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Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Mathematics, 2021 We study the asymptotic behavior in a neighborhood of zero of the sum of a sine series g(b,x)=∑k=1∞bksinkx whose coefficients constitute a convex slowly varying sequence b.
Aleksei Solodov
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Fuzzy C means Based Evaluation Algorithms For Cancer Gene Expression Data Clustering
Iraqi Journal for Computer Science and Mathematics, 2022 The influx of data in bioinformatics is primarily in the form of DNA, RNA, and protein sequences. This condition places a significant burden on scientists and computers.
Omar Al-Janabee, Basad Al-Sarray
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A SUM CONCERNING SEQUENCES [PDF]
, 1994 One proves that if the trailing digit of a(n) is not zero for any n, then sum of a(n)/Rev Ca(n)) is ...
Le, Maohua
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A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
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ON THE INDEX-CONJECTURE ON LENGTH FOUR MINIMAL ZERO-SUM SEQUENCES [PDF]
International Journal of Number Theory, 2013 Let G be a finite cyclic group. Every sequence S over G can be written in the form S = (n1g)⋅…⋅(nlg) where g ∈ G and n1,…,nl ∈ [1, ord (g)], and the index ind (S) of S is defined to be the minimum of (n1 +⋯+ nl)/ ord (g) over all possible g ∈ G such that 〈g〉 = G.
Shen, Caixia, Xia, Limeng
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Asymptotic arbitrage in fractional mixed markets
Modern Stochastics: Theory and Applications, 2018 We consider a family of mixed processes given as the sum of a fractional Brownian motion with Hurst parameter $H\in (3/4,1)$ and a multiple of an independent standard Brownian motion, the family being indexed by the scaling factor in front of the ...
Fernando Cordero +2 more
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Signal Fluctuations and the Information Transmission Rates in Binary Communication Channels
Entropy, 2021 In the nervous system, information is conveyed by sequence of action potentials, called spikes-trains. As MacKay and McCulloch suggested, spike-trains can be represented as bits sequences coming from Information Sources (IS).
Agnieszka Pregowska
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On Subsequence Sums of a Zero-sum Free Sequence [PDF]
The Electronic Journal of Combinatorics, 2007 Let $G$ be a finite abelian group with exponent $m$, and let $S$ be a sequence of elements in $G$. Let $f(S)$ denote the number of elements in $G$ which can be expressed as the sum over a nonempty subsequence of $S$. In this paper, we show that, if $|S|=m$ and $S$ contains no nonempty subsequence with zero sum, then $f(S)\geq 2m-1$.
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Matrix Transformations and Disk of Convergence in Interpolation Processes
International Journal of Mathematics and Mathematical Sciences, 2008 Let 𝐴𝜌 denote the set of functions analytic in |𝑧|
Chikkanna R. Selvaraj, Suguna Selvaraj
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REMARKS ON TINY ZERO-SUM SEQUENCES
, 2014 See the abstract in the attached ...
Yushuang Fan +4 more
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