Based on the misleading expectation that weighted network properties always offer a more complete description than purely topological ones, current economic models of the International Trade Network (ITN) generally aim at explaining local weighted properties, not local binary ones. Here we complement our analysis of the binary projections of the ITN by considering its weighted representations. ...

M-Sequences play a big important role, as the other binary orthogonalsequences, for collection information on input links and distributionthese output of communication channelsand building new systems with more complexity, larger period, andsecurity, through multiplication these sequences. In our article we try tostudy construction sequence {zn}and its linearequivalent, this is multiple two seq...

Alignment-free sequence analysis approaches provide important alternatives over multiple sequence alignment (MSA) in biological sequence analysis because alignment-free approaches have low computation complexity and are not dependent on high level of sequence identity. However, most of the existing alignment-free methods do not employ true full information content of sequences and thus can not ...

Because the majority of massive stars are born as members of close binary systems, populations of massive main-sequence stars contain stellar mergers and products of binary mass transfer. We simulate populations of massive stars accounting for all major binary evolution effects based on the most recent binary parameter statistics and extensively evaluate the effect of model uncertainties. Assum...

Fnou srupty BErNG A MATHEMATIcAL cuRroslry fifteen years ago, binary sequence generating shift registers have become important tools in a surprising range of applications. The random-like patterns of 1's and 0's generated by these circuits are used to obtain increased range in radars,' to encode and decode digital and analog data for secure storage and transmission,2 to encode and decode digita...

Steganography is the art of hiding confidential information (secret) within any media file (cover media) to produce an amalgamated secret-cover media called stego media, so that the secret cannot be recognized or recovered by unauthorized recipients. Many steganalysis techniques have been developed enabling recognition of the existence of secrets within stego media and recovering it. Therefore,...

SUMMARY We investigate binary sequence pairs with two-level correlation in terms of their corresponding cyclic difference pairs (CDPs). We define multipliers of a cyclic difference pair and present an existence theorem for multipliers, which could be applied to check the exis-tence/nonexistence of certain hypothetical cyclic difference pairs. Then, we focus on the ideal case where all the out-o...

Consider a rooted tree structure the nodes of which have been labelled monotonically by elements of { 1, 2, . . .,k}, which means that any sequence connecting the root of the tree with a leaf is weakly monotone . For fixed k asymptotic equivalents of the form CA gA °n; 2 (n --oo) to the numbers of such tree structures with n nodes are obtained for the family of extended unary-binary trees (i .e...

One can prove the following propositions: (1) For every set D and for every finite sequence p and for every natural number n such that p ∈ D holds p↾ Segn ∈ D. (2) For every binary tree T holds every element of T is a finite sequence of elements of Boolean. Let T be a binary tree. We see that the element of T is a finite sequence of elements of Boolean. Next we state several propositions: (3) F...