mathematical application
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2021 ◽  
Author(s):  
Song Shiyong ◽  
Xing Yuxia

Abstract The management and legal protection of trade secrets is the common goal for all countres. Block Chain was found a huge advantage in protecting trade secrets as an advanced form of mathematical application. To better protect trade secrets for solutions, this study was to find out the legal risks faced with Block Chain. Basic theories of trade secrets and Block Chain were analyzed after reviewed literatures and empirical. The contemporary risks faced were put forward combined in practice. The better ways to protect trade secrets were discussed based on the current judicial practice of China. It was argued that problems of electronic storage and evidence collection of trade secrets would be solved Block Chain protection of trade secrets. Great risks and challenges would be confronted ahead albeit confirmed by the judiciary. It was concluded that a long time was dispensable for Block Chain managing and protecting trade secrets.


InterConf ◽  
2021 ◽  
pp. 190-196
Author(s):  
Ivan Biliuk ◽  
Leonid Buhrim ◽  
Serhii Havrylov ◽  
Oleh Savchenko ◽  
Guodong Shen

in presented paper the transient characteristics of an asynchronous electric drive of a pump unit with PID-similar fuzzy controller are investigated. A comparative analysis of control quality in a system with traditional and fuzzy controllers is performed. The use of fuzzy controller in the asynchronous electric drive of the pump unit for water supply system is substantiated and it is proved that the use of fuzzy logic leads to the improvement of the quality of the transient process of the system. The simulation was performed using the Scilab mathematical application package.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 263
Author(s):  
Yuri N. Lovyagin ◽  
Nikita Yu. Lovyagin

The standard elementary number theory is not a finite axiomatic system due to the presence of the induction axiom scheme. Absence of a finite axiomatic system is not an obstacle for most tasks, but may be considered as imperfect since the induction is strongly associated with the presence of set theory external to the axiomatic system. Also in the case of logic approach to the artificial intelligence problems presence of a finite number of basic axioms and states is important. Axiomatic hyperrational analysis is the axiomatic system of hyperrational number field. The properties of hyperrational numbers and functions allow them to be used to model real numbers and functions of classical elementary mathematical analysis. However hyperrational analysis is based on well-known non-finite hyperarithmetic axiomatics. In the article we present a new finite first-order arithmetic theory designed to be the basis of the axiomatic hyperrational analysis and, as a consequence, mathematical analysis in general as a basis for all mathematical application including AI problems. It is shown that this axiomatics meet the requirements, i.e., it could be used as the basis of an axiomatic hyperrational analysis. The article in effect completes the foundation of axiomatic hyperrational analysis without calling in an arithmetic extension, since in the framework of the presented theory infinite numbers arise without invoking any new constants. The proposed system describes a class of numbers in which infinite numbers exist as natural objects of the theory itself. We also do not appeal to any “enveloping” set theory.


Author(s):  
Gleidson Sobreira Leite ◽  
Adriano Bessa Albuquerque ◽  
Plácido Rogerio Pinheiro

With the growing concern about the spread of new respiratory infectious diseases, several studies involving the application of technology in the prevention of these diseases have been carried out. Among these studies, it is worth highlighting the importance of those focused on the primary forms of prevention, such as social distancing, mask usage, quarantine, among others. This importance arises because, from the emergence of a new disease to the production of immunizers, preventive actions must be taken to reduce contamination and fatalities rates. Despite the considerable number of studies, no records of works aimed at the identification, registration, selection, and rigorous analysis and synthesis of the literature were found. For this purpose, this paper presents a systematic review of the literature on the application of technological solutions in the primary ways of respiratory infectious diseases transmission prevention. From the 1139 initially retrieved, 219 papers were selected for data extraction, analysis, and synthesis according to predefined inclusion and exclusion criteria. Results enabled the identification of a general categorization of application domains, as well as mapping of the adopted support mechanisms. Findings showed a greater trend in studies related to pandemic planning and, among the support mechanisms adopted, data and mathematical application-related solutions received greater attention. Topics for further research and improvement were also identified such as the need for a better description of data analysis and evidence.


2021 ◽  
Vol 10 (4) ◽  
pp. 57-78
Author(s):  
Avishek Chakraborty ◽  
Soheil Salahshour ◽  
Tofigh Allahviranloo

Pythagorean fuzzy set can be defined as an augmented and amplified version of intuitionistic fuzzy set designed for measuring the impreciseness of a real-life complication. This research article advocates the idea of interval valued Pythagorean number in parametric form and its implementation on a mathematical application of a transportation problem for the first time. In adherence to the particular interval valued Pythagorean parametric fuzzy number ambience, a logical score and accuracy function has been initiated in this topic. The authors also have indentured the generalization of de-Pythagorean value and anchored the operation research transportation problem with parametric interval valued Pythagorean number followed by an industrial engineering application. This competent thought will prove useful to us for the purpose of solving surplus daily life problems in the realm of parametric interval valued Pythagorean fuzzy.


