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Naming Differences in Divided Germany
This article analyzes differences in naming between East and West Germany. After World War II, Germany was split by the allied forces. Two Germanies emerged: the Federal Republic of Germany (FRG) and the German Democratic Republic (GDR).
Denis Huschka +2 more
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On existence of divided differences in linear spaces
Nonlinear mappings between linear or linear topological spaces are considered, and the existence of the divided differences is studied. For the case of the normed spaces, besides the existence, is also proved an analogical property with the case of ...
M. Balázs, G. Goldner
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Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.
Carl de Boor
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Divided differences of implicit functions [PDF]
Under general conditions, the equation g ( x , y ) = 0 g(x,y) = 0 implicitly defines y y locally as a function of x x . In this article, we express divided differences of y y in terms of bivariate divided differences of ...
Muntingh, Georg, Floater, Michael
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A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator [PDF]
In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that one element of this family has order
Alicia Cordero +3 more
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Not available.
M. Balázs
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ON HERMITE INTERPOLATION AND DIVIDED DIFFERENCES [PDF]
This paper is a survey of topics related to Hermite interpolation. In the first part we present the standard analysis of the Hermite interpolation problem. Existence, uniqueness and error formula are included.
François Dubeau
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On Modified Divided Differences II [PDF]
Gertrude Blanch
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Derivatives of Divided Differences [PDF]
S Ray
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An integral-free representation of the Dyson series using divided differences
The Dyson series is an infinite sum of multi-dimensional time-ordered integrals, which serves as a formal representation of the quantum time-evolution operator in the interaction-picture.
Amir Kalev, Itay Hen
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