originally a subsidiary of Ferranti...

self-referential sentences of first-order logic Lawvere's fixed-point theorem Discrete fixed-point theorems Earle-Hamilton fixed-point theorem Fixed-point combinator...

quantitative data on concentrations of discrete items from positive/negative (incidence) data. There are many discrete entities that are easily detected but...

discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus" and "meta-calculus". In the discrete setting...

equivalent discrete version similar to the strong Hex theorem, then proving the discrete version. In image processing, a binary picture is a discrete square...

claims, calling them "baseless speculation". "Randomized Rounding And Discrete Ham-Sandwich Theorems: Provably Good Algorithms for Routing and Packing...

key index is distinctly different from relational databases which reduce discrete relationships through referential models. Time series datasets are relatively...

Hamilton–Jacobi equation from classical physics was first drawn by Rudolf Kálmán. In discrete-time problems, the analogous difference equation is usually referred to...

mortar methods are discretization methods for partial differential equations, which use separate finite element discretization on nonoverlapping subdomains...

JPEG image compression standard uses the two-dimensional discrete cosine transform, a discrete form of the Fourier cosine transform, which uses only cosine...

quotient represents a quick method to estimate the natural frequency of both discrete and continuous oscillating systems. ω n 2 ≈ V T ~ {\displaystyle \omega...

In mathematics, a summation equation or discrete integral equation is an equation in which an unknown function appears under a summation sign. The theories...

In mathematics, a Kleinian group is a discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space H3. The latter, identifiable...

regular and T0 and has a σ-discrete basis. A family of sets is called σ-discrete when it is a union of countably many discrete collections, where a family...

Massachusetts Institute of Technology (MIT). He is noted for pioneering discrete-choice methods in travel-demand modelling and for co-creating DynaMIT,...

Digital geometry deals with discrete sets (usually discrete point sets) considered to be digitized models or images of objects of the 2D or 3D Euclidean...

SimEvents is a discrete event simulation tool developed by MathWorks. It adds a library of graphical building blocks for modeling queuing systems to the...

are powerless to protect themselves via the political process and is a "discrete" and "insular" minority. The group's distinguishing characteristic does...

or digital, in which case the signal varies according to a series of discrete values representing the information. For analog signals, signal processing...

determine whether a discrete, linear, time-invariant (LTI) system is stable proposed by Yuval Bistritz. Stability of a discrete LTI system requires that...

A second unit is a discrete team of filmmakers tasked with filming shots or sequences of a production, separate from the main or "first" unit. The second...

shell correlation Pinsky phenomenon Generalized Fourier series Regressive discrete Fourier series Gibbs phenomenon Sigma approximation Dini test Poisson summation...

the name. The law of total probability is a theorem that states, in its discrete case, if { B n : n = 1 , 2 , 3 , … } {\displaystyle \left\{{B_{n}:n=1,2...

ordinary scales. Quantum systems have bound states that are quantized to discrete values of energy, momentum, angular momentum, and other quantities, in...

Free and open-source software portal JaamSim is a fast and scalable discrete-event simulation software that includes a drag-and-drop user interface, interactive...

Note that a bad thing is discrete, since it happens at a particular place during execution. A "good thing" need not be discrete, but the liveness property...

representing the current state of a discrete-time system (i.e. digital system) is x [ n ] {\displaystyle x[n]} , where n is the discrete point in time at which the...

given any closed discrete subset of X {\displaystyle X} , there is a pairwise disjoint family of open sets with each point of the discrete subset contained...

combinatorics of packings of arbitrarily-sized circles: these give rise to discrete analogs of conformal mapping, Riemann surfaces and the like. In the two-dimensional...

mathematical decompositions of vector fields over both continuous and discrete spaces. In particular, it applies to decompositions of stationary stochastic...

defined, practical notions arise concerning sufficient typicality. Given a discrete-time stationary ergodic stochastic process X {\displaystyle X} on the probability...

efficiency used in the setting of fair allocation of discrete objects. An allocation of objects is called discrete if each item is wholly allocated to a single...

British Columbia. His main research interests are arithmetic combinatorics, discrete geometry, graph theory, and combinatorial number theory. Solymosi earned...

(Hz). When the signal is sampled at a higher sample rate , the resulting discrete-time sequence is said to be free of the distortion known as aliasing. Conversely...

Laboratory, is a fast Fourier transform (FFT) algorithm that computes the discrete Fourier transform (DFT) of prime sizes by re-expressing the DFT as a cyclic...

_{2}(p_{i})} Intuitively, the entropy H ( X ) {\displaystyle H(X)} of a discrete random variable X is a measure of the amount of uncertainty associated...

thermostats are bang–bang controllers. The Heaviside step function in its discrete form is an example of a bang–bang control signal. Due to the discontinuous...

between the input and the system. Discrete-time signal processing is for sampled signals, defined only at discrete points in time, and as such are quantized...

contexts, the term may refer to an initial value of a recurrence relation, discrete dynamical system, hyperbolic partial differential equation, or even a seed...

In discrete mathematics, Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem...

perhaps linear amplifiers) are generally IIR filters. On the other hand, discrete-time filters (usually digital filters) based on a tapped delay line employing...

the installments progressed. Nearly all the chapters can stand alone as discrete works. In I Am a Cat, a supercilious, feline narrator describes the lives...

optical modes to Laguerre-Gauss optical modes). It has been shown that any discrete modal unitary operator can be realized using successive beam splitters...

designer and manufacturer of small-signal, discrete semiconductors. It produces over 2,000 different discrete semiconductors, including dual- and single-junction...

This is in contrast to systems that use centralized controllers; either discrete controllers located at a central control room or within a central computer...

substitute these discrete elements in lieu of the continuous elements in (2). More precisely, the GDM starts by defining a Gradient Discretization (GD), which...

