Sasaki metric
Let M, G {\the style property display the value of M,G} be a Riemannian manifold, we denote by τ: t m → m {\the style property display set to \Tau \colon \mathrm {T} M\ \ M} in the tangent bundle over M {\the style property display the value of m ...
Vector bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X: at each point X of the space X we associate a vector space V in Such a way that these vector ...
Complex vector bundle
In mathematics, a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be regarded as a real vector bundle via restriction of scalars. Conversely, any real vector bundle E can be made into ...
Dual bundle
In mathematics, the dual bundle of a vector bundle π: e → X is a vector bundle π ∗ e ∗ → X whose fibers are the conjugate spaces in the fibers, i.e. a double set, you can use related set of works, taking the dual representation of the structure g ...
Flat vector bundle
Let π: E → X {\the style property display the value of \Pi:E\X} denote the flat vector bundle, and ∇ Γ x, e → Γ x, Ω 1 x ⊗ e {\the style property display set to \nabla:\gamma x,E\K X \gamma,\ omega _{x}^{1}\otimes E} be the covariant derivative a ...
Tautological bundle
In mathematics, the tautological bundle is a bundle going on for Grossman in a natural tautological way: the fiber of the bundle over a vector space V into itself. In the case of projective space, the package is called tautological line bundle. I ...
De Rham curve
In mathematics, a de Rham curve is a certain type of fractal curve named in honor of Georges de Rham. The Cantor function, cesàro curve, Minkowskis functions of a question mark, levy C curve, the blancmange curve and the Koch curve are all specia ...
Levy C curve
In mathematics, the lévy C curve is a selfreplicating fractal that was first described and differential properties of which were analysed by Ernesto cesàro in 1906 and Georg Faber in 1910, but now bears the name of French mathematician Paul levy ...
Multiplier algebra
In mathematics, the multiplier algebra, denoted by m C*algebra a is a unital C*algebra, which is the largest unital C*algebra which contains a as an ideal in "nondegenerate" way. It is the noncommutative generalization of stone–Cech compactif ...
Approximately finitedimensional C*algebra
In mathematics, approximately finitedimensional C*algebra is a C*algebra that is the inductive limit of a sequence of finitedimensional C*algebras. Approximate finitedimensionality was first defined and described combinatorial OLA Bratteli. ...
Bunce–Deddens algebra
In mathematics, Bunce–Deddens algebra, named in honor of John W. Bunce and James A. Deddens, is a specific type of direct limit of matrix algebras over the continuous functions on the circle. Therefore, they are examples of simple unital at algeb ...
Completely positive map
In mathematics, a positive map is a map between C*algebras that sends positive elements to positive elements. Absolutely positive the card is one that satisfies more durable and steady state.
Cuntz algebra
In mathematics, the Cuntz algebra o n {\the style property display the value of {\mathcal {o}}_{n}}, is named after Joachim Cuntz, is the universal C*algebra generated by N isometries satisfying certain relations. In the Cuntz algebra introduced ...
Exact C*algebra
C*algebra e precisely if for any short exact sequence, 0 → A → f B → g C → 0 {\displaystyle 0\,{\xrightarrow {}}\,A\,{\xrightarrow {f}}\,B\,{\xrightarrow {g}}\,C\,{\xrightarrow {}}\,0} the sequence 0 → A ⊗ min E → f ⊗ id B ⊗ min E → g ⊗ id C ⊗ m ...
Hereditary C*subalgebra
In mathematics, a hereditary C*subalgebra of the C*algebra of a particular type with a*is the subalgebra whose structure is closely linked to a larger C*algebra. C*subalgebra a of B is a hereditary C*subalgebra if for all A ∈ A and B ∈ B, su ...
Kgraph C*algebra
In mathematics, a Kgraph is a countable category Λ {\the style property display set to \type } with the domain and codomain of the map R {\the style property display the value of R} and S {\the style property display value}, together with a func ...
Kadison–Kastler metric
In mathematics, Kadisha Brosses metric is a metric on the space of C * algebras on a fixed Hilbert space. This is the Hausdorff distance between the unit balls of two C * algebras, in accordance with the norm induced by the metric on the space ...
Nuclear C*algebra
In Mathematics, a nuclear C*algebra is a C*algebra a such that the injective and projective C*cross norms on a ⊗ B are the same for any C*algebra B. This property was first studied by takesaki called "the Hotel", which has nothing to Kazhdans ...
Toeplitz algebra
In operator algebras, in algebra, the greenhouse is a C*algebra generated by the unilateral transfer on the Hilbert space L 2. Taking L 2 for the hardy space H 2, then Toeplitz algebra consists of elements of the form T f + K {\displaystyle T_{f ...
Uniformly hyperfinite algebra
In mathematics, especially in the theory of C*algebras, uniformly giperkineza, or UHF, algebra is a C*algebra that can be written as the closure in the norm topology, the increasing Union of finitedimensional full matrix algebras.
Universal C*algebra
In mathematics, the universal C*algebra is a C*algebra to describe in terms of generators and relations. Unlike rings or algebras which can be viewed free private rings to create generic objects with*algebras should be realizable as algebras o ...
Category of elements
In category theory, if c is a category and F: S → E T {\the style property display value F:C\to \mathbf {set} } is a multivalued functor, the category of elements of f E L {\the style property display set to \mathop {\RM {El}} }  a category d ...
Density theorem (category theory)
In category theory, branch of mathematics, the density theorem says that every presheaf of sets is a colimit of representable presheaves in a canonical way. For example, by definition, complex is a simplicial presheaf on the simplex category Δ, a ...
Generalized function
