Singularities of asymptotically optimal quadrature formulas in spaces
Page:250-255
Headings of the journal
"Educational Resources and Technologies"
Educational environmentMethods and technologies of training and educationInformation technologyMathematical cyberneticsMethodological researchManagement in social and economic systemsApplied GeoinformaticsEducation for sustainable developmentAll rubrics
All rubrics
Release: 2014-1 (4)
Keywords: formulas of approximate integration, lattice quadrature formulas with boundary layer, thicken rectangle formula, thicken trapezoid rule, Gregory’s formulas, functional of errors, norm of functional, asymptotically optimal formulas
Annotation: The author researches the quadrature formulas with boundary layer for spaces of functions . For cases of spaces ( ) the author show examples of asymptotically optimal and optimal quadrature formulas with boundary layer and write their properties.
Some consequences arising from the incommensurability of the length of the radius and circumference of a circle
Page:256-262
Release: 2014-1 (4)
Keywords: length, commensurability, irrationality, circumference, radius, physical axiomatics, four-dimensional space-time
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.
Justification for the existence of the minimal mass and the calculation of its numerical values
Page:262-270
Release: 2014-1 (4)
Keywords: minimal mass, numerical value, elementary particles, uniformity ofproperties, photon, neutrinos, electron, μ-meson, π-meson, nucleon
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.
Development a visual method of research of dependence of the categorical variables based on contingency tables
Page:270-276
Release: 2014-1 (4)
Keywords: categorical variables, contingency tables, frequency, dependence, visual method, ideal independence, statistical independence, practical independence
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.
Modeling of the form of the lima bean seeds (phaseolus limensis l.)
Page:276-279
Release: 2014-1 (4)
Keywords: lima bean, seeds, the growing, volume and surface area measurement and calculations
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.