formal derivative

formal derivative
мат. формальная производная

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

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  • Formal derivative — In mathematics, the formal derivative is an operation on elements of a polynomial ring which mimics the form of the derivative from calculus. Though they appear similar, the algebraic advantage of a formal derivative is that it does not rely on… …   Wikipedia

  • Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… …   Wikipedia

  • Derivative (disambiguation) — Derivative, in calculus, is a measurement of how a function changes when the values of its inputs change. Derivative may also refer to: Derivative (finance), a contract whose value is derived from that of other quantities Derivative (chemistry),… …   Wikipedia

  • Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… …   Wikipedia

  • Formal — The term formal has a number of uses, including:General*relating to formality *opposite of informalocial* Formal occasion ** Formal attire worn on such occasions ** Formals are particular meals at some British universities ** In Australian or… …   Wikipedia

  • Derivative of a constant — In calculus, the derivative of a constant function is zero (A constant function is one that does not depend on the independent variable, such as f(x) = 7). The rule can be justified in various ways. The derivative is the slope of the tangent to… …   Wikipedia

  • Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… …   Wikipedia

  • Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… …   Wikipedia

  • Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… …   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

  • Partial derivative — In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).… …   Wikipedia


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