منابع مشابه
Weak Bases and Metrization
Several weak base (in the sense of A. V. Arhangel'skiT) metrization theorems are established, including a weak base generalization of the Nagata-Smirnov Metrization Theorem.
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Introduction: The Nagata-Smirnov Metrization theorem gives a full characterization of metrizable topological spaces. In other words, the theorem describes the necessary and sufficient conditions for a topology on a space to be defined using some metric. As a motivational example, consider the discrete topology on some space (every subset of the space is open). Though it might not be apparent to...
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We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming metric is universal. keywords: Coding Theory;...
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3 E-functions 11 3.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 Ring structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.3 Transcendence results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.4 Y.André’s theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.5 Basic E-functions . . . . . . . ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2005
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700015585