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representation theory of the lorentz group | Physics | 1 | a branch of topology studying ribbons. |
representation theory of the poincaré group | Physics | 1 | a branch of topology studying ribbons. |
representation theory of the symmetric group | Physics | 1 | a branch of topology studying ribbons. |
ribbon theory | Physics | 1 | a branch of topology studying ribbons. |
ricci calculus | Physics | 1 | Also called absolute differential calculus. A foundation of tensor calculus, developed by Gregorio Ricci-Curbastro in 1887–1896, and later developed for its applications to general relativity and differential geometry. |
ring theory | Physics | 1 | a branch of differential geometry that is more specifically, the study of Riemannian manifolds. It is named after Bernhard Riemann and it features many generalizations of concepts from Euclidean geometry, analysis and calculus. |
riemannian geometry | Physics | 1 | a branch of differential geometry that is more specifically, the study of Riemannian manifolds. It is named after Bernhard Riemann and it features many generalizations of concepts from Euclidean geometry, analysis and calculus. |
rough set theory | Physics | 1 | the a form of set theory based on rough sets. |
sampling theory | Physics | 1 | the study of schemes introduced by Alexander Grothendieck. It allows the use of sheaf theory to study algebraic varieties and is considered the central part of modern algebraic geometry. |
scheme theory | Physics | 1 | the study of schemes introduced by Alexander Grothendieck. It allows the use of sheaf theory to study algebraic varieties and is considered the central part of modern algebraic geometry. |
secondary calculus | Physics | 1 | a part of algebraic geometry; more specifically a branch of real algebraic geometry that studies semialgebraic sets. |
semialgebraic geometry | Physics | 1 | a part of algebraic geometry; more specifically a branch of real algebraic geometry that studies semialgebraic sets. |
set-theoretic topology | Physics | 1 | The study of sheaves, which connect local and global properties of geometric objects. |
set theory | Physics | 1 | The study of sheaves, which connect local and global properties of geometric objects. |
sheaf theory | Physics | 1 | The study of sheaves, which connect local and global properties of geometric objects. |
sheaf cohomology | Physics | 1 | deals with the properties and classifications of single operators. |
sieve theory | Physics | 1 | deals with the properties and classifications of single operators. |
single operator theory | Physics | 1 | deals with the properties and classifications of single operators. |
singularity theory | Physics | 1 | a branch, notably of geometry; that studies the failure of manifold structure. |
smooth infinitesimal analysis | Physics | 1 | a rigorous reformation of infinitesimal calculus employing methods of category theory. As a theory, it is a subset of synthetic differential geometry. |
solid geometry | Physics | 1 | a field that concerns the relationships between geometric structures of manifolds and spectra of canonically defined differential operators. |
spatial geometry | Physics | 1 | a field that concerns the relationships between geometric structures of manifolds and spectra of canonically defined differential operators. |
spectral geometry | Physics | 1 | a field that concerns the relationships between geometric structures of manifolds and spectra of canonically defined differential operators. |
spectral graph theory | Physics | 1 | the study of properties of a graph using methods from matrix theory. |
spectral theory | Physics | 1 | part of operator theory extending the concepts of eigenvalues and eigenvectors from linear algebra and matrix theory. |
spectral theory of ordinary differential equations | Physics | 1 | part of spectral theory concerned with the spectrum and eigenfunction expansion associated with linear ordinary differential equations. |
spectrum continuation analysis | Physics | 1 | generalizes the concept of a Fourier series to non-periodic functions. |
spherical geometry | Physics | 1 | a branch of non-Euclidean geometry, studying the 2-dimensional surface of a sphere. |
spherical trigonometry | Physics | 1 | a branch of spherical geometry that studies polygons on the surface of a sphere. Usually the polygons are triangles. |
statistical mechanics | Physics | 1 | although the term may refer to the more general study of statistics, the term is used in mathematics to refer to the mathematical study of statistics and related fields. This includes probability theory. |
statistical modelling | Physics | 1 | although the term may refer to the more general study of statistics, the term is used in mathematics to refer to the mathematical study of statistics and related fields. This includes probability theory. |