The Duffing map (also called as 'Holmes map') is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior...

is a peer-reviewed academic journal in graph theory, combinatorics, and discrete geometry published by Springer Japan. Its editor-in-chief is Katsuhiro...

taken many forms since its introduction in 1997. One axis of diversity is discrete vs. continuous semantics. Another axis is how FRP systems can be changed...

computational Diffie–Hellman problem. Two variants of IES are specified: Discrete Logarithm Integrated Encryption Scheme (DLIES) and Elliptic Curve Integrated...

Image Gradient Operator" at a talk at SAIL in 1968. Technically, it is a discrete differentiation operator, computing an approximation of the gradient of...

jellyfish, and organism parts, like flowers. There are two families of discrete two-dimensional point groups, and they are specified with parameter n,...

the start state. Q-learning and similar techniques for mapping discrete states to discrete actions need to be extended to be able to deal with the continuous...

Research and Markets. June 5, 2019. Retrieved 24 October 2019. "Global discrete semiconductor shipments by type 2011-2020". Statista. Retrieved 15 October...

picture than simple discrete electron transfers. It is, nevertheless, possible to draw the curved arrows for a sequence of discrete electron transfers...

analysis, circulant matrices are important because they are diagonalized by a discrete Fourier transform, and hence linear equations that contain them may be...

Graph minor Rosen, Kenneth H. (1999), Handbook of Discrete and Combinatorial Mathematics, Discrete Mathematics and Its Applications, CRC Press, p. 515...

parallel to the coordinate axes. On a chessboard, where one is using a discrete Chebyshev distance, rather than a continuous one, the circle of radius...

as height or mass—as opposed to phenotypes and gene-products that are discretely identifiable—such as eye-colour, or the presence of a particular biochemical...

data. The second class has discrete sensors in an raster-like structure on the sensor surface that supply local discrete data. The technical term PSD...

important discrete version: a real-valued function f {\displaystyle f} on a finite or infinite graph G ( V , E ) {\displaystyle G(V,E)} is discrete harmonic...

among the first whose security is based on the intractability of certain discrete logarithm problems. It is efficient and generates short signatures. It...

the University of California, Los Angeles, working in combinatorics and discrete probability. He formerly taught at the Massachusetts Institute of Technology...

are over 200 million GeForce gamers". The first GeForce products were discrete GPUs designed for add-on graphics boards, intended for the high-margin...

a computational hardness assumption about a certain problem involving discrete logarithms in cyclic groups. It is used as the basis to prove the security...

distinguishable from each other. Color schemes in discrete form are intended to visualise a set or range of discrete data points, but are also often used with...

whose discrete Fourier transform is maximally localized on a given frequency interval, as measured by the spectral concentration. The discrete Fourier...

lifting scheme is a technique for both designing wavelets and performing the discrete wavelet transform (DWT). In an implementation, it is often worthwhile to...

is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass...

standard is the modified discrete cosine transform (MDCT), a lossy audio compression algorithm. It is a modification of the discrete cosine transform (DCT)...

preconditioners is the discrete version of this decomposition, which is also known as HX decomposition. The discrete decomposition decomposes a discrete Sobolev space...

work on real numbers, a commonly used method to solve discrete problems is to map the discrete search space to a continuous domain, to apply a classical...

to use the discrete Gaussian kernel which has superior characteristics for some purposes. Unlike the sampled Gaussian kernel, the discrete Gaussian kernel...

A small outline transistor (SOT) is a family of small footprint, discrete surface mount transistor commonly used in consumer electronics. The most common...

Photographic Experts Group created the standard in 1992, based on the discrete cosine transform (DCT) algorithm. JPEG was largely responsible for the...

networks over the symmetric relations or asymmetric relations between their (discrete) components. Network theory has applications in many disciplines, including...

Hungarian mathematician known for her contributions to graph theory and discrete geometry. A student of Vera T. Sós and a co-author of Paul Erdős, she is...

well as contributions to solid-state magnetic resonance imaging (MRI), discrete time crystals, and sparse-sampling reconstruction algorithms. Barrett earned...

storage needs). The most widely used lossy compression algorithm is the discrete cosine transform (DCT), first published by Nasir Ahmed, T. Natarajan and...

parallel algorithms etc.) Modeling and simulation Algorithms for solving discrete and continuous problems Analysis and visualization of data Mathematical...

traditional idea of time discretization. Unlike traditional numerical solution methods, which approach the problem by discretizing time and solving for the...

the chapter book) may have multiple chapters that respectively comprise discrete topics or themes. In each case, chapters can be numbered, titled, or both...

The Tinkerbell map is a discrete-time dynamical system given by: x n + 1 = x n 2 − y n 2 + a x n + b y n {\displaystyle x_{n+1}=x_{n}^{2}-y_{n}^{2}+ax_{n}+by_{n}}...

of Kohn (also known as interalveolar connections or alveolar pores) are discrete holes in walls of adjacent alveoli. Cuboidal type II alveolar cells, which...

The color of that light depends on the energy difference between the discrete energy levels of the quantum dot in the conduction band and the valence...

information technology with various definitions, such as "a description of a discrete and focused business operation or activity and how IS/IT supports that...

Silver–Pohlig–Hellman algorithm, is a special-purpose algorithm for computing discrete logarithms in a finite abelian group whose order is a smooth integer. The...

(including Tanaka's formula). Volume 3 is titled Discrete potential theory, and provides an introduction to discrete potential theory, covering réduite, "new...

Ryan; Park, Josiah; Vlasiuk, Oleksandr (2021). "Energy on spheres and discreteness of minimizing measures" (PDF). Journal of Functional Analysis. 280 (11)...