The arithmetic of quaternions is recalled from a constructive point of view. A Hecke module is introduced, defined as a free abelian group on right ideal classes of a quaternion order, together with a natural action of Hecke operators. An equivalent construction in terms of Shimura curves is then introduced, and the quaternion construction is applied to the analysis of specific modular and Shim...

Dynamic compaction (DC) is a widely used soil improvement method in dry and/or saturated soils. The design of DC treatment is usually carried out based on the past experiences and empirical relations. In order to clarify the ambiguities in DC processes, numerical modeling of DC in dry granular soils has been considered using a dynamic finite element code. Using the developed model, two design c...

in this paper, some meteorological data, such as temperature, pressure and dew point temperature are used for extracting the atmospheric refractivity in different locations of iran. these data have been measured at different heights in twelve radiosonde sites of country by using meteorological balloons. the set of refractivity points obtained from data of each site are plotted as a function of ...

this paper presents a description of the equipment, testing procedure, and methodology to obtain ground mechanical parameters. the p-y curves for laterally loaded piles are developed. methods for the development of p-y curves from pressure meter and dilatometer (dmt) test are described. p-y curves are used in the analysis to represent lateral soil-pile interaction. the pressure meter offers an ...

A simple and parsimonious model which originated from the Weibull frequency distribution was proposed to describe nonlinear survival curves of spores. This model was suitable for downward concavity curves (Bacillus cereus and Bacillus pumilus), as well as for upward concavity curves (Clostridium botulinum). It was shown that traditional F values calculated from this new model were no longer add...