Conway's classic game of life is a two-dimensional cellular automaton in which each cell alive or dead and evolves according to simple rules that depend solely on the number live cells its immediate neighborhood. The emergence complex multi-cellular objects provides fascinating vehicle for exploration. A variant presented, generalized semi-classical life, contains qubit by repeated application ...

The generalized minimum spanning tree problem is a generalization of the minimum spanning tree problem. This network design problems finds several practical applications, especially when one considers the design of a large-capacity backbone network connecting several individual networks. In this paper we study the performance of six neighborhood search heuristics based on tabu search and variab...

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scr...

In this contribution we combine approaches the generalized leraning vector quantization (GLVQ) with the neighborhood orientented learning in the neural gas network (NG). In this way we obtain a supervised version of the NG what we call supervised NG (SNG). We show that the SNG is more robust than the GLVQ because the neighborhood learning avoids numerically instabilities as it may occur for com...

We present a new algorithm for solving the real roots of a bivariate polynomial system R 1⁄4 ff ðx; yÞ; gðx; yÞg with a finite number of solutions by using a zero-matching method. The method is based on a lower bound for the bivariate polynomial system when the system is non-zero. Moreover, the multiplicities of the roots of R 1⁄4 0 can be obtained by the associated quotient ring technique and ...

We present a novel view on the morphology and dynamical state of ten prominent, nearby (?500 pc), young (?30–300 Myr) open star clusters with Gaia DR2: ? Per, Blanco 1, IC 2602, 2391, Messier 39, NGC 2451A, 2516, 2547, Platais 9, Pleiades. introduce pioneering member-identification method that is informed by cluster bulk velocities deconvolves spatial distribution mixture Gaussians. Our approac...