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local class field theory | Physics | 1 | the study of abelian extensions of local fields. |
low-dimensional topology | Physics | 1 | the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions. |
malliavin calculus | Physics | 1 | a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic functions to stochastic processes. |
mathematical biology | Physics | 1 | the mathematical modeling of biological phenomena. |
mathematical chemistry | Physics | 1 | the mathematical modeling of chemical phenomena. |
mathematical economics | Physics | 1 | the application of mathematical methods to represent theories and analyze problems in economics. |
mathematical finance | Physics | 1 | a field of applied mathematics, concerned with mathematical modeling of financial markets. |
mathematical logic | Physics | 1 | a subfield of mathematics exploring the applications of formal logic to mathematics. |
mathematical optimization | Physics | 1 | The development of mathematical methods suitable for application to problems in physics. |
mathematical physics | Physics | 1 | The development of mathematical methods suitable for application to problems in physics. |
mathematical psychology | Physics | 1 | an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior. |
mathematical sciences | Physics | 1 | refers to academic disciplines that are mathematical in nature, but are not considered proper subfields of mathematics. Examples include statistics, cryptography, game theory and actuarial science. |
mathematical sociology | Physics | 1 | the area of sociology that uses mathematics to construct social theories. |
mathematical statistics | Physics | 1 | the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. |
mathematical system theory | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
matrix algebra | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
matrix calculus | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
matrix theory | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
matroid theory | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
measure theory | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
metric geometry | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
microlocal analysis | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
model theory | Physics | 1 | the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. |
modern algebra | Physics | 1 | Occasionally used for abstract algebra. The term was coined by van der Waerden as the title of his book Moderne Algebra, which was renamed Algebra in the latest editions. |
modern algebraic geometry | Physics | 1 | the form of algebraic geometry given by Alexander Grothendieck and Jean-Pierre Serre drawing on sheaf theory. |
modern invariant theory | Physics | 1 | the form of invariant theory that analyses the decomposition of representations into irreducibles. |
modular representation theory | Physics | 1 | a part of representation theory that studies linear representations of finite groups over a field K of positive characteristic p, necessarily a prime number. |
module theory | Physics | 1 | a part of differential topology, it analyzes the topological space of a manifold by studying differentiable functions on that manifold. |
molecular geometry | Physics | 1 | a part of differential topology, it analyzes the topological space of a manifold by studying differentiable functions on that manifold. |
morse theory | Physics | 1 | a part of differential topology, it analyzes the topological space of a manifold by studying differentiable functions on that manifold. |
motivic cohomology | Physics | 1 | an extension of linear algebra building upon concepts of p-vectors and multivectors with Grassmann algebra. |
multilinear algebra | Physics | 1 | an extension of linear algebra building upon concepts of p-vectors and multivectors with Grassmann algebra. |
multiplicative number theory | Physics | 1 | a subfield of analytic number theory that deals with prime numbers, factorization and divisors. |
multivariable calculus | Physics | 1 | the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving several variables, rather than just one. |
neutral geometry | Physics | 1 | See absolute geometry. |
nevanlinna theory | Physics | 1 | part of complex analysis studying the value distribution of meromorphic functions. It is named after Rolf Nevanlinna |
nielsen theory | Physics | 1 | an area of mathematical research with its origins in fixed point topology, developed by Jakob Nielsen |
non-abelian class field theory | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
non-classical analysis | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
non-euclidean geometry | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
non-standard analysis | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
non-standard calculus | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
nonarchimedean dynamics | Physics | 1 | also known as p-adic analysis or local arithmetic dynamics |
noncommutative algebra | Physics | 1 | a direction in noncommutative geometry studying the geometric properties of formal duals of non-commutative algebraic objects. |
noncommutative algebraic geometry | Physics | 1 | a direction in noncommutative geometry studying the geometric properties of formal duals of non-commutative algebraic objects. |
noncommutative geometry | Physics | 1 | see representation theory |
noncommutative harmonic analysis | Physics | 1 | see representation theory |
noncommutative topology | Physics | 1 | a branch of pure mathematics primarily devoted to the study of the integers. Originally it was known as arithmetic or higher arithmetic. |
nonlinear analysis | Physics | 1 | a branch of pure mathematics primarily devoted to the study of the integers. Originally it was known as arithmetic or higher arithmetic. |
nonlinear functional analysis | Physics | 1 | a branch of pure mathematics primarily devoted to the study of the integers. Originally it was known as arithmetic or higher arithmetic. |
