Results 241 to 250 of about 3,595,874 (291)

Numerical differentiation by integration

Mathematics of Computation, 2013
While there are various methods which have been developed for numerical differentiation, the estimation of the derivative of a function is often problematic when one has only noisy values of the function itself. In this instance it is important to employ a method which is able to calculate \(f'(x)\) in a stable manner. This article specifically focuses
Xiaowei Huang 0003, Chuansheng Wu, Jun Zhou   +2 more
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On the integration of differential fractions

Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, 2013
In this paper, we provide a differential algebra algorithm for integrating fractions of differential polynomials. It is not restricted to differential fractions that are the derivatives of other differential fractions. The algorithm leads to new techniques for representing differential fractions, which may help converting differential equations to ...
François Boulier, François Lemaire, Georg Regensburger, Markus Rosenkranz   +3 more
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Differentiation and Integration

The Psychoanalytic Study of the Child, 1996
The purpose of this paper is to propose a clinical approach to coordinating the psychoanalytic process with the developmental process in treating children. The paper is constructed as a dialogue between the spirit of Anna Freud and myself; a vignette brings together the principal traditional features Ms.
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A Demoicratic Justification of Differentiated Integration in a Heterogeneous EU [PDF]

Journal of European Integration, 2017
This is the author accepted manuscript. The final version is available from Taylor & Francis via the DOI in this record.Earlier scholarship assumed differentiated integration (DI) was pragmatic and temporary and that member states should and would ...
Sandra Kröger, Richard Bellamy
exaly   +2 more sources

integration and differentiation

1994
The evaluation of integrals in elementary calculus is accomplished by the Fundamental Theorem of Calculus, which can be stated as follows: Let \(F(t)\) be a function for which the derivative \(F^{\prime}(t)\) exists and is a continuous function for t in the interval \(\{a \leq t \leq b\}.\)
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Differentiation und Integration

1988
Das Tangentenproblem bildet aus historischer Sicht einen Ausgangspunkt der Differentialrechnung. Wir sind darauf bereits im Abschnitt 4.3.3 eingegangen und haben den Differentialquotienten geometrisch als Tangentenanstieg deuten konnen. Um fur eine Funktion f den Anstieg der Tangente in einem Punkt P = (x0, f (x0)) des Funktionsgraphen zu erhalten ...
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Differentiation and integration

2000
Abstract The problems discussed in this chapter are very closely related to the problems of interpolation. Data are presented to us, either as a discrete tabulation of some function, or as the result of observation, and it is required that these data be approximately differentiated or integrated.
Jürgen Gerhard, Walter Oevel, Frank Postel, Stefan Wehmeier   +3 more
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Differentiation and Integration

2009
In this chapter, we examine the mathematical foundations of differentiation and integration. The theorems of this chapter are useful not only to make calculus work but also for studying functions in many other contexts.We do not spend any time on the important applications that typically appear in courses devoted to calculus, such as optimization ...
Kenneth R. Davidson, Allan P. Donsig
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Differentiation and Integration

2021
Let \(f\in AA(\mathbb X)\) and suppose that its derivative f′ exists and is uniformly continuous on \(\mathbb R\). Then \(f'\in AA(\mathbb X)\).
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Stochastic Integrals and Differential Measures

Theory of Probability & Its Applications, 1988
The description of the class of measures with square integrable logarithmic derivative along a vector field and an operator field is obtained. This derivative coincides with an extended stochastic integral in the Gaussian case. The proofs are based on integration by parts.
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