scholarly journals Electronic ceramic structure within the Voronoi cells model and microstructure fractals contacts surfaces new frontier applications

2013 ◽  
Vol 45 (2) ◽  
pp. 223-232 ◽  
Author(s):  
V.V. Mitic ◽  
V. Paunovic ◽  
S. Jankovic ◽  
V. Pavlovic ◽  
I. Antolovic ◽  
...  
Keyword(s):  
Mathematical Statistic ◽  
Mathematical Statistics ◽  
Fractal Nature ◽  
Mathematical Methods ◽  
Material Microstructure ◽  
Ceramic Structure ◽  
New Approach ◽  
Voronoi Cells ◽  
Real Model ◽  
New Frontier

In this study, in order to establish grain shapes of sintered ceramics, new approach on correlation between microstructure and doped BaTiO3 -ceramics properties based, on Voronoi model and mathematical statistics calculations on fractal geometry, has been developed. BaTiO3-ceramics doped with Yb2O3 (from 0.1 to 1.0wt% of Yb) were prepared by using conventional solid state procedure and were sintered from 1320?C to 1380?C for four hours. The microstructure of sintered specimens was investigated by Scanning electron microscope JEOL-SEM-5300. For better and deeper characterization and understanding of the ceramics material microstructure, the methods which include the fractal nature structure, and also Voronoi model and mathematical statistics calculations, are applied. In our research the Voronoi is one specific interface between fractal structure nature and different stochastically contact surfaces, defined by statistical mathematical methods. Also, the Voronoi model practically provided possibility to control the ceramics microstructure fractal nature. Mathematical statistic methods enabled establishing the real model for the prognosis based on correlation: synthesis-structures-properties.

Interpolation Methods Applied on Biomolecules and Condensed Matter Brownian Motion

2021 ◽  
Author(s):  
Sanja Aleksic ◽  
Bojana Markovic ◽  
Vojislav V. Mitic ◽  
Dusan Milosevic ◽  
Mimica Milosevic ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Condensed Matter ◽  
Particle Systems ◽  
Fractal Nature ◽  
New Approach ◽  
Motion Data ◽  
Joint Properties ◽  
Physical Particle ◽  
High Level ◽  
Advanced Development

Biophysical and condensed matter systems connection is of great importance nowadays due to the need for a new approach in microelectronic biodevices, biocomputers or biochips advanced development. Considering that the living and nonliving systems’ submicroparticles are identical, we can establish the biunivocally correspondent relation between these two particle systems, as a biomimetic correlation based on Brownian motion fractal nature similarities, as the integrative property. In our research, we used the experimental results of bacterial motion under the influence of energetic impulses, like music, and also some biomolecule motion data. Our goal is to define the relation between biophysical and physical particle systems, by introducing mathematical analytical forms and applying Brownian motion fractal nature characterization and fractal interpolation. This work is an advanced research in the field of new solutions for high-level microelectronic integrations, which include submicrobiosystems like part of even organic microelectronic considerations, together with some physical systems of particles in solid-state solutions as a nonorganic part. Our research is based on Brownian motion minimal joint properties within the integrated biophysical systems in the wholeness of nature.

Fractal Geometry and Properties of Doped BaTiO3 Ceramics

2010 ◽  
Vol 67 ◽  
pp. 42-48 ◽  
Author(s):  
V.V. Mitic ◽  
V.B. Pavlovic ◽  
L. Kocic ◽  
V. Paunovic ◽  
L. Zivkovic
Keyword(s):  
Fractal Dimension ◽  
Solid State ◽  
Fractal Geometry ◽  
Grain Shape ◽  
Grain Structure ◽  
Fractal Method ◽  
Ceramic Structure ◽  
New Approach ◽  
Fractal Modeling ◽  
Dielectrical Properties

Taking into account that the complex grain structure is difficult to describe by using traditional analytical methods, in this study, in order to establish ceramic grain shapes of sintered BaTiO3, new approach on correlation between microstructure and properties of doped BaTiO3 ceramics based on fractal geometry has been developed. BaTiO3 ceramics doped with various dopants (MnCO3, Er2O3, Yb2O3) were prepared using conventional solid state procedure, and were sintered at 1350oC for four hours. The microstructure of sintered specimens was investigated by SEM-5300. Using method of fractal modeling a reconstruction of microstructure configurations, like grains shapes, or intergranular contacts has been successfully done. Furthermore, the area of grains surface was calculated using fractal correction that expresses the irregularity of grains surface through fractal dimension. The presented results, indicate that fractal method for ceramics structure analysis provides a new approach for describing, predicting and modeling the grain shape and relations between the BaTiO3-ceramic structure and dielectrical properties.

