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Academic journal
Discrete Analysis is a mathematics journal covering the applications of analysis to discrete structures. Discrete Analysis is an arXiv overlay journal
Discrete_Analysis
Study of discrete mathematical structures
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
Discrete_mathematics
Branch of mathematics
underpinnings of the Fourier transform. More specific, Fourier analysis can be done on cosets, even discrete cosets. Conjugate Fourier series Generalized Fourier
Fourier_analysis
Transform in numerical harmonic analysis
numerical analysis and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled.
Discrete_wavelet_transform
Types of numerical variables in mathematics
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
Continuous or discrete variable
Continuous_or_discrete_variable
Area of mathematical analysis
Harmonic analysis is an area of mathematical analysis that emerged from the study of harmonic functions, and especially their boundary behavior. The methods
Harmonic_analysis
Function in discrete mathematics
In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another
Discrete_Fourier_transform
Points with no three in a line
multiplication", Discrete Analysis, arXiv:1605.06702, Bibcode:2016arXiv160506702B, doi:10.19086/da.1245. Hill, Raymond (1978), "Caps and codes", Discrete Mathematics
Cap_set
Discrete (i.e., incremental) version of infinitesimal calculus
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
Discrete_calculus
Discrete Fourier transform algorithm
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
Fast_Fourier_transform
One of several theorems in different areas of mathematics
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
Schur's_theorem
Theory on customer satisfaction
been proposed, from which the most common ones are the "Discrete analysis" and "Continuous analysis", also "Satisfaction coefficients". The data for the
Kano_model
Choice between two or more discrete alternatives
using regression analysis. On the other hand, discrete choice analysis examines situations in which the potential outcomes are discrete, such that the optimum
Discrete_choice
Sequence of data points over time
reversibility). Time series analysis can be applied to real-valued, continuous data, discrete numeric data, or discrete symbolic data (i.e. sequences
Time_series
Sequence of numbers consisting of 1 and -1
proof was published in 2016, as the first paper in the new journal Discrete Analysis. Erdős discrepancy of finite sequences has been proposed as a measure
Sign_sequence
British mathematician
Gowers with starting an Academic Spring. In 2016, Gowers started Discrete Analysis to demonstrate that a high-quality mathematics journal could be inexpensively
Timothy_Gowers
Branch of mathematics
manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). Modern numerical analysis does not seek exact answers, because
Mathematical_analysis
Technique used in signal processing and data compression
A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies
Discrete_cosine_transform
Signal representation
and control systems. Z transform – discrete-time signals, digital signal processing. Wavelet transform — image analysis, data compression. More generally
Frequency_domain
Branch of geometry that studies combinatorial properties and constructive methods
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric
Discrete_geometry
Analog of the continuous Laplace operator
quantum gravity, as well as in the study of discrete dynamical systems. It is also used in numerical analysis as a stand-in for the continuous Laplace operator
Discrete_Laplace_operator
Concept in the philosophy of mathematics
Kornai On feasible numbers by Vladimir Sazonov "Real" Analysis Is A Degenerate Case Of Discrete Analysis by Doron Zeilberger Discussion on formal foundations
Ultrafinitism
Analysis of datasets using techniques from topology
reduction Data mining Computer vision Computational topology Discrete Morse theory Shape analysis (digital geometry) Size theory Algebraic topology Topological
Topological_data_analysis
Data analysis is the process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions
Data_analysis
Mathematical transform using in signal processing
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of
Modified discrete cosine transform
Modified_discrete_cosine_transform
Conversion of continuous functions into discrete counterparts
applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This
Discretization
Concept relating to waves and signals
phonons in a crystal. The continuous and discrete spectra of physical systems can be modeled in functional analysis as different parts in the decomposition
