Analytical solutions of the fifth-order time fractional nonlinear evolution equations by the unified method

This key purpose of this study is to investigate soliton solution of the fifth-order Sawada–Kotera and Caudrey–Dodd–Gibbon equations in the sense of time fractional local [Formula: see text]-derivatives. This important goal is achieved by employing the unified method. As a result, a number of dark and rational soliton solutions to the nonlinear model are retrieved. Some of the achieved solutions are illustrated graphically in order to fully understand their physical behavior. The results demonstrate that the presented approach is more effective in solving issues in mathematical physics and other fields.

UNIFIED METHOD OF ADAPTIVE-ROBUST REDUCTION OF UNCERTAINTIES IN THE ELIMINATION OF BLIND SPOTS AND RANGING OF AIR OBJECTS IN PULSE-DOPPLER RADARS

A unified method of disclosing blind ranges, reducing or eliminating measurement ambiguity has been proposed and investigated, which allows, within the framework of a typical long-range detection session of an air object by a pulse-Doppler radar, to reduce time costs, expand information content, and unify algorithmic support of a detection session. At the heart of: unified adaptive-robust procedures for controlling radiation parameters (guaranteeing the observability of an object) and processing ambiguous quasi-measurements of range (in absence of detection) and real measurement (in initial detection).

A Multitude of Languages - and One Country: Building up Communication among the Peoples of Russia through Translation

The article gives a survey of the problematics, historic and cultural practice of maintaining and developing the ethnic languages of Russia through translation; it retrospectively describes the history of polycultural co-existence (including the unified method of presentation for childrens folk lore in S. Marshaks version) and outlines the ways of dealing with todays urgent problems of preserving ethnic language. The article describes the models of reconstructing the lost texts and the strategies of translating the texts of small ethnic groups, as well as the models of maintaining the quality of translation from Russias ethnic languages into Russian. We especially stress the importance of the Russian language in its role of the cultural mediator. The article pays due attention to the need to develop specific practiceoriented theories of translation which would embrace the global experience in translatology and take into account the specificity of ethno-centric mentality and the ways to keep it in translation. The article is an introduction to the following materials in the volume.

Unified method applied to the new Hamiltonian amplitude equation: Wave solutions and stability analysis

The new Hamiltonian amplitude (nHA) equation deals with some of the disabilities of the modulation wave-train. The main task of this paper is to extract the analytical wave solutions of the nHA equation. Based on the unified scheme, analytical wave solutions are attained in terms of hyperbolic and trigonometric function solutions. In order to prompt the underlying wave propagation characteristics, three-dimensional (3D), two-dimensional (2D) are illustrated from the solutions obtained with the help of computational packages Mathematica and also made comparisons between wave profiles for various values. The proposed method can also be used for many other nonlinear evolution equations.

MULTIMEDIA PRESENTATIONS AND TEACHING ABOUT THE WORLD AROUND US, MAN AND NATURE, AND MAN AND SOCIETY IN GRADES 1 - 4

The article aims to justify and elucidate the role of multimedia presentations in learning about the world around us. Multimedia presentations accompany early training aimed at the child's natural and social environment. They are systematically used due to the visual nature of the predominant learning material, which quite often combines illustrative and educational functions. This article focuses on the didactic use of presentations in lessons and its methodology. The objective of this research is to establish which didactic tasks are performed with the help of multimedia presentations in lessons. The results in the areas studied show that there is no single unified method for using multimedia presentations in the lessons on the surrounding world. In practice, different approaches are used, which, in some cases, are incompatible with the traditional teaching procedure.

Study on Multi-Dimensional Optimization of Detailed Laboratory Analysis Method for Ship Ballast Water

Ballast water can bring aquatic organisms into foreign ecosystems and cause the risk of biological invasion. Therefore, it needs to be treated before discharge, and the treated water needs to be analyzed to determine whether it meets the specified standard. At present, there is no unified method for the detection of plankton worldwide, and there are some problems in the existing methods, such as unreasonable and inaccurate. In this study, neutral red (NR), 5-chloromethyfluorescein diacetate (CMFDA) and fluorescein diacetate (FDA) were used to dye the 10-50 µm plankton of three common phyla in ballast water, and were determined by fluorescence microscope. The results showed that for 10-50 µm plankton, the staining effect of double fluorescence staining was obvious, while the fluorescent dyes could only stain part of marine diatoms, and the sample could not be fixed. The optimal dyeing concentration of neutral red was 1/5000, the dyeing time was 20 min, and the overall dyeing efficiency was above 99%. Fixing agent was used after neutral red staining, when fixing with Lugol’s solution, the lower the temperature, the better the preservation effect. At -4 °C, the storage time of the sample could be increased to 12 h, and the proportion of plankton was more than 96%. In conclusion, neutral red staining can be used as a supplement to fluorescence staining, and the the storage time of samples can be prolong by pretreatment and fixation the samples.

Unified Functional Method for Solving General Polynomial Equations of Degree Less Than Five

A unified method for solving that incorporate a computational formula that relate the coefficients of the depressed equation and the coefficients of the standard polynomial equation is proposed in this study. This is to ensure that this method is valid for all It shall apply the undetermined parameter method of auxiliary function to obtain solutions to these polynomial equations of degree less than five in one variable. In particular, the result of our work is a unification and improvement on the work of several authors in the sense that only applicable for the case of polynomial equation of degree one. Finally, our results improve and generalize the result by applying standard formula methods for solving higher degree polynomials. It is recommended that the effort should be made toward providing other variant methods that are simpler and friendly.

Weighting with Life Cycle Assessment and Cradle to Cradle: A Methodology for Global Sustainability Design

Sustainable product design uses methodologies focused on eco-effectiveness and eco-efficiency for the proposal of innovative technological solutions and for the control of environmental impacts during the product life cycle. One of the main drawbacks of such techniques is their qualitative nature, associated with a decision-making process that is sometimes arbitrary, or with unverifiable data; this means that several complementary tools are currently being used to reduce the error in the results obtained. This situation makes the unification of procedures necessary. In this context, this research develops a methodology for the sustainable design of industrial products that integrates life cycle assessment (in its environmental, economic and social application) and cradle-to-cradle techniques. For this purpose, a new assessment process is proposed, based on damage, developing LCA+C2C endpoint indicators. The methodology is subsequently verified in a case study of products for sustainable mobility (city trike electric). The results show that an integrated LCA+C2C assessment can help to propose more balanced sustainable strategies and would be a suitable method to measure tradeoffs between economic, social and environmental results, for practical purposes and future redesigns. The unified method provides a procedure to design a solution with a trade-off between eco-efficient and eco-effective criteria; it also simplifies the design phases, facilitates the interpretation of the results and provides a quantitative scope to the cradle-to-cradle framework.

Quasi-Boundary Method for Design Consideration of Resonant DC-DC Converters

The paper presents a new unified method for designing the two basic types of serial resonant DC-DC converters (series and with a parallel-loaded capacitor). The method is based on the use of a simplified generalized approach for the analysis of this type of power electronic devices. It is characterized by the fact that regardless of the specific operating mode, with a control frequency below or above the resonant of the series resonant circuit to determine the relationship between input and output voltage or current, it is assumed that the converter operates in resonance. In this sense, it is called a quasi-boundary method for analysis and design. The use of the quasi-boundary method significantly accelerates and facilitates the design of the considered power circuits, which is very useful for the purposes of engineering practice, as well as in the training of power electronics. The applicability of this approach is proven by the methods of mathematical modeling and computer simulations.