in this paper‎, ‎we investigate the influence of some subgroups of sylow subgroups with semi cover-avoiding property and‎ ‎$mathcal{f}$-supplementation on the structure of finite groups and generalize a series of known results‎.

in this paper‎, ‎we investigate the influence of some subgroups of sylow subgroups with semi cover-avoiding property and‎ ‎$mathcal{f}$-supplementation on the structure of finite groups and generalize a series of known results‎.

When we want to select a class attribute among several choices, we suggest to using a method that is based on the overall correctness of a generating rule set as well as the number of different values in the candidate class attributes to avoid key-like property to be selected. The underlying theoretical background for this decision is rough set theory. By scoring the factors among possible cand...

A set B is called EXPSPACE-avoiding, if every subset of B in EXPSPACE is sparse. For example, sets of high information density (called HIGH sets in 5]) are shown to be EXPSPACE-avoiding. Investigating the complexity of sets A in EXPSPACE that honestly reduce to EXPSPACE-avoiding sets, we show that if the reducibility used has a property, called range-constructibility, then A must also reduce to...

We present simulation results for long (N ≤ 4000) self-avoiding walks in four dimensions. We find definite indications of logarithmic corrections, but the data are poorly described by the asymptotically leading terms. Detailed comparisons are presented with renormalization group flow equations derived in direct renormalization and with results of a field theoretic calculation.

We introduce a new inductive approach to the lace expansion and apply it to prove Gaussian behaviour for the weakly self avoiding walk on Zd where loops of length m are penalised by a factor e m p when d p d p d In particular we derive results rst obtained by Brydges and Spencer and revisited by other authors for the case d p In addition we prove a local central limit theorem with the exception...