МЕХАНИКАЛЫҚ ЖӘНЕ ЭЛЕКТРОМАГНИТТІК ТЕРБЕЛІСТЕРДІ ҮЙРЕТУДЕ КОМПЬЮТЕРЛІК МОДЕЛЬДЕУДІ МЕКТЕПТЕ ҚОЛДАНУ – ЗАМАН ТАЛАБЫ

2021 ◽  
pp. 128-138
Author(s):  
Айнакул Капасовна Ершина ◽  
Салтанат Раушанкызы Менеш
Keyword(s):  
Wolfram Mathematica

Мақалада қазіргі оқыту жүйесінде физика сабақтарында ақпараттық технологияларды, соның ішінде компьютерлік модельдеу технологиясы арқылы оқытудың алғышарттары, ерекшеліктері қарастырылған. Физиканың механика тарауындағы маңызды бөлім «Электромагниттік және механикалық тербелістерді» барынша түсінікті оқыту үшін тербелістердің графиктері мен үш өлшемді (3D) нобайларын көрнекі сипатта түсіндірудің жолдарының кең мүмкіндіктері талданды. Осы арқылы оқушыларды жаңа технологиялармен жұмыс жасауға бейімдеуге және ғылыми зерттеулердің жаңа әрі басым бағыты компьютерлік модельдеу жұмыстарының алғашқы командалық жұмыстары қарастырылды. Оқытудың технологиялық ресурсы ретінде – Wolfram Mathematica атты компьютерлік бағдарламасы қолданылып, осы бағдарлама негізінде тербелістерді оқытудың кезеңдері жүйеленіп көрсетілді. Сонымен қатар, физика сабағында оқушылар ақпараттық технологиялар жұмыс жасап, бір жағынан физикалық құбылыстардың сипатына идеал модель негізінде зер салып, олардың түрлі-түсті көрінісіне ерекше назар аударып, тербелісті сипаттайтын физикалық шамалардың арасындағы тәуелділік қатынастарын да ажыратуына болады. Мұндай заман ағымына дес бермес технология көмегімен информатика және қазіргі ғылым тілі – ағылшын тілімен кіріктіре оқыту әдісі де қатар жүреді. Компьютерлік модельдеуді механикалық және электромагниттік тербелістерді оқытуда қолдану физикалық құбылыстарды да тереңінен түсіндіруге және оқушылардың танымдық қабілетін дамытуға мүмкіндік бар.

scholarly journals Traffic model for the interconnection of networks and operators using MPLS-TE

2017 ◽  
Vol 26 (44) ◽  
pp. 85 ◽  
Author(s):  
Carlos Mario Restrepo ◽  
Octavio José Salcedo-Parra ◽  
Juan Manuel Sánchez-Céspedes
Keyword(s):  
Traffic Engineering ◽  
Service Providers ◽  
Global Model ◽  
Traffic Model ◽  
Telecommunication Service ◽  
Model Output ◽  
New Model ◽  
Traffic Models ◽  
Wolfram Mathematica ◽  
Study Case

In this paper, the main features of MPLS Traffic Engineering are presented to illustrate how telecommunication service providers use them to create interconnections between each other in order to offer telecom services satisfying QoS commitments. Based on previous traffic models, a new model, which deals with traffic queue balancing for different Classes of Service, and for a provider using another provider´s network is presented. The model output shows that carrying another operator’s traffic may increase delays in an undesirable manner, forcing the carrier to increase the serving rate of LSRs until Utilization is below 60 %. In order to validate the model, a number of network scenarios are implemented in the Wolfram Mathematica 10.1 Study Version, based on study case configurations of an MPLS network. The total global model is useful for future implementation of test-beds of interconnected providers under an MPLS environment.

Descriptive Geometry Problems Visualization by Wolfram Mathematica

2021 ◽  
Vol 8 (4) ◽  
pp. 74-84
Author(s):  
S. Ignat'ev ◽  
A. Folomkin ◽  
E. Muratbakeev
Keyword(s):  
Teaching Practice ◽  
Educational Process ◽  
Ability To Work ◽  
Source Codes ◽  
Traditional Course ◽  
Wolfram Mathematica ◽  
Educational Institute ◽  
Software Product ◽  
Space Construction ◽  
High Educational

The possibilities of Wolfram Mathematica (WM), which is a package of symbolic mathematics, are endless. In this paper are investigated the possibilities of WM software product contextualization in the process of geometric-graphic teaching of students; is considered the experience for using a set of WM computational algorithms in teaching practice. The source codes and output data of our own WOLFRAM projects are offered, which are illustrative, in the form of interactive graphs, visualization of the solution for one of DG course’s basic problems on construction of points A, B, C and D, given by coordinates in space; construction a plane of general position passing through points A, B and C; determining positions of these points and the constructed plane in space; and also on determining the point D belonging to this plane. Have been presented examples of several of the existing WOLFRAM projects in the form of interactive graphs used in teaching. The study of applied issues and the ability to translate a professional problem into mathematical language, working in WM, provides a student with an opportunity to assimilate the necessary competencies. Interactive visualization of solving DG problems, which can be carried out using WM, together with traditional problem solving, enriches the content of geometric education, introduces new opportunities in organization of the educational process, allows stimulate, maintain and increase students' interest in studying the discipline and further research in the area of DG. However, the ability to work in WM cannot replace the fundamental knowledge obtained by students of a technical high educational institute from the traditional course, but only complements the DG course by WM acquaintance.