Developing a Multisemester Interwoven Dynamic Systems Project to Foster Learning and Retention of STEM Material

2004 ◽  
Author(s):  
Peter Avitabile ◽  
Stephen Pennell ◽  
John White
Keyword(s):  
Dynamic Systems ◽  
Basic Material ◽  
Mathematical Methods ◽  
Introductory Courses ◽  
New Approach ◽  
Science Technology ◽  
Educational Career ◽  
And Mathematics ◽  
Relationship Of ◽  
The Relationship

Students generally do not understand how basic STEM (Science, Technology, Engineering and Mathematics) material fits into all of their engineering courses. Basic material is presented in introductory courses but the relationship of the material to subsequent courses is unclear to the student since the practical relevance of the material is not necessarily presented. Students generally hit the “reset button” after each course not realizing the importance of basic STEM material. The capstone experience is supposed to “tie all the pieces together” but this occurs too late in the student’s educational career. A new multisemester interwoven dynamic systems project has been initiated to better integrate the material from differential equations, mathematical methods, laboratory measurements and dynamic systems across several semesters/courses so that the students can better understand the relationship of basic STEM material to an ongoing problem. This paper highlights the overall concept to be addressed by the new approach. The description of the project and modules under development are discussed.

scholarly journals The fractal nature as new frontier in microstructural characterization and relativization of scale sizes within space

2020 ◽  
Vol 34 (22) ◽  
pp. 2050421
Author(s):  
Vojislav V. Mitic ◽  
Goran Lazovic ◽  
Dragoljub Mirjanic ◽  
Hans Fecht ◽  
Branislav Vlahovic ◽  
...  
Keyword(s):  
Energy Storage ◽  
Fractal Analysis ◽  
Microstructural Characterization ◽  
Experimental Results ◽  
Fractal Nature ◽  
Advanced Ceramic ◽  
New Frontier

Today in the age of advanced ceramic civilization, there are a variety of applications for modern ceramics materials with specific properties. Our up-to date research recognizes that ceramics have a fractal configuration nature on the basis of different phenomena. The key property of fractals is their scale-independence. The practical value is that the fractal objects’ interaction and energy is possible at any reasonable scale of magnitude, including the nanoscale and may be even below. This is a consequence of fractal scale independence. This brings us to the conclusion that properties of fractals are valid on any scale (macro, micro, or nano). We also analyzed these questions with experimental results obtained from a comet, here 67P, and also from ceramic grain and pore morphologies on the microstructure level. Fractality, as a scale-independent morphology, provides significant variety of opportunities, for example for energy storage. From the viewpoint of scaling, the relation between large and small in fractal analysis is very important. An ideal fractal can be magnified endlessly but natural morphologies cannot, what is the new light in materials sciences and space.

scholarly journals Multi-Criteria Analysis and Prediction of Network Incidents Using Monitoring System

2017 ◽  
Vol 1 (1) ◽  
pp. 29 ◽  
Author(s):  
Lukas Macura ◽  
Miroslav Voznak
Keyword(s):  
Monitoring System ◽  
Network Flow ◽  
Flow Analysis ◽  
Mathematical Methods ◽  
New Approach ◽  
Creative Commons ◽  
Data Flows ◽  
Data Correlations ◽  
Computationally Intensive ◽  
Network Technologies

