Let be a Sylow -subgroup of the finite group and let represent the set of degree complex characters of that are the restrictions of class functions on We prove that the natural map is an epimorphism for all finite groups that do not contain a subgroup isomorphic to for any prime . We show,...

If we assume the Thesis that any classical Turing machine , which halts on every n-ary sequence of natural numbers as input, determines a -provable formula, whose standard interpretation is an -ary arithmetical relation (, ..., ) that holds if, and only if, halts, then standard can model the...

In the paper we provide a fiducial method to obtain interval estimation for functions of parameters on restricted parameter space. The examples show that the fiducial procedure is simple and the resulted interval estimation is reasonable. Furthermore, we prove that the conditional fiducial...

In this brief note we would like to give the construction of a free commutative unital associative Nijenhuis algebra on a commutative unital associative algebra based on an augmented modified quasi-shuffle product

A classical nonlinear equation on a complete Riemannian manifold is considered. The existence of solutions connecting any two points is studied, i.e., for 0 the critical points of the functional with (0) = , () = . When the potential has a subquadratic growth with respect to x, admits a minimum...

This paper introduces a family of recursively defined estimators of the parameters of a diffusion process. We use ideas of stochastic algorithms for the construction of the estimators. Asymptotic consistency of these estimators and asymptotic normality of an appropriate normalization are proved....

The chi-squared test of Markov chain lumpability is shown to operate reliably under a corrected derivation of the degrees of freedom. The test is used to screen out lumping schemes that corrupt the Markov property and give rise to higher order dependence

Based on a non-parametric criterion of independence derived from a generalized version of the Schweizer-Wolff non-parametric measure of dependence, we calculate rates of convergence to asymptotic independence between the order statistics in a general setting. Three different rates of convergence...

The complete characterizations of the spectra and their various parts of hyponormal unilateral and bilateral weighted shifts are presented respectively in this paper. The results obtained here generalize the corresponding work of the references

Due to the externalities, in normal form games a deviation changes the payoff of all players inducing a retaliation by the remaining or residual players. The stability of an outcome depends on the expectations potential deviators have about this reaction, but so far no satisfactory theory has...