Headings of the journal
"Educational Resources and Technologies"

Annotation: The problem of incommensurability of the length of the radius and circumference of a circle considered. The basis of this consideration laid of scientific principles of physical axiomatics of mathematics. It is shown that the length of the radius and the length of circumference should be considered as dissimilar quantities relating to the display of various properties of the physical world. The existence of a fundamental property of matter, other than space and time, which is the source of wave processes and cause the formation of bodies of revolution, is predicted.

Annotation: The hypothesis of the existence of a physical object of microcosm, which is a carrier of minimal mass, is developed. The numerical value of the minimal mass was found to be 34.75 MeV/c2. The physical natureof the electron massis different fromthe nature of allother ele-mentaryparticles. Photons and neutrinos are treated as objects of the microcosm, which do not have property of mass.

Annotation: In this article a visual method of research of dependence of the categorical variables, based on geometrical interpretation of frequencies in the contingency table is described. Differentiation of independence is produced on ideal, statistical and practical.

Annotation: The form of seeds is a very significant characteristic which is required for designing the equipment, for the harvest in plantations, transport, drying, storage and airing of dried seeds. In these work the calculations of the volume and surface area of Lima bean seeds in the process of their maturation were carried out from the measured dimensions - length, width and thickness. Some models from the literature were used for the calculations, a comparison with the experimentally measured values of the volume was carried out.

Annotation: This paper deals with investigation of discrete stochastic pedestrian dynamics model SIg-MA.CA. Variety of case studies when basic people movement phenomena realize were considered. Fundamental diagrams (specific flow versus people density) for some cases are presented.