منابع مشابه
A Generalized Archimedean Property
We introduce and discuss a condition generalizing one of the Archimedean properties characterizing parabolas. Archimedes was familiar with the following property of parabolas: If for any two points A, B on a parabola we denote by S the area of the region between the parabola and the secant AB, and by T the maximum of the area of the triangle ABC, where C is a point on the parabola between A and...
متن کاملGlobal Newton Iteration over Archimedean and non-Archimedean Fields
In this paper, we study iterative methods on the coefficients of the rational univariate representation (RUR) of a given algebraic set, called global Newton iteration. We compare two natural approaches to define locally quadratically convergent iterations: the first one involves Newton iteration applied to the approximate roots individually and then interpolation to find the RUR of these approx...
متن کاملSolution and Generalized Ulam-Hyers Stability of a Reciprocal Type Functional Equation in Non-Archimedean Fields
In this paper, we obtain the general solution of a reciprocal type functional equation of the type
متن کاملOne-dimensional Optimization on Non-archimedean Fields
One dimensional optimization on non-Archimedean fields is presented. We derive first and second order necessary and sufficient optimality conditions. For first order optimization, these conditions are similar to the corresponding real ones; but this is not the case for higher order optimization. This is due to the total disconnectedness of the given non-Archimedean field in the order topology, ...
متن کاملSome Results on a Generalized Archimedean Family of Copulas
Durante et al. (2007) introduced a class of bivariate copulas depending on two generators which generalizes some known families such as the Archimedean copulas. In this paper we provide some result on properties of this family when the generators are certain univariate survival functions.
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1983
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093870226