hybrid of rationalized haar functions are developed to approximate the solution of the differential equations. the properties of hybrid functions which are the combinations of block-pulse functions and rationalized haar functions are first presented. these properties together with the newton-cotes nodes are then utilized to reduce the differential equations to the solution of algebraic equation...

We give a probabilistic interpretation for the Barnes G-function which appears in random matrix theory and in analytic number theory in the important moments conjecture due to Keating-Snaith for the Riemann zeta function, via the analogy with the characteristic polynomial of random unitary matrices. We show that the Mellin transform of the characteristic polynomial of random unitary matrices an...

Transforming growth factor betas (TGF?s) are one of the most widespread and versatile cytokines. The three mammalian TGF? isoforms, ?1, ?2, and ?3, and their receptors regulate proliferation of neuronal precursors as well as survival and differentiation in neurons of developing and adult nervous system. Functions of TGF?s has a wide spectrum ranging from regulating cell proliferation and differ...

Decomposability of an algebraic structure into the union of its sub-structures goes back to G. Scorza's Theorem of 1926 for groups. An analogue of this theorem for rings has been recently studied by A. Lucchini in 2012. On the study of this problem for non-group semigroups, the first attempt is due to Clifford's work of 1961 for the regular semigroups. Since then, N.P. Mukherjee in 1972 studied...

We use a novel formation to illustrate the ($\alpha,\beta,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore sum uncertainty relations for arbitrary $N$ channels and unitary These inequalities are shown be tighter than existing ones by detailed example. Our results also applicable (...

A variant of a principal structural protein of erythrocytes, spectrin, is a major neuronal protein. Here we have examined the subcellular and regional distributions, subunit composition, ontogeny, and metabolism of spectrin in rat CNS. While all subcellular fractions, except the mitochondrial, expressed the previously characterized brain form of spectrin (fodrin, or alpha gamma-spectrin), limit...

Introduction: One of the main concerns in administration of radiotracers, especially in therapeutic arm, is the amount of delivered dose to the different organs. Individual variations of anatomy, physiology and underlying pathology in the patients lead to alteration of administered activity. In the current study we preclinically applied internal dosimetry using an animal mod...

Some new inequalities for the q-gamma, the q-beta and the q-analogue of the Psi functions are established via some q-integral inequalities. In classical analysis, integral inequalities have been well-developed and leading to a wide variety of applications in mathematics and physics (see [11–13] and references therein). In a survey paper [4], Dragomir et al. used certain clever integral inequali...