2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Miles MacLeod

AbstractIn 1966 Richard Levins argued that applications of mathematics to population biology faced various constraints which forced mathematical modelers to trade-off at least one of realism, precision, or generality in their approach. Much traditional mathematical modeling in biology has prioritized generality and precision in the place of realism through strategies of idealization and simplification. This has at times created tensions with experimental biologists. The past 20 years however has seen an explosion in mathematical modeling of biological systems with the rise of modern computational systems biology and many new collaborations between modelers and experimenters. In this paper I argue that many of these collaborations revolve around detail-driven modeling practices which in Levins’ terms trade-off generality for realism and precision. These practices apply mathematics by working from detailed accounts of biological systems, rather than from initially idealized or simplified representations. This is possible by virtue of modern computation. The form these practices take today suggest however Levins’ constraints on mathematical application no longer apply, transforming our understanding of what is possible with mathematics in biology. Further the engagement with realism and the ability to push realistic models in new directions aligns well with the epistemological and methodological views of experimenters, which helps explain their increased enthusiasm for biological modeling.


Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 87
Author(s):  
Ernesto Leon-Castro ◽  
Fabio Blanco-Mesa ◽  
Alma Montserrat Romero-Serrano ◽  
Marlenne Velázquez-Cazares

The main aim is to propose a new method for estimating the Human Development Index using ordered weighted average. To develop this method, ordered weighted geometric average (OWGA), induced OWGA prioritized OWA (POWA) operator are studied. Using Human Development Index formulation in combination to aggregations operators presented above is proposed the prioritized induced ordered weighted geometric average (PIOWGA) operator. A mathematical application is carried out to estimate the Human Development Index and compare it with the traditional method and other existing methods. Finally, it is noted that decision makers have an influence on the order given in the ranking by its attitude and criterion, and method can capture the subjective information prioritized by them.


Author(s):  
Natal'ya S. Kuznetsova ◽  
Anna I. Smirnova

Topicality of this work is associated with the lack of practical interaction of the studied disciplines of higher mathematics and computer science. The authors argue that in order to increase interest, it is necessary to actively use information technologies right inside the classes in higher mathematics. At the same time, the authors believe that a student must understand the theory of certain types of calculations, must be able to perform them manually and only then, must apply automated calculation methods. Examples of the implementation of game theory in the mathematical application Mathcad are given, while students themselves develop the programme according to the proposed algorithm, which undoubtedly develops logical thinking and shows students the visual use of interdisciplinary connections between two subjects studied – mathematics and computer science. The text contains examples of author's texts of mathematical problems aimed at training students of a military higher education institution. According to the authors, when studying the topic under consideration, it is possible to form the competences necessary for a modern specialist.


2021 ◽  
Vol 11 (4) ◽  
pp. 5-20
Author(s):  
L.S. Kuravsky ◽  
D.A. Pominov ◽  
G.A. Yuryev ◽  
N.E. Yuryeva ◽  
M.A. Safronova ◽  
...  

Presented is a mathematical model of the self-learning adaptive trainer intended for adaptive learning and providing task selection. The approach in question is an alternative to the adaptive technologies based on the Item Response Theory. Possibility to take into account temporal dynamics of solution ability as well as smaller number of tasks that must be performed by a subject to provide the given results are among the features of the methods in use. To assess the effectiveness of the adaptive trainer concept under consideration, its web-implementation intended for training school students to solve mathematical tasks covered by the school curriculum was employed. The analysis performed revealed both high efficiency of the adaptive trainer (the mean test rating has increased 1.54 times owing to its use) and proven statistically significant influences of the adaptive training factor on the observed mathematical test results.


2020 ◽  
Vol 9 (7) ◽  
pp. 1
Author(s):  
Chengfeng Li

The core literacy of mathematics can be divided into the following aspects: mathematical abstraction, mathematical thinking, mathematical application, mathematical operation, logical reasoning, data analysis, mathematical modeling, intuitive imagination, number-shape connection, rigorous verification, mathematical emotion, reasonable guessing, Mathematical culture, careful thinking, use of mathematical tools, mathematical language or symbolic language. Mathematical ability is the most basic and main ability, and it is the foundation of other mathematical literacy. Cultivation of Mathematical Ability


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