sufficiently differentiable

sufficiently differentiable
вполне дифференцируемый

Большой англо-русский и русско-английский словарь. 2001.

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  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

  • Taylor's theorem — In calculus, Taylor s theorem gives a sequence of approximations of a differentiable function around a given point by polynomials (the Taylor polynomials of that function) whose coefficients depend only on the derivatives of the function at that… …   Wikipedia

  • Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… …   Wikipedia

  • Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

  • General covariance — In theoretical physics, general covariance (also known as diffeomorphism covariance or general invariance) is the invariance of the form of physical laws under arbitrary differentiable coordinate transformations. The essential idea is that… …   Wikipedia

  • Higher-order derivative test — In mathematics, the higher order derivative test is used to find maxima, minima, and points of inflexion for sufficiently differentiable functions. The test Let ƒ be a differentiable function on the interval I and let c be a point on it such that …   Wikipedia

  • Numerical integration — consists of finding numerical approximations for the value S In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also… …   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

  • Examples of vector spaces — This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation . We will let F denote an arbitrary field such as the real numbers R or the complex numbers C.… …   Wikipedia

  • Taylor expansions for the moments of functions of random variables — In probability theory, it is possible to approximate the moments of a function f of a random variable X using Taylor expansions, provided that f is sufficiently differentiable and that the moments of X are finite. This technique is often used by… …   Wikipedia

  • Shift theorem — In mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators ( D operators) and exponential functions. It permits one to eliminate, in certain cases, the exponential from under the D operators. The theorem… …   Wikipedia


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