Übersetzung für 'differentiable function' von Englisch nach Deutsch

differentiable function

differenzierbare Funktion {f}math.

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differentiable {adj}

unterscheidbar

differenzierbarmath.

Werbung

continuously differentiable {adj}

stetig differenzierbarmath.

partial differentiable {adj}

partiell differenzierbarmath.

differentiable manifold

differenzierbare Mannigfaltigkeit {f}math.

differentiable structure

differenzierbare Struktur {f}math.

n times differentiable {adj}

n-mal differenzierbarmath.

differentiable from below {adj}

linksseitig differenzierbarmath.

differentiable from above {adj}

rechtsseitig differenzierbarmath.

differentiable from the right {adj}

rechtsseitig differenzierbarmath.

differentiable from the left {adj}

linksseitig differenzierbarmath.

Dirac delta function <δ function>

Dirac-Impuls {m}engin.math.phys.

Einheitsimpulsfunktion {f}engin.math.phys.

Dirac-Stoß {m}engin.math.phys.

Stoßfunktion {f}engin.math.phys.

Delta-Distribution {f}engin.math.

Impulsfunktion {f}engin.math.phys.

Dirac'sche Deltafunktion {f} <δ-Funktion>electr.math.

Dirac-Puls {m}engin.math.phys.

Dirac (delta) function <δ function>

Dirac-Funktion {f} <δ-Funktion>electr.math.

• In mathematics, gradient descent (also often called steepest descent) is a iterative optimization algorithm for finding a local minimum of a differentiable function.
• The derivative of a real differentiable function is a real function.
• For example, a differentiable manifold is a manifold where the change of coordinates from one coordinate map to another is always a differentiable function.
• One of these, Itō's lemma, expresses the composite of an Itō process (or more generally a semimartingale) "dX't" with a twice-differentiable function "f".
• As a differentiable function of a complex variable is equal to its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions).

• In calculus, Taylor's theorem gives an approximation of a "k"-times differentiable function around a given point by a polynomial of degree "k", called the "k"th-order Taylor polynomial.
• By Fermat's theorem, all local maxima and minima of a differentiable function occur at critical points.
• More generally, every sequence of real or complex numbers can appear as coefficients in the Taylor series of an infinitely differentiable function defined on the real line, a consequence of Borel's lemma.
• An important example in calculus is Taylor's theorem, which roughly states that every differentiable function locally looks like a polynomial function, and the Stone–Weierstrass theorem, which states that every continuous function defined on a compact interval of the real axis can be approximated on the whole interval as closely as desired by a polynomial function.
• The basic way to maximize a differentiable function is to find the stationary points (the points where the derivative is zero); since the derivative of a sum is just the sum of the derivatives, but the derivative of a product requires the product rule, it is easier to compute the stationary points of the log-likelihood of independent events than for the likelihood of independent events.

• Any differentiable function may be used for [...]. The examples that follow use a variety of elementary functions; special functions may also be used.
• Because a differentiable functional is stationary at its local extrema, the Euler–Lagrange equation is useful for solving optimization problems in which, given some functional, one seeks the function minimizing or maximizing it.