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classical invariant theory | Physics | 1 | the form of invariant theory that deals with describing polynomial functions that are invariant under transformations from a given linear group. |
classical mathematics | Physics | 1 | the standard approach to mathematics based on classical logic and ZFC set theory. |
classical projective geometry | Physics | 1 | the study of Dirac operators and Dirac type operators from geometry and analysis using clifford algebras. |
classical tensor calculus | Physics | 1 | the study of Dirac operators and Dirac type operators from geometry and analysis using clifford algebras. |
clifford algebra | Physics | 1 | the study of Dirac operators and Dirac type operators from geometry and analysis using clifford algebras. |
clifford analysis | Physics | 1 | the study of Dirac operators and Dirac type operators from geometry and analysis using clifford algebras. |
clifford theory | Physics | 1 | is a branch of representation theory spawned from Cliffords theorem. |
cobordism theory | Physics | 1 | the study of the properties of codes and their respective fitness for specific applications. |
coding theory | Physics | 1 | the study of the properties of codes and their respective fitness for specific applications. |
cohomology theory | Physics | 1 | a discipline viewed as the intersection between commutative algebra and combinatorics. It frequently employs methods from one to address problems arising in the other. Polyhedral geometry also plays a significant role. |
combinatorial analysis | Physics | 1 | a discipline viewed as the intersection between commutative algebra and combinatorics. It frequently employs methods from one to address problems arising in the other. Polyhedral geometry also plays a significant role. |
combinatorial commutative algebra | Physics | 1 | a discipline viewed as the intersection between commutative algebra and combinatorics. It frequently employs methods from one to address problems arising in the other. Polyhedral geometry also plays a significant role. |
combinatorial design theory | Physics | 1 | a part of combinatorial mathematics that deals with the existence and construction of systems of finite sets whose intersections have certain properties. |
combinatorial game theory | Physics | 1 | see discrete geometry |
combinatorial geometry | Physics | 1 | see discrete geometry |
combinatorial group theory | Physics | 1 | the theory of free groups and the presentation of a group. It is closely related to geometric group theory and is applied in geometric topology. |
combinatorial mathematics | Physics | 1 | an area primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. |
combinatorial number theory | Physics | 1 | also known as Infinitary combinatorics. see infinitary combinatorics |
combinatorial optimization | Physics | 1 | also known as Infinitary combinatorics. see infinitary combinatorics |
combinatorial set theory | Physics | 1 | also known as Infinitary combinatorics. see infinitary combinatorics |
combinatorial theory | Physics | 1 | an old name for algebraic topology, when topological invariants of spaces were regarded as derived from combinatorial decompositions. |
combinatorial topology | Physics | 1 | an old name for algebraic topology, when topological invariants of spaces were regarded as derived from combinatorial decompositions. |
combinatorics | Physics | 1 | a branch of discrete mathematics concerned with countable structures. Branches of it include enumerative combinatorics, combinatorial design theory, matroid theory, extremal combinatorics and algebraic combinatorics, as well as many more. |
commutative algebra | Physics | 1 | a branch of abstract algebra studying commutative rings. |
complex algebraic geometry | Physics | 1 | the mainstream of algebraic geometry devoted to the study of the complex points of algebraic varieties. |
complex analysis | Physics | 1 | a part of analysis that deals with functions of a complex variable. |
complex analytic dynamics | Physics | 1 | a subdivision of complex dynamics being the study of the dynamic systems defined by analytic functions. |
complex analytic geometry | Physics | 1 | the application of complex numbers to plane geometry. |
complex differential geometry | Physics | 1 | a branch of differential geometry that studies complex manifolds. |
complex dynamics | Physics | 1 | the study of dynamical systems defined by iterated functions on complex number spaces. |
complex geometry | Physics | 1 | the study of complex manifolds and functions of complex variables. It includes complex algebraic geometry and complex analytic geometry. |
complexity theory | Physics | 1 | the study of complex systems with the inclusion of the theory of complex systems. |
computable analysis | Physics | 1 | the study of which parts of real analysis and functional analysis can be carried out in a computable manner. It is closely related to constructive analysis. |
