- invariant derivative
- мат.инвариантная производная
English-Russian scientific dictionary. 2008.
invariant derivative
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Invariant factorization of LPDOs — IntroductionFactorization of linear ordinary differential operators (LODOs) is known to be unique and in general, it finally reduces to the solution of a Riccati equation [http://en.wikipedia.org/wiki/Riccati equation] , i.e. factorization of… … Wikipedia
Logarithmic derivative — In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where f ′ is the derivative of f. When f is a function f(x) of a real variable x, and takes real, strictly… … Wikipedia
Differential invariant — In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and… … Wikipedia
Exterior derivative — In differential geometry, the exterior derivative extends the concept of the differential of a function, which is a form of degree zero, to differential forms of higher degree. Its current form was invented by Élie Cartan.The exterior derivative… … Wikipedia
Quasi-invariant measure — In mathematics, a quasi invariant measure mu; with respect to a transformation T , from a measure space X to itself, is a measure which, roughly speaking, is multiplied by a numerical function by T . An important class of examples occurs when X… … Wikipedia
Laplace invariant — In differential equations, the Laplace invariant of any of certain differential operators is a certain function of the coefficients and their derivatives. Consider a bivariate hyperbolic differential operator of the second order:partial x ,… … Wikipedia
Scale-invariant feature transform — Feature detection Output of a typical corner detection algorithm … Wikipedia
Adiabatic invariant — An adiabatic invariant is a property of a physical system which stays constant when changes are made slowly.In thermodynamics, an adiabatic process is a change that occurs without heat flow and slowly compared to the time to reach equilibrium. In … Wikipedia
Gauge covariant derivative — The gauge covariant derivative (pronEng|ˌgeɪdʒ koʊˌvɛəriənt dɪˈrɪvətɪv) is like a generalization of the covariant derivative used in general relativity. If a theory has gauge transformations, it means that some physical properties of certain… … Wikipedia
Darboux derivative — The Darboux derivative of a map between a manifold and a Lie group is a variant of the standard derivative. In a certain sense, it is arguably a more natural generalization of the single variable derivative. It allows a generalization of the… … Wikipedia
Schwarzian derivative — In mathematics, the Schwarzian derivative is a certain operator that is invariant under all linear fractional transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and… … Wikipedia
