منابع مشابه
Decoding Perfect Maps
Perfect Maps are two-dimensional arrays in which every possible sub-array of a certain size occurs exactly once. They are a generalisation of the de Bruijn sequences to two dimensions and are of practical significance in certain position location applications. In such applications the decoding problem, i.e. resolving the position of a particular sub-array within a specified Perfect Map, is of g...
متن کاملPerfect Measures and Maps
This paper is designed to provide a solid introduction to the theory of nonmeasurable calculus. In this context basic concepts are reviewed and fundamental facts are presented. Perfect measures and maps are shown to of a vital importance to support the theory, and therefore these concepts are treated separately as well. In particular, many equivalent statements to the property of being perfect ...
متن کاملContractive maps in Mustafa-Sims metric spaces
The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space.
متن کاملSuperstability of $m$-additive maps on complete non--Archimedean spaces
The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.
متن کاملStable Independence in Perfect Maps
With the aid of the concept of stable independence we can construct, in an efficient way, a compact representation of a semi-graphoid independence relation. We show that this representation provides a new necessary condition for the existence of a directed perfect map for the relation. The test for this condition is based to a large extent on the transitivity property of a special form of d-sep...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.2307/2039300