For solving systems of linear equations with dense system matrix there is presenting a parallel algorithm of SOR-method. There is showing OpenMP-programm for the parallel algorithm. There are giving the results of numerical experiments.
This paper presents an implementation of 1-Wire communication interface based on STM32 microcontroller with the usage of hardware timer. Implemented low-level library uses minimum of MCU resources, has address search functionality and can be applied for polling sensors in wired networks based on this interface.
There is proved a new set of integral identities. To this problem the interest is explained by hydrodynamics problems.
Two-dimensional Yang — Mills models in a pseudo-euclidean space are considered from a point of view of a class of nonlinear Klein — Gordon — Fock equations. It is shown that the Nahm reduction does not work, another, novel choice is proposed and investigated. A quasiclassical quantization of the models is based on Feynmann — Maslov path integral construction and its zeta function representation in terms of a Green function diagonal for an auxiliary heat equation with an elliptic potential. The natural renormalization use a freedom in vacuum state choice as well as the choice of the norm of an evolution operator eigenvectors. A nonzero mass appears as the quasiclassical correction, that is expressed via hyperelliptic integral.
In this article we describe Hess pairing on elliptic curves and create its computational algorithm. Main purpose of this article is creation and properties overview of mail-exchange protocol inside hybrid cloud with two re-encryptions, based on this pairing. Also, we describe an authentification algorithm, used in this protocol.
Scoliosis is a common disease among children and adults. A standard method for assessing the severity of scoliosis is to measure the Cobb angle. However in some cases the Cobb angle may not be clinically indicative. Moreover, the measurement process is fraught with errors caused by the subjectivity of setting key points at the first measurement stage. The article describes the developed system for measuring the scoliosis angle, based on the use of artificial convolutional neural networks and subsequent algorithmic processing. The objective of the developed program is to measure the angles of scoliotic deformation of the spinal column.
It is shown that the H -distribution for each L-, L-, H-subbundles generates three one-parametrical families of Norden internal normalizations in the 2nd order differential neighbourhood. Construction H-subbundle of the Fubini and Wilczynski projective normals is given. Canonical bundles of 1st and 2nd kind normals are constructed for each L-, L-, H-subbundles of the H-distribution.
This paper describes the principle of building an arbitrary waveform generator based on the STM32F10x MCU family. This generator was successfully applied by the authors of the study in the development of the electostimulation device. Waveform generator allows to generate impulses of square, trapezoidal, sawtooth and sinusoidal shape in a wide frequency range, creating minimal computational load on the core of MCU. Software signal waveform generator can also be applied in creating other electonical devices such as motor drivers or can be used as laboratory signal source.
The paper analyzes the main options for introducing blockchain technology in the banking sector. The foundations of the technology itself, its advantages and limitations are considered. The option of introducing technology in the form of a combination of internal and external blockchains with the involvement of the resources of the regulator represented by the Central Bank of the Russian Federation is proposed.