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On certain sets of sequences

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Complementary sets of sequences

IEEE Transactions on Information Theory, 1972
Let \(\{A_i,\ 1\le i \le p\}\) be a set of finite length sequences of \(\pm 1\). It is called a complementary set of sequences if the pointwise sum of their autocorrelation functions is zero, except at the origin. A second complementary set \(\{B_i,\ 1\le i \le p\}\) is said to be a mate of the first if the sum of the cross correlation functions, is ...
Tseng, C.-C., Liu, C. L.
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GAP SEQUENCES OF GRAPH-DIRECTED SETS

Fractals, 2016
This paper studies the gap sequences of graph-directed sets satisfying the strong separation condition. An interesting application is to investigate the gap sequences of self-similar sets with overlaps.
Deng, Juan, Xi, Lifeng
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New construction of perfect sequence set and low correlation zone sequence set

Science China Information Sciences, 2013
For a given binary ideal autocorrelation sequence, we construct a perfect sequence set by changing a few bits of the sequence. The set has a large size with respect to the period of its sequences. Based on the constructed perfect sequence set, a new class of low correlation zone sequence sets whose low correlation zone length can be chosen flexibly is ...
Hai Xiong, LongJiang Qu, Chao Li
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EQUALITY SETS OF MORPHIC WORD SEQUENCES

International Journal of Foundations of Computer Science, 2012
We study equality sets of mappings. In particular, we study D0L equality sets. If s = (s(n))n≥0 and t = (t(n))n≥0 are D0L sequences, their equality set is defined by E(s,t) = {n ≥ 0 ∣ s(n) = t(n)}. We study various periodicity and decidability questions concerning these sets. We also study HD0L and DT0L equality sets.
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Convergence Formulas for Sequences of Sets

Canadian Journal of Mathematics, 1975
This paper is concerned with the convergence of sequences of subsets of a topological space, as defined by F. Hausdorff [6]. Such a sequence converges if and only if its limit inferior equals its limit superior, where its limit inferior (respectively, superior) is that set each of whose elements satisfies the condition that each of its neighborhoods ...
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SEQUENCES OF RANDOM FUZZY SETS

International Journal of General Systems, 1991
This paper summarizes some results for fuzzy set-valued random variables introduced by Puri and Ralescu.8 Special attention is devoted to their limit properties. The Radon-Nikodym theorem for fuzzy-valued measures is presented as well.
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Gap sequences of Barański sets

Journal of Mathematical Analysis and Applications
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Liang, Zhen, Miao, Jun Jie, Ruan, Huo-Jun   +2 more
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