statistical theory | Physics | 1 | although the term may refer to the more general study of statistics, the term is used in mathematics to refer to the mathematical study of statistics and related fields. This includes probability theory. |
statistics | Physics | 1 | although the term may refer to the more general study of statistics, the term is used in mathematics to refer to the mathematical study of statistics and related fields. This includes probability theory. |
steganography | Physics | 1 | the study of random patterns of points |
stochastic calculus | Physics | 1 | the study of random patterns of points |
stochastic calculus of variations | Physics | 1 | the study of random patterns of points |
stochastic geometry | Physics | 1 | the study of random patterns of points |
stochastic process | Physics | 1 | a part of geometric topology referring to methods used to produce one manifold from another (in a controlled way.) |
stratified morse theory | Physics | 1 | a part of geometric topology referring to methods used to produce one manifold from another (in a controlled way.) |
super linear algebra | Physics | 1 | a part of geometric topology referring to methods used to produce one manifold from another (in a controlled way.) |
surgery theory | Physics | 1 | a part of geometric topology referring to methods used to produce one manifold from another (in a controlled way.) |
survey sampling | Physics | 1 | also known as algebraic computation and computer algebra. It refers to the techniques used to manipulate mathematical expressions and equations in symbolic form as opposed to manipulating them by the numerical quantities represented by them. |
survey methodology | Physics | 1 | also known as algebraic computation and computer algebra. It refers to the techniques used to manipulate mathematical expressions and equations in symbolic form as opposed to manipulating them by the numerical quantities represented by them. |
symbolic computation | Physics | 1 | also known as algebraic computation and computer algebra. It refers to the techniques used to manipulate mathematical expressions and equations in symbolic form as opposed to manipulating them by the numerical quantities represented by them. |
symbolic dynamics | Physics | 1 | a branch of differential geometry and topology whose main object of study is the symplectic manifold. |
symplectic geometry | Physics | 1 | a branch of differential geometry and topology whose main object of study is the symplectic manifold. |
symplectic topology | Physics | 1 | a reformulation of differential geometry in the language of topos theory and in the context of an intuitionistic logic. |
synthetic differential geometry | Physics | 1 | a reformulation of differential geometry in the language of topos theory and in the context of an intuitionistic logic. |
synthetic geometry | Physics | 1 | also known as axiomatic geometry, it is a branch of geometry that uses axioms and logical arguments to draw conclusions as opposed to analytic and algebraic methods. |
systolic geometry | Physics | 1 | a branch of differential geometry studying systolic invariants of manifolds and polyhedra. |
systolic hyperbolic geometry | Physics | 1 | the study of systoles in hyperbolic geometry. |
tensor algebra, tensor analysis, tensor calculus, tensor theory | Physics | 1 | the study and use of tensors, which are generalizations of vectors. A tensor algebra is also an algebraic structure that is used in the formal definition of tensors. |
tessellation | Physics | 1 | when periodic tiling has a repeating pattern. |
theoretical physics | Physics | 1 | a branch primarily of the science physics that uses mathematical models and abstraction of physics to rationalize and predict phenomena. |
theory of computation | Physics | 1 | the application of methods from algebraic topology to solve problems in combinatorics. |
time-scale calculus | Physics | 1 | the application of methods from algebraic topology to solve problems in combinatorics. |
topology | Physics | 1 | the application of methods from algebraic topology to solve problems in combinatorics. |
topological combinatorics | Physics | 1 | the application of methods from algebraic topology to solve problems in combinatorics. |
topological degree theory | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
topological graph theory | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
topological k-theory | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
topos theory | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
toric geometry | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
transcendental number theory | Physics | 1 | a branch of number theory that revolves around the transcendental numbers. |