In mathematics, generalized functions, or distributions, are objects, extends the concept of a function. There is more than one recognized theory. Generalized functions are especially useful in making discontinuous functions more like smooth func ...
Boehmians
In mathematics, Boehmians are objects obtained by an abstract algebraic construction of the "private series".The original design was dictated by the regular operators introduced K. T. Boehme. Regular operators are a subclass of operators Mikusins ...
Multiscale Greens function
The multiscale function of the green is a generalized and extended version of the classical technique, the function of Herbs to solve mathematical equations. The main application of the method MSGF is a simulation of nanomaterials. These material ...
Singularity function
Singularity functions are a class of discontinuous functions that contain singularities, i.e. they are continuous in their particular points. Function singularity is actively studied in the field of mathematics under the alternative names of gene ...
White noise analysis
In probability theory, the mathematics of white noise analysis is the basis for the infinite dimensional and stochastic calculus, based on the Gaussian white noise probability space, in comparison with the Malliavin calculus based on the Wiener p ...
Local inverse
Local reverse view of the inverse function or the inverse matrix is used in processing images and signals, as well as other General areas of mathematics. The concept of local back out of the reconstruction of the interior of the image of KT. One ...
Superrigidity
In mathematics, in the theory of discrete groups, superrigidity is a concept designed to show how a linear representation ρ of a discrete group Γ of an algebraic group G may, in some circumstances, can be as good as the view itself, as this pheno ...
Weightofconflict conjecture
The weight of the conflict hypothesis was proposed by Glenn Shafer in his book on the Dempster–Shafer called the mathematical theory of evidence. It says that if Q 1 {\the style property display the value of Q_{1}} and q 2 {\the style property di ...
Conditional dependence
In probability theory, conditional dependence is a relationship between two or more events that depend upon the occurrence of the third event. For example, if A and B are two events that individually increase the likelihood of a third event C, an ...
Subindependence
In probability theory and statistics, subindependence is a weak form of independence. Two random variables X and y are referred to as subindependent if the characteristic function of their sum is equal to the product of their marginal characteris ...
Polya urn model
In statistics, a model of the urn field, named in honor of George Polya, this type of statistical model used as an idealized mental exercise structure, unifying many treatments. In the model box, the objects of real interest are represented as co ...
Dunford–Pettis property
In functional analysis, the Dunford–Pettis property, named after Nelson Dunford and George. b. Pettis is a Banach space property that all weakly compact operators from this space to another Banach space is completely continuous. Many of the stand ...
Infinitedimensional holomorphy
In mathematics, infinitedimensional of holomorphes is a branch of functional analysis. This is due to the generalization of the notion of holomorphic functions in the given functions and taking values in complex Banach spaces, usually of infinit ...
List of Banach spaces
In the mathematical field of functional analysis, Banach spaces are one of the most important objects of study. In other areas of mathematical analysis, most of the places that arise in practice, are Banach spaces as well.
Lorentz space
In mathematical analysis, Lorentz spaces, introduced by George G. Lorentz in the 1950s, the years are generalizations of the more familiar L R {\the style property display the value of L^{P}} spaces. The Lorentz spaces are denoted by L P, Q {\the ...
Lp sum
In mathematics, particularly in functional analysis, L P the sum of a family of Banach spaces is a way of turning a subset of the product Set of the family members in a Banach space in its own right. Construction is due to the classical L P space.
Method of continuity
In mathematics, Banach spaces, the method of continuity provides sufficient conditions for deducing the invertibility of one of the restricted linear operator from another associated operator.
Opial property
In mathematics, the Opial property is an abstract property of Banach spaces that plays an important role in the study of weak convergence of iterations of mappings of Banach spaces, asymptotic behavior of nonlinear semigroups. The hotel is named ...
Polynomially reflexive space
Polynomials in mathematics, a reflexive space is a Banach space X, where the space of all polynomials in each degree is a reflexive space. Given a multilinear functional M N of degree n, i.e. M n nlinear, we can define a polynomial P as p x = M ...
Schauder basis
In mathematics, a Schauder basis or countable basis is similar to the usual basis of the vector space, the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums. This makes ...
Tsirelson space
In mathematics, especially functional analysis, the Tsirelson space is the first example of Banach spaces containing l P space nor a 0 space can be embedded. In Tsirelson space is reflexive. It was introduced by B. S. Tsirelson in 1974. In the sa ...
Abel equation of the first kind
In mathematics, Abels equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. In other words, this equation of the form y ′ = f 3 x y 3 + f 2 x y 2 + f 1 x y + f 0 x ...
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Bernoulli differential equation 
Burchnall–Chaundy theory 
Cauchy–Euler equation 
Characteristic equation (calculus) 
Characteristic multiplier 
Chebyshev equation 
Clairauts equation 
Exact differential equation 
Frobenius method 
Ince equation 
Inseparable differential equation 

