Most mathematicians have encountered modular functions. For example, when the group theorists discovered the monster group, they were surprised to find that the degrees of its irreducible representations were already encoded in the q-coefficients of the j-function. The theory of Shimura varieties grew out of the applications of modular functions and modular forms to number theory. Roughly speak...

fractions obtained from partitioning of aerial methanolic extract of euphorbia aellenii with chloroform (e2), ethyl acetate (e3), n-butanol (e4) and water (e5) were investigated in vitro for their phytotoxicity, insecticidal, anti-leishmanial, cytotoxicity, antibacterial and antifungal activities. sample e2 appeared to have significant phytotoxic activity. in the insecticidal screening study on...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...

The molecular associations in the binary mixtures of (methanol/solvent), (ethanol/solvent) and (propanol/solvent) were studied using NMR, FTIR and VLE data at different temperatures. The activity coefficients as the most important quantities representing the mixture deviation form ideal behavior were evaluated by using various association models to express the physical and chemical contribution...

azotobacter vinelandii, a gamma-proteobacterium, is an obligate aerobic free-living gram-negative soil bacterium capable of fixing nitrogen. oxygen transfer rate into the cell is reduced by the increase of alginate concentrations during the course of a. vinelandii cultivation. this phenomenon provides a low intracellular oxygen concentration needed for nitrogenase activity. the aim of this stud...

Excess functions ........................................................................................................................................ 1 Mathematical explanation ..................................................................................................................... 1 Physical example: Molar volume of a pure substance ................................................

abstract aims: regular physical activity can reduce the burden of chronic diseases, such as heart disease, diabetes, and some cancers, and can prevent early death. this study examined the impact of performing health promotion model intervention on physical activity of the health volunteers. materials & methods: this cross-sectional research is part of a three-month intervening study started in ...

Excess functions ........................................................................................................................................ 1 Mathematical explanation ..................................................................................................................... 1 Physical example: Molar volume of a pure substance ................................................

BACKGROUND AND PURPOSE Neonatal encephalopathy in human babies is a serious condition associated with permanent neurological deficits. Diffusion-weighted MRI (DWI) is increasingly used for early diagnosis of brain injury in human babies. The relationship between the presence of DWI abnormalities and cellular injury, including apoptosis, during the neonatal period are not well understood. We ask...