Today, network technologies can handle throughputs up to 100Gbps, transporting 200 million packets per second on a single link. Such high bandwidths impact network flow analysis and as a result require significantly more powerful hardware. Methods used today concentrate mainly on analyzes of data flows and patterns. It is nearly impossible to actively look for anomalies in network packets and flows for a small amount of change of monitoring patterns could result in big increases in potentially false positive incidents. This paper focuses on multi-criteria analyzes of systems generated data in order to predict incidents. We prove that systems generated monitoring data are an appropriate source to analyze and enable for much more focused and less computationally intensive monitoring operations. By using appropriate mathematical methods to analyze stored data it is possible to obtain useful information. During our work, some interesting anomalies in networks were found by utilizing simple data correlations using monitoring system Zabbix. We concluded that it is possible to declare that deeper analysis is possible due to Zabbix monitoring system and its features like Open-Source core, documented API and SQL backend for data. The result of this work is a new approach to the analysis containing algorithms which allow to identify significant items in monitoring system. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

scholarly journals On Closure Properties of Irrational and Transcendental Numbers under Addition and Multiplication

2016 ◽  
Vol 13 (3) ◽  
Author(s):  
Shekh Zahid ◽  
Prasanta Ray
Keyword(s):  
Algebraic Numbers ◽  
Undergraduate Mathematics ◽  
Mathematical Methods ◽  
Closure Properties ◽  
New Approach ◽  
Irrational Numbers ◽  
Transcendental Numbers ◽  
Dedekind Cuts ◽  
Mathematics Research

In the article 'There are Truth and Beauty in Undergraduate Mathematics Research’, the author posted a problem regarding the closure properties of irrational and transcendental numbers under addition and multiplication. In this study, we investigate the problem using elementary mathematical methods and provide a new approach to the closure properties of irrational numbers. Further, we also study the closure properties of transcendental numbers. KEYWORDS: Irrational numbers; Transcendental numbers; Dedekind cuts; Algebraic numbers

scholarly journals COURSE IN LEGAL STATISTICS AS A MEANS TO PREPARE RF INTERIOR MINISTRY UNIVERSITY GRADUATES FOR USE OF MATHEMATICAL METHODS IN INFORMATION ANALYSIS

2021 ◽  
Vol 55 (1) ◽  
pp. 36-46
Author(s):  
E.Yu. LARIONOVA ◽  
◽  
Yu.E. GOLODKOV ◽  
V.I. DEMAKOV ◽  
Ya.A. PORTNAYA ◽  
...  
Keyword(s):  
Law Enforcement ◽  
Professional Competence ◽  
Mathematical Statistics ◽  
Basic Knowledge ◽  
University Graduates ◽  
Mathematical Methods ◽  
Law Enforcement Agencies ◽  
Analysis And Synthesis ◽  
Pedagogical Analysis ◽  
Legal Statistics

Statement of the problem. The relevance of the study is due to the fact that at present the activities of law enforcement agencies are based on the introduction of a unified system of information and analytical support of the RF Interior Ministry. The effective use of digital technologies depends on the quality of training of legal professionals, in terms of development of their basic knowledge, skills and abilities in the field of computational and analytical activities as the basis for professional thinking development. The purpose of the article is to justify the need to include the basics of the general theory of statistics, probability theory and mathematical statistics in the course of Legal Statistics as a basis and tool for analyzing socio-economic phenomena closely related to the activities of anti-crime law enforcement agencies following the historical and pedagogical analysis of applying statistics in jurisprudence. The research methodology consists of the analysis and synthesis of regulatory documents in the field of higher education (including educational standards of different generations in the areas of legal training implemented in the RF Interior Ministry universities), the history of teaching the course in Legal Statistics, as well as scientific and pedagogical literature. Research results. The study shows that the content of the course in Legal Statistics for students in legal specialization should include not only branch norms, but also the basics of the theory of probability and mathematical statistics. The fundamental nature of mathematical training helps to develop the basic grounds of professional thinking among specialists of the Russian law enforcement system. Conclusions. The study methodology made it possible to clarify the need for teaching mathematical fundamentals (including the elements of the theory of probability and mathematical statistics) while teaching Legal Statistics. This contributes to a higher level of professional competence among RF Interior Ministry graduates of higher educational institutions, their readiness to apply mathematical calculations in analytical activities.

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