A proper formulation in the perturbative renormalization group method is presented to deduce amplitude equations. The formulation makes it possible not only avoiding a serious diiculty in the previous reduction to amplitude equations by eliminating all of the secular terms but also consistent derivation of higher-order correction to amplitude equations. Recently a novel method based on the pert...

A quantitative approach in radiation biology based on the clonogenic method and cell survival curves in various conditions are introduced. The cell survival curves seem to have universality with regard to its functional form; in other words, functional form of survival curve seems to be unchanged under various conditions including different species. Various factors affecting the radiosensitivit...

In this paper1 we present an extension of MCTAGs with Local Shared Derivation (Seddah, 2008) which can handle non local elliptic coordinations. Based on a model for control verbs that makes use of so-called ghost trees, we show how this extension leads to an analysis of argument cluster coordinations that provides an adequate derivation graph. This is made possible by an original interpretation...

In this paper, mechanics of continuum with general form nonlocality in space and time is considered. Some basic concepts nonlocal are discussed. General fractional calculus (GFC) vector (GFVC) used as mathematical tools for constructing media time. Balance equations mass, momentum, energy, which describe conservation laws continuum, derived by using the fundamental theorems GFC. The balance equ...

We give a detailed derivation of a generalization of the second derivative test of single-variable calculus which can classify critical points as local minima or local maxima (or neither), whenever the traditional second derivative test fails, by considering the values of higher-order derivatives evaluated at the critical points. The enhanced test is local, in the sense that it is only necessar...

Abstract 2-Local derivations on real matrix algebras over unital semi-prime Banach are considered. Using the analogue of result that any 2-local derivation algebra $$M_{2^n}(A)$$ M 2 n ( A ...