This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims to give a macroscopic approximation that takes into account the microscopic het...

in classical mechanics, considering hook’s law stress is a linear function of strain. while in strain gradient theory stress is a function of strain and strain differentials. in this paper, novel formulation relating stress and strain and also new boundary conditions are derived based on minimum potential energy principle. in strain gradient theory a length coefficient parameter is defined. thi...

Physiological and evolutionary adaptations operate at very different time scales. Nevertheless, there are reasons to believe there should be a strong relationship between the two, as together they modify the phenotype. Physiological adaptations change phenotype by altering certain microscopic parameters; evolutionary adaptation can either alter genetically these same parameters or others to ach...

In 1983, Felderhof, Ford, and Cohen gave microscopic explanation of the famous Clausius-Mossotti formula for the dielectric constant of nonpolar dielectric. They based their considerations on the cluster expansion of the dielectric constant, which relates this macroscopic property with the microscopic characteristics of the system. In this article, we analyze the cluster expansion of Felderhof,...

background and objectives : in iran, anaplasmosis is normally diagnosed with traditional giemsa staining method. this is not applicable for identification of the carrier animals. the aim of this study was to compare the detection of anaplasma marginale in two different numbers of microscopic fields (50 and 100) using conventional giemsa staining method compared with the pcr-rflp technique. mate...

background and objectives: cardiospermum halicacabum l. is a climber plant of sapindaceae family with certain medicinal properties that have made it to be used traditionally in different systems of medicine such as ayurveda, homeopathy and unani medicine. literature survey has revealed the reports about some investigations but references were not available about the seeds of c. halicacabum; hen...

cadmium (cd), known as a non-essential heavy metal, can cause oxidative stress in plants. in this study, an attempt was carried out to find out whether cd-induced oxidative and microscopic changes could be observed in the early stage of seedling growth. seeds of brassica napus (cvs. zheda 619 and zs 758) were germinated in vitro at 0, 100, 200, 300, and 500 μm cd concentrations in dark for 48 h...

atypical presentation is the most common form of celiac disease (cd). although the terminologies like latent, silent and potential have expressed different aspects of clinical and pathological behaviour of cd, they also have contributed in some extent to confusion between clinicians and patients due to the multiple definitions and uncertainty around them. in the light of new advances and the di...