computable model theory | Physics | 1 | a branch of model theory dealing with the relevant questions computability. |
computability theory | Physics | 1 | a branch of mathematical logic originating in the 1930s with the study of computable functions and Turing degrees, but now includes the study of generalized computability and definability. It overlaps with proof theory and effective descriptive set theory. |
computational algebraic geometry | Physics | 1 | a branch of mathematics and theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. |
computational complexity theory | Physics | 1 | a branch of mathematics and theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. |
computational geometry | Physics | 1 | a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. |
computational group theory | Physics | 1 | the study of groups by means of computers. |
computational mathematics | Physics | 1 | the mathematical research in areas of science where computing plays an essential role. |
computational number theory | Physics | 1 | also known as algorithmic number theory, it is the study of algorithms for performing number theoretic computations. |
computational statistics | Physics | 1 | see symbolic computation |
computational synthetic geometry | Physics | 1 | see symbolic computation |
computational topology | Physics | 1 | see symbolic computation |
computer algebra | Physics | 1 | see symbolic computation |
conformal geometry | Physics | 1 | the study of conformal transformations on a space. |
constructive analysis | Physics | 1 | mathematical analysis done according to the principles of constructive mathematics. This differs from classical analysis. |
constructive function theory | Physics | 1 | a branch of analysis that is closely related to approximation theory, studying the connection between the smoothness of a function and its degree of approximation |
constructive mathematics | Physics | 1 | mathematics which tends to use intuitionistic logic. Essentially that is classical logic but without the assumption that the law of the excluded middle is an axiom. |
constructive quantum field theory | Physics | 1 | a branch of mathematical physics that is devoted to showing that quantum theory is mathematically compatible with special relativity. |
constructive set theory | Physics | 1 | an approach to mathematical constructivism following the program of axiomatic set theory, using the usual first-order language of classical set theory. |
contact geometry | Physics | 1 | a branch of differential geometry and topology, closely related to and considered the odd-dimensional counterpart of symplectic geometry. It is the study of a geometric structure called a contact structure on a differentiable manifold. |
convex analysis | Physics | 1 | the study of properties of convex functions and convex sets. |
convex geometry | Physics | 1 | part of geometry devoted to the study of convex sets. |
coordinate geometry | Physics | 1 | see analytic geometry |
cr geometry | Physics | 1 | a branch of differential geometry, being the study of CR manifolds. |
decision analysis | Physics | 1 | a part of mathematical logic, more specifically a part of set theory dedicated to the study of Polish spaces. |
decision theory | Physics | 1 | a part of mathematical logic, more specifically a part of set theory dedicated to the study of Polish spaces. |
derived noncommutative algebraic geometry | Physics | 1 | a part of mathematical logic, more specifically a part of set theory dedicated to the study of Polish spaces. |
descriptive set theory | Physics | 1 | a part of mathematical logic, more specifically a part of set theory dedicated to the study of Polish spaces. |
differential algebraic geometry | Physics | 1 | the adaption of methods and concepts from algebraic geometry to systems of algebraic differential equations. |
differential calculus | Physics | 1 | A branch of calculus that's contrasted to integral calculus, and concerned with derivatives. |
differential galois theory | Physics | 1 | the study of the Galois groups of differential fields. |
differential geometry | Physics | 1 | a form of geometry that uses techniques from integral and differential calculus as well as linear and multilinear algebra to study problems in geometry. Classically, these were problems of Euclidean geometry, although now it has been expanded. It is generally concerned with geometric structures on differentiable manifolds. It is closely related to differential topology. |
differential geometry of curves | Physics | 1 | the study of smooth curves in Euclidean space by using techniques from differential geometry |
differential geometry of surfaces | Physics | 1 | the study of smooth surfaces with various additional structures using the techniques of differential geometry. |
