To increase the computing speed of neural networks by means of parallel performance, a new mode of neural network, named Tri-state Cascading Pulse Coupled Neural Network (TCPCNN), is presented in this paper, which takes the ideas of three-state and pipelining used in circuit designing into neural network, and creates new neuron with three states: sub-firing, firing and inhibition. The proposed model can transmit signals in parallel way, as it is inspired not only in the direction of auto-wave propagation but also in its transverse direction in neural network. In this paper, TCPCNN is applied to find the shortest path, and the experimental results indicate that the algorithm has lower computational complexity, higher accuracy, and secured full-scale searching. Furthermore, it has little dependence on initial conditions and parameters. The algorithm is tested by some experiments, and its results are compared with some other classical algorithms --- Dijkstra algorithm, Bellman-Ford algorithm and a new algorithm using pulse coupled neural networks.
We show that each element in the semigroup $S_n$ of all $n \times n$ non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of $S_n$, which form a cone consisting of all $n \times n$ upper (or lower) triangular intensity matrices.
Our previous research was devoted to the problem of determining the primitive periods of the sequences (Gn mod p t )∞ n=1 where (Gn)∞ n=1 is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime p ≠ 2, 11. In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes p = 2, 11.
Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus p and by its powers p t , which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.
V osobně laděné reflexi se vnuk Ladislava Štolla s nadhledem zamýšlí nad osobností svého dědečka, předního československého kulturního ideologa od poloviny čtyřicátých let do konce sedmdesátých let minulého století. Ze vzpomínek a pozdějších úvah skicuje jeho rysy i měnící se podobu vlastního vztahu k němu. Klade si přitom otázku, jaké důvody Ladislava Štolla vedly k jeho dogmatické oddanosti komunistické věrouce a straně a jakým způsobem by bylo možné se dobrat nepředsudečného pochopení jeho života a díla. Svůj pokus chápe jako příspěvek k dosud v českém prostředí takřka neexistujícímu žánru společenské anamnézy, jímž je vyrovnávání s vlastními komunistickými předky., In an essay written with both a personal touch and an attempt at objective distance, the author reflects on his grandfather Ladislav Štoll, a leading ideologue of Czechoslovak arts and culture from the middle of the 1940s to the end of the 1970s. From memoirs and later essays he briefly describes his own relationship to his grandfather. He inquires into the reasons that led Ladislav Štoll to dogmatic devotion to Communist orthodoxy and the Party and into how one might understand Štoll’s life and works without bias. He sees his attempt as a contribution to the genre of social anamnesis, which is still almost nonexistent amongst Czechs as they try to come to terms with their Communist forebears., and Memoáry