Spectrum_(physical_sciences)
Fourier analysis technique applied to sequences
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-time Fourier transform
Discrete-time_Fourier_transform
Quantization error in numerical analysis
In numerical analysis, computational physics, and simulation, discretization error is the error resulting from the fact that a function of a continuous
Discretization_error
Study of structures where a subset must sum to zero
tools from number theory, algebra, linear algebra, graph theory, discrete analysis, and other branches of mathematics. The classic result in this area
Zero-sum_Ramsey_theory
Branch of mathematics studying functions of a complex variable
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that studies complex-valued
Complex_analysis
2016.183.3.4. Tao, Terence (2016). "The Erdős discrepancy problem". Discrete Analysis: 1–29. arXiv:1509.05363. doi:10.19086/da.609. ISSN 2397-3129. MR 3533300
List of conjectures by Paul Erdős
List_of_conjectures_by_Paul_Erdős
Branch of discrete mathematics
Combinatorial chemistry Combinatorial data analysis Combinatorial game theory Combinatorial group theory Discrete mathematics List of combinatorics topics
Combinatorics
Fourier-related mathematical transform
A discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous
Discrete_Hartley_transform
Mathematical function for the probability a given outcome occurs in an experiment
numbers), it is common to distinguish between discrete and continuous random variables. In the discrete case, it is sufficient to specify a probability
Probability_distribution
Method of data analysis
Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data
Principal_component_analysis
Concept in Fourier analysis
In Fourier analysis, the cepstrum (/ˈkɛpstrʌm, ˈsɛp-, -strəm/; plural cepstra, adjective cepstral) is the result of computing the inverse Fourier transform
Cepstrum
Study of Boolean functions via discrete Fourier analysis
number of inputs and other complexity measures of Boolean functions". Discrete Analysis. arXiv:2005.00566. doi:10.19086/da.57741 (inactive 11 July 2025).{{cite
Analysis_of_Boolean_functions
Mathematical transform on discrete signals
transform the counterpart is the discrete Fourier transform. In addition to spectral analysis of signals, discrete transforms play important role in
Discrete_transform
Type of topological space
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
Discrete_space
Average uncertainty in variable's states
Tao, Terence (28 February 2016). "The Erdős discrepancy problem". Discrete Analysis. arXiv:1509.05363v6. doi:10.19086/da.609. S2CID 59361755. Archived
Entropy_(information_theory)
Index of open access scholarly journals
accepted into the Free Journal Network. Some notable examples include: Discrete Analysis European Journal of Taxonomy Glossa Journal of Open Source Software
Free_Journal_Network
Mathematik) Differential Equations Discrete Analysis Discrete and Computational Geometry Discrete Mathematics Discrete Applied Mathematics Duke Mathematical
List_of_mathematics_journals
Academic journal
articles on pure and applied discrete mathematics. It was established in 1988, along with the SIAM Journal on Matrix Analysis and Applications, to replace
SIAM Journal on Discrete Mathematics
SIAM_Journal_on_Discrete_Mathematics
Collection of random variables
processes are respectively referred to as discrete-time and continuous-time stochastic processes. Discrete-time stochastic processes are considered easier
Stochastic_process
Branch of mathematics concerning probability
space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic
Probability_theory
Mathematical technique used in data compression and analysis
wavelets along with traditional harmonic analysis. For example, the Vorbis audio codec primarily uses the modified discrete cosine transform to compress audio
Wavelet_transform
Transform in mathematics
In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real
Discrete_sine_transform
Process of understanding a complex topic or substance
activation to develop discrete measurements within vast samples. A matrix can have a considerable effect on the way a chemical analysis is conducted and the
Analysis
Methods for numerical approximations
(in contrast to discrete mathematics), and typically use numerical approximation in addition to symbolic manipulation. Numerical analysis finds application
Numerical_analysis
Fourier analysis topics. Multiplier (Fourier analysis) Fourier shell correlation Pinsky phenomenon Generalized Fourier series Regressive discrete Fourier
List of Fourier analysis topics
List_of_Fourier_analysis_topics
British mathematician (born 1977)
