We derive the coincidence of Lutz’s constructive dimension and Kolmogorov complexity for sets of infinite strings from Levin’s early result on the existence of an optimal left computable cylindrical semi-measure M via simple calculations.

This paper is dedicated to study dense left cancellative languages.A characterization and some important properties of this class of languages ia given by using some class of semi-singular words.

Let be a commutative ring with 1 and left unitary . In this paper, the generalizations for notions of compressible module retractable are given. An is termed to semi-essentially if can embedded in every non-zero semi-essential submodules. module, submodule an Some their advantages characterizations examples We also study relation between these classes some other modules.

semi-regular locales are extensions of the classical semiregularspaces. we investigate the conditions such that semi-regularizationis a functor. we also investigate the conditions such that semi-regularizationis a reflection or coreflection.

recognition of the natural history and responsible leading factors for regression of left ventricular hypertrophy after successful renal transplantation are very important. the aim of this study was to assess the regression of left ventricular hypertrophy after successful renal transplantation among uremic patients. in this study 27 uremic patients (18 males and 9 females) with an average age o...

This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism.  Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-c...

An R-module is called semi-endosimple if it has no proper fully invariant essential submodules. For a quasi-projective retractable module MR we show that M is finitely generated semi-endosimple if and only if the endomorphism ring of M is a finite direct sum of simple rings. For an arbitrary module M , conditions equivalent to the semi-endosimplicity of its quasi-injective hull are found. As co...

The book “The origin of consciousness in the breakdown of the bicameral mind” of Julian Jaynes provides, not only a fascinating scenario about the evolution of modern consciousness from the consciousness of bicameral stone age man, but also a holistic view about schizophrenic consciousness. In fact, Jaynes regards schizophrenic as a bicameral man receiving commands of “God” as auditory and visu...

Preface In his beautiful book [54], Jean Petitot proposes a subriemannian model for the primary visual cortex of mammals. This model is neurophysiologically justified. Further developments of this theory lead to efficient algorithms for image reconstruction , based upon the consideration of an associated hypoelliptic diffusion. The subriemannian model of Petitot (or certain of its improvements)...