number theory | Physics | 1 | a branch of pure mathematics primarily devoted to the study of the integers. Originally it was known as arithmetic or higher arithmetic. |
operad theory | Physics | 1 | a type of abstract algebra concerned with prototypical algebras. |
operation research | Physics | 1 | part of functional analysis studying operators. |
operator k-theory | Physics | 1 | part of functional analysis studying operators. |
operator theory | Physics | 1 | part of functional analysis studying operators. |
optimal control theory | Physics | 1 | a generalization of the calculus of variations. |
optimal maintenance | Physics | 1 | a branch that investigates the intuitive notion of order using binary relations. |
orbifold theory | Physics | 1 | a branch that investigates the intuitive notion of order using binary relations. |
order theory | Physics | 1 | a branch that investigates the intuitive notion of order using binary relations. |
ordered geometry | Physics | 1 | a form of geometry omitting the notion of measurement but featuring the concept of intermediacy. It is a fundamental geometry forming a common framework for affine geometry, Euclidean geometry, absolute geometry and hyperbolic geometry. |
p-adic analysis | Physics | 1 | a branch of number theory that deals with the analysis of functions of p-adic numbers. |
p-adic dynamics | Physics | 1 | an application of p-adic analysis looking at p-adic differential equations. |
p-adic hodge theory | Physics | 1 | sometimes called inconsistent mathematics, it is an attempt to develop the classical infrastructure of mathematics based on a foundation of paraconsistent logic instead of classical logic. |
parabolic geometry | Physics | 1 | sometimes called inconsistent mathematics, it is an attempt to develop the classical infrastructure of mathematics based on a foundation of paraconsistent logic instead of classical logic. |
paraconsistent mathematics | Physics | 1 | sometimes called inconsistent mathematics, it is an attempt to develop the classical infrastructure of mathematics based on a foundation of paraconsistent logic instead of classical logic. |
partition theory | Physics | 1 | see general topology |
perturbation theory | Physics | 1 | see general topology |
picard–vessiot theory | Physics | 1 | see general topology |
plane geometry | Physics | 1 | see general topology |
point-set topology | Physics | 1 | see general topology |
pointless topology | Physics | 1 | a branch within combinatorics and discrete geometry that studies the problems of describing convex polytopes. |
poisson geometry | Physics | 1 | a branch within combinatorics and discrete geometry that studies the problems of describing convex polytopes. |
polyhedral combinatorics | Physics | 1 | a branch within combinatorics and discrete geometry that studies the problems of describing convex polytopes. |
possibility theory | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
potential theory | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
precalculus | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
predicative mathematics | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
probability theory | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
probabilistic combinatorics | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
probabilistic graph theory | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
probabilistic number theory | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
projective geometry | Physics | 1 | a form of geometry that studies geometric properties that are invariant under a projective transformation. |
projective differential geometry | Physics | 1 | generalizes Riemannian geometry to the study of pseudo-Riemannian manifolds. |
proof theory | Physics | 1 | generalizes Riemannian geometry to the study of pseudo-Riemannian manifolds. |
pseudo-riemannian geometry | Physics | 1 | generalizes Riemannian geometry to the study of pseudo-Riemannian manifolds. |
pure mathematics | Physics | 1 | the part of mathematics that studies entirely abstract concepts. |
quantum calculus | Physics | 1 | a form of calculus without the notion of limits. |
quantum geometry | Physics | 1 | the generalization of concepts of geometry used to describe the physical phenomena of quantum physics |
ramsey theory | Physics | 1 | the study of the conditions in which order must appear. It is named after Frank P. Ramsey. |
rational geometry | Physics | 1 | the study of the part of algebra relevant to real algebraic geometry. |
real algebra | Physics | 1 | the study of the part of algebra relevant to real algebraic geometry. |
real algebraic geometry | Physics | 1 | the part of algebraic geometry that studies real points of the algebraic varieties. |
real analysis | Physics | 1 | a branch of mathematical analysis; in particular hard analysis, that is the study of real numbers and functions of Real values. It provides a rigorous formulation of the calculus of real numbers in terms of continuity and smoothness, whilst the theory is extended to the complex numbers in complex analysis. |
real clifford algebra | Physics | 1 | the area dedicated to mathematical puzzles and mathematical games. |
real k-theory | Physics | 1 | the area dedicated to mathematical puzzles and mathematical games. |
recreational mathematics | Physics | 1 | the area dedicated to mathematical puzzles and mathematical games. |
recursion theory | Physics | 1 | see computability theory |
representation theory | Physics | 1 | a subfield of abstract algebra; it studies algebraic structures by representing their elements as linear transformations of vector spaces. It also studies modules over these algebraic structures, providing a way of reducing problems in abstract algebra to problems in linear algebra. |
representation theory of groups | Physics | 1 | a branch of topology studying ribbons. |
representation theory of the galilean group | Physics | 1 | a branch of topology studying ribbons. |
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