Ben; Sanders, Tom (1 March 2016). "Monochromatic sums and products". Discrete Analysis. 5202016 (1). arXiv:1510.08733. doi:10.19086/da.613. ISSN 2397-3129
Ben_Green_(mathematician)
Overview of and topical guide to combinatorics
Codes and Cryptography Discrete Analysis Discrete & Computational Geometry Discrete Applied Mathematics Discrete Mathematics Discrete Mathematics & Theoretical
Outline_of_combinatorics
American physiologist (1925–2013)
commercially available discrete analyzer, and probably the first to produce results with a digital print-out." Automatic discrete analysis instrumentation revolutionized
Hans_Baruch
Academic journal
European Physical Society as maintaining a high standard of peer review. Discrete Analysis "Copyright of works published by Quantum". Archived from the original
Quantum_(journal)
Numerical method
1979, the generalized discrete element method, the discontinuous deformation analysis (DDA) (Shi 1992) and the finite-discrete element method concurrently
Discrete_element_method
Academic journal
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
SIAM Journal on Matrix Analysis and Applications
SIAM_Journal_on_Matrix_Analysis_and_Applications
Survey-based statistical technique
application of conjoint analysis. Conjoint analysis techniques may also be referred to as multiattribute compositional modelling, discrete choice modelling,
Conjoint_analysis
Applied behavior analysis teaching technique
Discrete trial training (DTT) is a technique used by practitioners of applied behavior analysis (ABA) that was developed by Ivar Lovaas at the University
Discrete_trial_training
Combinatorial approach of studying the topology of a manifold
Discrete Morse theory is a combinatorial adaptation of Morse theory developed by Robin Forman and Kenneth Brown. The theory has various practical applications
Discrete_Morse_theory
filtered out. Jerri, A.J. (1992). Integral and discrete transforms with applications and error analysis. Pure and Applied Mathematics. Vol. 162. New York:
Finite_Legendre_transform
Integral expressing the amount of overlap of one function as it is shifted over another
similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation
Convolution
Vertices connected in pairs by edges
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
Graph_(discrete_mathematics)
Generalisation of Fourier transform to any ring
In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex
Discrete Fourier transform over a ring
Discrete_Fourier_transform_over_a_ring
Branch of mathematics
techniques of real analysis and discrete mathematics. It has close connections to convex analysis, optimization and functional analysis and important applications
Geometry
Shape containing unit line segments in all directions
the two lines at which these triangle were cut are parallel. A detailed analysis of the emerging figure shows that its area shrinks to zero as n grows.
Kakeya_set
Probability distribution
In probability theory and statistics, the discrete Weibull distribution is the discrete variant of the Weibull distribution. Introduced by Toshio Nakagawa
Discrete_Weibull_distribution
Academic journal platform
sciences, and STEM, as well as student-run law reviews. In March 2016 Discrete Analysis, an arXiv overlay journal launched by Fields Medalist Sir Timothy
Scholastica_(company)
base discrete weighted transform Least-squares spectral analysis FFT multiplication Spectral method Fourier transform spectroscopy Signal analysis Analytic
List of harmonic analysis topics
List_of_harmonic_analysis_topics
Mathematica Contemporanea Australasian Journal of Combinatorics Discrete Analysis Discrete Mathematics & Theoretical Computer Science Documenta Mathematica
List_of_open-access_journals
Branch of statistics
specified time Survival rate – Medical analysis of disease Discrete-time proportional hazards – Concept in survival analysis Clark, T G; Bradburn, M J; Love
Survival_analysis
Varying physical quantity that conveys information
is between discrete and continuous spaces that the functions are defined over, for example, discrete and continuous-time domains. Discrete-time signals
Signal
Type of data measuring one attribute
subcategories: discrete and continuous. Numerical univariate data is discrete if the set of all possible values is finite or countably infinite. Discrete univariate
Univariate_(statistics)
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
Discrete least squares meshless method
Discrete_least_squares_meshless_method
Finite difference equation
takes the place of the Laplace operator. The discrete Poisson equation is frequently used in numerical analysis as a stand-in for the continuous Poisson equation
Discrete_Poisson_equation
Application of respondent and operant conditioning to change behavior
