6,052 articles
Matérn covariance function
The Matérn covariance function, or Matern kernel, is a parametric family of covariance functions describing correlation in random fields, widely used in spatial statistics, geostatistics, and machine learning.
Math 55
Math 55 is a two-semester honors mathematics sequence at Harvard University covering algebra, group theory, and real and complex analysis, known as the hardest undergraduate math class.
Mathematical analysis
Mathematical analysis, also known as classical analysis, is the branch of mathematics that studies real and complex functions through limits, continuity, differentiation, and integration, underpinning calculus.
Mathematical and theoretical biology
Mathematical and theoretical biology, also called biomathematics, applies mathematical models and theoretical analysis to living systems, from whole populations down to molecules, in contrast with experimental biology.
Mathematical coincidence
A mathematical coincidence, also called a coincidence in mathematics, is an equality or near-equality between different mathematical quantities that has no known theoretical explanation, such as rational approximations to π.
Mathematical constant
A mathematical constant is a well-defined real number arising from mathematics rather than measurement, the best known being π and e, the base of natural logarithms.
Mathematical induction
Mathematical induction, also called proof by induction, is a proof technique that establishes a statement holds for every natural number from a base case onward.
Mathematical linguistics
Mathematical linguistics is the study of mathematical structures and methods for describing the structure of natural languages, arising in the 1950s from machine translation and Chomsky's early work.
Mathematical logic
Mathematical logic, also known as formal logic, is the branch of mathematics that builds formal languages and proof systems, comprising proof theory, model theory, set theory, and computability theory.
Mathematical manuscripts of Karl Marx
Karl Marx's mathematical manuscripts are roughly a thousand sheets of notes on mathematics, chiefly the differential calculus, written in the 1850s to 1883 and published in the 20th century.
Mathematical model
Mathematical modeling is the description of a system or phenomenon in mathematical language, used for virtual experiments, prediction, and analysis when real experiments would be expensive or impossible.
Mathematical notation
Mathematical notation, also called maths or math notation, is the system of symbols and conventions by which mathematics is written, developed gradually from the fifteenth century onward.
Mathematical operators and symbols in Unicode
Mathematical operators and symbols in Unicode, also called Unicode mathematical symbols, are the characters Unicode encodes for mathematical notation, centered on the Mathematical Operators block.
Mathematical Platonism
Mathematical Platonism is the metaphysical view that abstract mathematical objects, such as numbers, sets, and functions, exist independently of us, our language, and our practices, so mathematical truths are discovered, not invented.
Mathematical proof
A mathematical proof is a deductive argument establishing a statement as true from accepted starting points such as axioms and definitions, tracing to Euclid's Elements.
Mathematical statistics
Mathematical statistics, also known as theoretical statistics, is the branch of mathematics that develops statistical methods with probability theory, covering estimation, hypothesis testing, confidence intervals, and experimental design.
Mathematician
A mathematician is a person who uses mathematics as a profession or primary field of study, either extending mathematical knowledge through research and proof or applying it to practical problems.
Mathematics
Mathematics (Mathematik) is the science of structure, order, and relation that evolved from counting, measuring, and describing shapes, spanning ancient Babylonian arithmetic to modern fields like artificial intelligence.
Mathematics and art
Mathematics and art, also called math and art, is the interaction between mathematical ideas like geometry, proportion, and perspective and visual art, running from ancient Greece through Renaissance perspective to Escher and fractals.
Mathematics Subject Classification
The Mathematics Subject Classification (MSC) is an alphanumeric scheme for categorizing mathematical literature, maintained jointly by Mathematical Reviews and zbMATH and revised roughly every ten years since 1990.
Mathieu equation
The Mathieu equation is a second-order differential equation with a periodic cosine coefficient, introduced by Émile Léonard Mathieu in 1868 while studying the vibrations of an elliptical membrane.
Mathieu functions
Mathieu functions, also called elliptic cylinder functions, are the periodic solutions of Mathieu's equation, introduced in 1868 by Émile Mathieu to describe vibrations of an elliptical membrane.
Mathieu group
The Mathieu groups are five finite simple groups, M11 through M24, discovered by Émile Mathieu in 1861 and 1873 as the first sporadic simple groups.
MathOverflow
MathOverflow is a question and answer site for professional mathematicians, focused on current research in mathematics, founded in 2009 and hosted on the Stack Exchange network since 2013.
Matrix
A matrix is a rectangular array of numbers arranged in rows and columns, the central object of linear algebra, used to represent linear transformations and systems of equations.
Matrix (mathematics)
A matrix is a rectangular array of numbers arranged in rows and columns, treated as a single mathematical object; James Joseph Sylvester first used the term in 1850.
Matrix calculus
Matrix calculus, also called matrix differentiation, extends differential calculus to functions whose arguments or values are vectors or matrices, and is central to statistics, econometrics, and machine learning.
Matrix completion
Matrix completion is the problem of recovering an unknown low-rank matrix from a small sample of its entries, famously applied in the Netflix Prize recommender competition.
Matrix decomposition
A matrix decomposition, or matrix factorization, represents a matrix as a product of simpler matrices such as LU, Cholesky, QR, and the singular value decomposition.
Matrix exponential
The matrix exponential, or exponential of a matrix, generalizes the scalar exponential to square matrices via a convergent power series and gives the closed-form solution of linear differential systems.