differential topology | Physics | 1 | a branch of topology that deals with differentiable functions on differentiable manifolds. |
diffiety theory | Physics | 1 | in general the study of algebraic varieties over fields that are finitely generated over their prime fields. |
diophantine geometry | Physics | 1 | in general the study of algebraic varieties over fields that are finitely generated over their prime fields. |
discrepancy theory | Physics | 1 | a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects. |
discrete differential geometry | Physics | 1 | a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects. |
discrete exterior calculus | Physics | 1 | a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects. |
discrete geometry | Physics | 1 | a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects. |
discrete mathematics | Physics | 1 | the study of mathematical structures that are fundamentally discrete rather than continuous. |
discrete morse theory | Physics | 1 | a combinatorial adaption of Morse theory. |
distance geometry | Physics | 1 | a branch that studies special kinds of partially ordered sets (posets) commonly called domains. |
domain theory | Physics | 1 | a branch that studies special kinds of partially ordered sets (posets) commonly called domains. |
donaldson theory | Physics | 1 | the study of smooth 4-manifolds using gauge theory. |
dyadic algebra | Physics | 1 | an area used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations. |
dynamical systems theory | Physics | 1 | an area used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations. |
econometrics | Physics | 1 | the application of mathematical and statistical methods to economic data. |
effective descriptive set theory | Physics | 1 | a branch of descriptive set theory dealing with set of real numbers that have lightface definitions. It uses aspects of computability theory. |
elementary algebra | Physics | 1 | a fundamental form of algebra extending on elementary arithmetic to include the concept of variables. |
elementary arithmetic | Physics | 1 | the simplified portion of arithmetic considered necessary for primary education. It includes the usage addition, subtraction, multiplication and division of the natural numbers. It also includes the concept of fractions and negative numbers. |
elementary mathematics | Physics | 1 | parts of mathematics frequently taught at the primary and secondary school levels. This includes elementary arithmetic, geometry, probability and statistics, elementary algebra and trigonometry. (calculus is not usually considered a part) |
elementary group theory | Physics | 1 | the study of the basics of group theory |
elimination theory | Physics | 1 | the classical name for algorithmic approaches to eliminating between polynomials of several variables. It is a part of commutative algebra and algebraic geometry. |
elliptic geometry | Physics | 1 | a type of non-Euclidean geometry (it violates Euclid's parallel postulate) and is based on spherical geometry. It is constructed in elliptic space. |
enumerative combinatorics | Physics | 1 | an area of combinatorics that deals with the number of ways that certain patterns can be formed. |
enumerative geometry | Physics | 1 | a branch of algebraic geometry concerned with counting the number of solutions to geometric questions. This is usually done by means of intersection theory. |
epidemiology | Physics | 1 | a branch where problems are motivated by additive combinatorics and solved using ergodic theory. |
equivariant noncommutative algebraic geometry | Physics | 1 | a branch where problems are motivated by additive combinatorics and solved using ergodic theory. |
ergodic ramsey theory | Physics | 1 | a branch where problems are motivated by additive combinatorics and solved using ergodic theory. |
ergodic theory | Physics | 1 | the study of dynamical systems with an invariant measure, and related problems. |
euclidean geometry | Physics | 1 | An area of geometry based on the axiom system and synthetic methods of the ancient Greek mathematician Euclid. |
euclidean differential geometry | Physics | 1 | also known as classical differential geometry. See differential geometry. |
euler calculus | Physics | 1 | a methodology from applied algebraic topology and integral geometry that integrates constructible functions and more recently definable functions by integrating with respect to the Euler characteristic as a finitely-additive measure. |
experimental mathematics | Physics | 1 | an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns. |
exterior algebra | Physics | 1 | a branch of combinatorics, it is the study of the possible sizes of a collection of finite objects given certain restrictions. |
exterior calculus | Physics | 1 | a branch of combinatorics, it is the study of the possible sizes of a collection of finite objects given certain restrictions. |
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