transformation geometry | Physics | 1 | the study of triangles and the relationships between the length of their sides, and the angles between them. It is essential to many parts of applied mathematics. |
trigonometry | Physics | 1 | the study of triangles and the relationships between the length of their sides, and the angles between them. It is essential to many parts of applied mathematics. |
tropical analysis | Physics | 1 | see idempotent analysis |
tropical geometry | Physics | 1 | a variation on K-theory, spanning abstract algebra, algebraic topology and operator theory. |
twisted k-theory | Physics | 1 | a variation on K-theory, spanning abstract algebra, algebraic topology and operator theory. |
umbral calculus | Physics | 1 | the study of Sheffer sequences |
uncertainty theory | Physics | 1 | a new branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. |
universal algebra | Physics | 1 | a field studying the formalization of algebraic structures itself. |
universal hyperbolic trigonometry | Physics | 1 | an approach to hyperbolic trigonometry based on rational geometry. |
valuation theory | Physics | 1 | a part of linear algebra concerned with the operations of vector addition and scalar multiplication, although it may also refer to vector operations of vector calculus, including the dot and cross product. In this case it can be contrasted with geometric algebra which generalizes into higher dimensions. |
variational analysis | Physics | 1 | a part of linear algebra concerned with the operations of vector addition and scalar multiplication, although it may also refer to vector operations of vector calculus, including the dot and cross product. In this case it can be contrasted with geometric algebra which generalizes into higher dimensions. |
vector algebra | Physics | 1 | a part of linear algebra concerned with the operations of vector addition and scalar multiplication, although it may also refer to vector operations of vector calculus, including the dot and cross product. In this case it can be contrasted with geometric algebra which generalizes into higher dimensions. |
vector analysis | Physics | 1 | also known as vector calculus, see vector calculus. |
vector calculus | Physics | 1 | a branch of multivariable calculus concerned with differentiation and integration of vector fields. Primarily it is concerned with 3-dimensional Euclidean space. |
acceleration | Physics | 1 | The rate of change of velocity with respect to time. |
entropy | Physics | 1 | A measure of the disorder or randomness in a system, often associated with the second law of thermodynamics. |
quantum mechanics | Physics | 1 | A branch of physics that deals with phenomena at very small scales, such as atomic and subatomic particles. |
inertia | Physics | 1 | The resistance of an object to a change in its state of motion or rest. |
gravitational force | Physics | 1 | The attractive force between two masses due to gravity. |
wavelength | Physics | 1 | The distance between one peak or crest of a wave of light, heat, or otherenergy and the next peak or crest. |
kinetic energy | Physics | 1 | The energy an object possesses due to its motion. |
electric current | Physics | 1 | The flow of electric charge through a conductor. |
thermodynamics | Physics | 1 | The branch of physics dealing with heat, work, and energy transfer. |
magnetism | Physics | 1 | The force exerted by magnets when they attract or repel each other. |
work | Physics | 1 | The transfer of energy through motion, defined as the force applied over a distance. |
momentum | Physics | 1 | The product of an object's mass and velocity. |
refraction | Physics | 1 | The bending of light as it passes from one medium to another with a different density. |
doppler effect | Physics | 1 | The change in frequency or wavelength of a wave as observed by someone moving relative to the source. |
superposition principle | Physics | 1 | A fundamental principle in quantum mechanics stating that a physical system can exist in multiple states simultaneously until measured. |
capacitance | Physics | 1 | The ability of a system to store an electric charge. |
friction | Physics | 1 | The force that resists the motion of objects sliding or rolling over one another. |
buoyancy | Physics | 1 | The upward force exerted on an object submerged in a fluid. |
gravity | Physics | 1 | Theforceby which a planet or other body draws objects toward its center. |
photon | Physics | 1 | A quantum of light or electromagnetic radiation, which behaves as both a wave and a particle. |
relativity | Physics | 1 | The theory, developed by Einstein, which explains the relationship between space and time and their connection to gravity. |
elasticity | Physics | 1 | The property of a material to return to its original shape after deformation. |
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