Integrating factor 

Isocline 
Isomonodromic deformation 
List of nonlinear ordinary differenti .. 
Matrix differential equation 
Meissner equation 

Method of undetermined coefficients 

PECE 

Phase line (mathematics) 
Power series solution of differential .. 

Reduction of order 
Riccati equation 
Variation of parameters 

Girsanov theorem 
Infinitesimal generator (stochastic p .. 
Ito diffusion 
Kolmogorov backward equations (diffus .. 
Meanreverting process 
Ornstein–Uhlenbeck process 

Telegraph process 
Biharmonic equation 
Schauder estimates 

Signature operator 

Hyperbolic partial differential equation 

Petrovsky lacuna 
Chafee–Infante equation 
DoddBulloughMikhailov equation 
Gibbons–Tsarev equation 
HirotaSatsuma equation 
Tzitzeica equation 

Parabolic partial differential equation 

Exponential decay 

Half time (physics) 

Stretched exponential function 
Cosecans hyperbolicus 
Cosech 
Cosh (mathematical function) 
Cosinus hyperbolicus 
Cotangens hyperbolicus 
Coth 
Csch 
Hyberbolic cosecant 
Hyberbolic cosine 
Hyberbolic cotangent 
Hyberbolic secant 
Hyberbolic sine 
Hyberbolic tangent 
Secans hyperbolicus 
Sech (function) 
Sinh (mathematical function) 
Sinus hyperbolicus 
Tangens hyperbolicus 
Tanh 
Inverse hyperbolic functions 
Antihyperbolic function 
Arcosech 
Arcosh 
Arcoth 
Arcsch 
Area cosecans hyperbolicus 
Area cosinus hyperbolicus 
Area cotangens hyperbolicus 
Area hyperbolic cosecant 
Area hyperbolic cosine 
Area hyperbolic cotangent 
Area hyperbolic secant 
Area hyperbolic sine 
Area hyperbolic tangent 
Area secans hyperbolicus 
Area sinus hyperbolicus 
Area tangens hyperbolicus 
Arsech 
Arsinh 
Artanh 
Inverse hyperbolic cosecant 
Inverse hyperbolic cosine 
Inverse hyperbolic cotangent 
Inverse hyperbolic secant 
Inverse hyperbolic sine 
Inverse hyperbolic tangent 
Base2 logarithm 
Base10 logarithm 
Basee logarithm 
Briggsian logarithm 

Logarithmus generalis 
Decadic logarithm 
Decimal logarithm 
Dyadic logarithm 

Gaussian logarithm 
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