Efficient and Convenient Application to Determine the Functions and Analysis of the Reliability of the Device

The article describes the types of distribution laws that can be used to determine the reliability of the device (element), analyzed the most frequently used methods for calculating the reliability. When calculating the reliability functions, the modern programming language "Swift" is used and their algorithms are described.

Second Version of SpectraView for Spectra Analysis

This short communication presents a second version of the program SpectraView (SV2). The Second Version of SpectraView for Spectra Analysis is based on data collected with 2-m RCC telescope at Rozhen National Astronomical Observatory. This version is equipped with new user interface and other features unavailable in its previous versions. It has also been created using modern programming language and is now compatible with the latest operating systems. The program has been tested on the observations of the five short-period variable stars.

Mathematical Model of Fight Against Forest Fires in Terms of Irkutsk Oblast: Computational Experiments in Terms of the Julia Language

Forest fires extremely undermine the environment, cause serious damage to the forests, wildlife resources and national economy of the country. The issues of fight against forests fires and their prevention are especially important for Eastern Siberia with its huge spaces, low population density and poor development of the road network on the taiga territories. Organizing and delivering largescale fire prevention activities entails enormous financial and material and technical resources Therefore, ecological-mathematical modeling of situations arising from countering forest fires becomes relevant. The purpose of investigations of such models is to develop a fire fighting strategy that would ensure an acceptable environmental level and, at the same time, be economically effective. This article pays attention to solving the problem of optimal control of forest fire fighting, the prototype of which is the well-known model by G.M. Parks. To analyze the model, the modern programming language Julia is used, which is designed to perform mathematical calculations and numerical investigations. It mostly designed for mathematical calculations and numerical analysis of various problems. Irkutsk Oblast has been chosen as a model territory of research.

Fractional Order Derivative and Integral Computation with a Small Number of Discrete Input Values Using Grünwald–Letnikov Formula

High-accuracy computer approximation of fractional derivatives and integrals by applying Grünwald–Letnikov formula generally requires a large number of input values. If required amount cannot be supplied, accuracy of approximation drops drastically. In this paper, we solve a difficult problem in this scope, i.e., when input data consists only of a small number of discrete values. Furthermore, some of the values may be unusable for computational purposes. Our problem solution includes an appropriate method of input data preprocessing, an interpolation algorithm with extrapolation abilities, a central point function discretization schema, recurrent computational method of coefficients and application of Horner’s schema for the core of the Grünwald–Letnikov method: coefficients and function’s values multiplication. Numerical method presented in the paper enables to compute fractional derivatives and integrals of complicated functions with much higher accuracy than it is possible when application of the default approach to Grünwald–Letnikov method computer implementation is applied. This new method usually takes only 10% of function’s values required by the default approach for the same computations and is much less restrictive for their quality. The general novelty of the method is an efficient configuration of existing numerical methods and enhancement of their abilities by applying modern programming language — Python and arbitrary precision arithmetic for computations.

Closing the Gap Between Specification and Programming: VDM++ and Scala

We argue that a modern programming language such as Scala offers a level of succinctness, which makes it suitable for program and systems specification as well as for high-level programming. We illustrate this by comparing the language with the VDM++ specification language. The comparison also identifies areas where Scala perhaps could be improved, inspired by VDM++. We furthermore illustrate Scala's potential as a specification language by augmenting it witha combination of parameterized state machines and temporal logic, defined as a library, thereby forming an expressive but simple runtime verification framework.

COMPARISON OF PROGRAMMING LANGUAGES ON THE IOS PLATFORM IN TERMS OF PERFORMANCE

In 2014, Apple unveiled a completely new programming language for the iOS and OS X platforms. Swift was presented as a modern programming language, such as: safe, easy to learn and easy to use. This article presents the performance comparison between the Swift and Objective-C languages. For the purpose of the research, two applications were developed, one in each language, implementing sorting algorithms and data structures such as arrays, dictionaries and sets.

Applications of the PL homotopy algorithm for the computation of fixed points to unconstrained optimization problems

This paper describes the main aspects of the ”piecewise-linear homotopy method” for fixed point approximation proposed by Eaves and Saigal [Eaves, C. B. and Saigal, R., Homotopies for computation of fixed points on unbounded regions, Mathematical Programming, 3 (1972), No. 1, 225–237]. The implementation of the method is developed using the modern programming language C# and then is used for solving some unconstrained optimization problems. The PL homotopy algorithm appears to be more reliable than the classical Newton method in the case of the problem of finding a local minima for Schwefel’s function and other optimization problems.