MW, Mace FC, Perry L, Longenecker H (2007). "Applied behavior analysis: beyond discrete trial teaching". Psychology in the Schools. 44 (1): 91–99. doi:10
Applied_behavior_analysis
Category whose only morphisms are the identity morphisms
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}
Discrete_category
Numerical method for solving physical or engineering problems
Examples of discretization strategies are the h-version, p-version, hp-version, x-FEM, isogeometric analysis, etc. Each discretization strategy has certain
Finite_element_method
Automated analyzer using a flow technique
competitive system of analysis was introduced by Hans Baruch of Research Specialties Company. That system became known as Discrete Sample Analysis and was represented
AutoAnalyzer
Field of machine learning
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
Reinforcement_learning
Field of higher mathematics
Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are
Geometric_analysis
American mathematician
sets and the group-theoretic approach to matrix multiplication". Discrete Analysis. arXiv:1605.06702. doi:10.19086/da.1245. Blasiak, Jonah; Church, Thomas;
Henry_Cohn
Israeli-American transport engineer and economist
MIT. His doctoral research laid the foundations for the textbook Discrete Choice Analysis. Immediately after completing his doctorate, Ben-Akiva joined the
Moshe_Ben-Akiva
Periodicity computation method
with the other LSSA methods, FOS avoids the major shortcoming of discrete Fourier analysis, so it can accurately identify embedded periodicities and excel
Least-squares spectral analysis
Least-squares_spectral_analysis
Discrete device in an electronic system
An electronic component is any basic discrete electronic device or physical entity part of an electronic system used to affect electrons or their associated
Electronic_component
Type of simulation
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
Discrete-event_simulation
Australian transport economist (born 1947)
School. Hensher is widely regarded as a pioneer of discrete-choice modelling in transport analysis; his 2003 survey of the mixed logit model remains one
David_A._Hensher
Topological data analysis tool
scale parameter. Often, the Vietoris–Rips filtration is used to create a discrete, simplicial model on point cloud data embedded in an ambient metric space
Vietoris–Rips_filtration
Variant of fast Fourier transform
In mathematics, the irrational base discrete weighted transform (IBDWT) is a variant of the fast Fourier transform using an irrational base; it was developed
Irrational base discrete weighted transform
Irrational_base_discrete_weighted_transform
Statistical method
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved
Factor_analysis
Area of mathematics
" 2021. Discrete Laplace operator Discrete exterior calculus Discrete Morse theory Topological combinatorics Spectral shape analysis Analysis on fractals
Discrete differential geometry
Discrete_differential_geometry
Approach to public-key cryptography
elliptic-curve protocols, a central hardness assumption is the elliptic curve discrete logarithm problem (ECDLP): given a public base point P {\displaystyle P}
Elliptic-curve_cryptography
Function for integral Fourier-like transform
related to harmonic analysis. Discrete wavelet transform (continuous in time) of a discrete-time (sampled) signal by using discrete-time filterbanks of
Wavelet
Concept in mathematics
In mathematics, more specifically in mathematical analysis, the Cauchy product is the discrete convolution of two infinite series. It is named after the
Cauchy_product
Study of abstract machines and automata
considered a branch of mathematical systems theory, studying the behavior of discrete-parameter systems. Early work in automata theory differed from previous
Automata_theory
Family of implicit and explicit iterative methods
implicit iterative methods, which include the Euler method, used in discretization for the approximate solutions of differential equations. These methods
Runge–Kutta_methods
Area of mathematics
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
Dynamical_systems_theory
Statistical analyses that were not specified before the data were seen
families of comparisons In addition, a subgroup analysis examines whether findings differ between discrete categories of subjects in the sample. This approach
Post_hoc_analysis
Field of electrical engineering
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
Signal_processing
Branch of mathematics
developed. Concrete problems and examples came from number theory, geometry, analysis, and the solutions of algebraic equations. Most theories that are now recognized
Abstract_algebra
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