منابع مشابه
Non-Archimedean Probabilities and Non-Archimedean Bayesian Networks
In the paper we consider non-Archimedean fuzziness and probabilities. The idea of non-Archimedean multiple-validities is that (1) the set of values for the vagueness and probability is uncountable infinite and (2) this set is not wellordered. For the first time the non-Archimedean logical multiple-validity was proposed in [13], [14]. We propose non-Archimedean fuzziness that is defined on an in...
متن کاملNon-archimedean gauge seminorms
Non-archimedean seminorms on rings and modules provide in general a structure which is richer than the associated linear topology [3], [2]. We want to characterize Banach spaces and commutative algebras over a complete non-trivially valued nonarchimedean field K, as linearly topologized modules over the ring of integers K◦ of K, with no reference to any specific norm. This is analog to the clas...
متن کاملNon-archimedean Hyperbolicity
A complex manifold X is said to be hyperbolic (in the sense of Brody) if every analytic map from the complex plane C to X is constant. From Picard’s “little” theorem, an entire function missing more than two values must be constant. It is equivalent to say that P \ {0, 1,∞} is hyperbolic. Picard’s theorem also show that a Riemann surface of genus one omitting one point and Riemann surfaces of g...
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 کاملNon-archimedean Metrics in Topology
We shall find the following necessary and sufficient conditions: I. the space is metrizable (cf. Nagata [l], Smirnof [2]), II. the space is strongly O-dimensional. Property II means that any two closed disjoint sets in the space can be separated (by the empty set). We shall prove furthermore that the conditions I and II are equivalent to the following topological properties: the space is a Haus...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1977
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-37-1-69-73