We study variants of P systems that are working in the sequential mode. Usually, they are not computationally complete, but there are possible extensions that can increase the computation power. Extensions that implement a notion of zero-checking are often computationally complete. P systems with an ability to create new membranes are a rare exception as they are known to be computationally com...

For the p-system with large BV initial data, an assumption introduced in [3] by Bakhvalov guarantees the global existence of entropy weak solutions with uniformly bounded total variation. The present paper provides a partial converse to this result. Whenever Bakhvalov’s condition does not hold, we show that there exist front tracking approximate solutions, with uniformly positive density, whose...

We consider front tracking approximate solutions to the p-system of isentropic gas dynamics. At interaction times, the outgoing wave fronts have the same strength as in the exact solution of the Riemann problem, but some error is allowed in their speed. For large BV initial data, we construct examples showing that the total variation of these approximate solutions can become arbitrarily large, ...

In this short note, the author shows that the gap problem of some folded 3-XOR is NP-hard and can be solved by an algorithm that assigns value to each variable by the numbers of 1 and −1 in its long code. To conclude, the author proves that P = NP .

The projection pursuit index defined by a sum of squares of the third and the fourth sample cumulants is known as the moment index proposed by Jones and Sibson [14]. Limiting distribution of the maximum of the moment index under the null hypothesis that the population is multivariate normal is shown to be the maximum of a Gaussian random field with a finite Karhunen-Loève expansion. An approxim...

introduction :   co 2 (carbon dioxide) laser application in circumcision, for cutting and coagulation, has been reported to have excellent results. also, tissue glue has been reported to have advantages over sutures for approximation of wound edges. most previous studies focused on comparisons between co 2 laser and scalpel, or between tissue glue and sutures. this study prospectively compared ...

In the k-2VC problem, we are given an undirected graph G with edge costs and an integer k; the goal is to find a minimum-cost 2-vertex-connected subgraph of G containing at least k vertices. A slightly more general version is obtained if the input also specifies a subset S ⊆ V of terminals and the goal is to find a subgraph containing at least k terminals. Closely related to the k-2VC problem, ...

in the present article, we propose the $(p,q)$variant of genuine baskakov durrmeyer operators. we obtain moments and establish some directresults, which include weighted approximation and results in terms of modulus of continuity of second order.

quadratic stark constants of neutral copper spectral lines for all s,p, and d levels are calculated using the coulomb approximation. these results are compared with existing data and, generally, good agreement is observed

In this paper we deal with the class NCX of NP Optimization problems that are approximable within constant ratio in NC. This class is the parallel counterpart of the class APX. Our main motivation here is to reduce the study of sequential and parallel approximability to the same framework. To this aim, we rst introduce a new kind of NC-reduction that preserves the relative error of the approxim...