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RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE
Copy number variations (CNVs) are gains and losses of DNA se-quence of a genome, which result in the abnormality of the cell or individual. The data from single nucleotide polymorphism (SNP) microar...
For any $S\subset [n]$, we compute the probability that the subgraph of $\mathcal{G}_{n,d}$ induced by $S$ is a given graph $H$ on the vertex set $S$. The result holds for any $d=o(n^{1/3})$ and is fu...
In the paper, a theoretical work is done for investigating effects of splitting data sequence into packs of data set. We proved that a partitioning of data sequence is possible to find such that the e...
We consider a general class of super-additive scores measuring the similarity of two independent sequences of $n$ i.i.d. letters from a finite alphabet. Our object of interest is the mean score by le...
The aim of this work is to address the question of whether we can in principle design rational decision-making agents or artificial intelligences embedded in computable physics such that their decisio...
In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.

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