Measure fields for function approximation
نویسندگان
چکیده
منابع مشابه
Approximation Exponents for Function Fields
For diophantine approximation of algebraic real numbers by rationals, Roth’s celebrated theorem settles the issue of the approximation exponent completely in the number field case. But in spite of strong analogies between number fields and function fields, its naive analogue fails in function fields of finite characteristic, and the situation is not even conjecturally understood. In this short ...
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— We prove that rationally connected varieties over the function field of a complex curve satisfy weak approximation for places of good reduction.
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A central problem in number theory and algebraic geometry is the determination of the size of the group of rational points on the Jacobian of an algebraic curve over a finite field. This question also has applications to cryptography, since cryptographic systems based on algebraic curves generally require a Jacobian of non-smooth order in order to foil certain types of attacks. There a variety ...
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To measure the quality of a set of vector quantization points a means of measuring the distance between a random point and its quantization is required. Common metrics such as the Hamming and Euclidean metrics, while mathematically simple, are inappropriate for comparing natural signals such as speech or images. In this paper it is shown how an environment of functions on an input space X induc...
متن کاملWEAK APPROXIMATION FOR TORI OVER p-ADIC FUNCTION FIELDS
We study local-global questions for Galois cohomology over the function field of a curve defined over a p-adic field, the main focus being weak approximation of rational points. We construct a 9-term Poitou–Tate type exact sequence for tori over a field as above (and also a 12-term sequence for finite modules). Like in the number field case, part of the sequence can then be used to analyze the ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Neural Networks
سال: 1995
ISSN: 1045-9227
DOI: 10.1109/72.410353