Dynamical Behaviors of Sinusoidal Nanocomposite Plates Subjected to Thermomechanical Loads

2021 ◽  
Author(s):  
Vu Ngoc Viet Hoang ◽  
Dinh Gia Ninh
Keyword(s):  
Thermal Environment ◽  
Plate Theory ◽  
Micromechanical Model ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Rectangular Plates ◽  
Sine Function ◽  
Classical Plate Theory ◽  
Wolfram Mathematica ◽  
Number Of Cycles

In this paper, a new plate structure has been found with the change of profile according to the sine function which we temporarily call as the sinusoidal plate. The classical plate theory and Galerkin’s technique have been utilized in estimating the nonlinear vibration behavior of the new non-rectangular plates reinforced by functionally graded (FG) graphene nanoplatelets (GNPs) resting on the Kerr foundation. The FG-GNP plates were assumed to have two horizontal variable edges according to the sine function. Four different configurations of the FG-GNP plates based on the number of cycles of sine function were analyzed. The material characteristics of the GNPs were evaluated in terms of two models called the Halpin–Tsai micromechanical model and the rule of mixtures. First, to verify this method, the natural frequencies of new non-rectangular plates made of metal were compared with those obtained by the Finite Element Method (FEM). Then, the numerical outcomes are validated by comparing with the previous papers for rectangular FGM/GNP plates — a special case of this structure. Furthermore, the impacts of the thermal environment, geometrical parameters, and the elastic foundation on the dynamical responses are scrutinized by the 2D/3D graphical results and coded in Wolfram-Mathematica. The results of this work proved that the introduced approach has the advantages of being fast, having high accuracy, and involving uncomplicated calculation.

scholarly journals On the exact and numerical solutions to a nonlinear model arising in mathematical biology

2018 ◽  
Vol 22 ◽  
pp. 01061 ◽  
Author(s):  
Asif Yokus ◽  
Tukur Abdulkadir Sulaiman ◽  
Haci Mehmet Baskonus ◽  
Sibel Pasali Atmaca
Keyword(s):  
Analytical Solutions ◽  
Numerical Solutions ◽  
Soliton Solutions ◽  
Hyperbolic Function ◽  
Von Neumann ◽  
Convection Diffusion Equation ◽  
Wolfram Mathematica ◽  
Forward Difference ◽  
Von Neumann Analysis ◽  
The Stability

This study acquires the exact and numerical approximations of a reaction-convection-diffusion equation arising in mathematical bi- ology namely; Murry equation through its analytical solutions obtained by using a mathematical approach; the modified exp(-Ψ(η))-expansion function method. We successfully obtained the kink-type and singular soliton solutions with the hyperbolic function structure to this equa- tion. We performed the numerical simulations (3D and 2D) of the obtained analytical solutions under suitable values of parameters. We obtained the approximate numerical and exact solutions to this equa- tion by utilizing the finite forward difference scheme by taking one of the obtained analytical solutions into consideration. We investigate the stability of the finite forward difference method with the equation through the Fourier-Von Neumann analysis. We present the L2 and L∞ error norms of the approximations. The numerical and exact approx- imations are compared and the comparison is supported by a graphic plot. All the computations and the graphics plots in this study are car- ried out with help of the Matlab and Wolfram Mathematica softwares. Finally, we submit a comprehensive conclusion to this study.

scholarly journals Bridging Symbolic Computation and Economics: A Dynamic and Interactive Tool to Analyze the Price Elasticity of Supply

2019 ◽  
Vol 24 (4) ◽  
pp. 87 ◽  
Author(s):  
Jorge M. Andraz ◽  
Renato Candeias ◽  
Ana C. Conceição
Keyword(s):  
Digital Technology ◽  
Computer Algebra System ◽  
Educational Software ◽  
Distributed Application ◽  
Student Activity ◽  
Wolfram Mathematica ◽  
Interactive Tool ◽  
Teachers And Students ◽  
Theoretical Results ◽  
Document Format

It is not possible to achieve the objectives and skills of a program in economics, at the secondary and undergraduate levels, without resorting to graphic illustrations. In this way, the use of educational software has been increasingly recognized as a useful tool to promote students’ motivation to deal with, and understand, new economic concepts. Current digital technology allows students to work with a large number and variety of graphics in an interactive way, complementing the theoretical results and the so often used paper and pencil calculations. The computer algebra system Mathematica is a very powerful software that allows the implementation of many interactive visual applications. Thanks to the symbolic and numerical capabilities of Mathematica, these applications allow the user to interact with the graphical and analytical information in real time. However, Mathematica is a commercially distributed application which makes it difficult for teachers and students to access. The main goal of this paper is to present a new dynamic and interactive tool, created with Mathematica and available in the Computable Document Format. This format allows anyone with a computer to use, at no cost, the PES(Linear)-Tool, even without an active Wolfram Mathematica license. The PES(Linear)-Tool can be used as an active learning tool to promote better student activity and engagement in the learning process, among students enrolled in socio-economic programs. This tool is very intuitive to use which makes it suitable for less experienced users.

scholarly journals The methods for iterative computations efficiency improving in Wolfram Mathematica

2020 ◽  
Vol 2 (95) ◽  
pp. 63-68
Author(s):  
D.О. Zolotariov
Keyword(s):  
Initial Data ◽  
Time Use ◽  
Iterative Algorithms ◽  
Computational Resource ◽  
Machine Code ◽  
Cpu Time ◽  
Intermediate Data ◽  
Wolfram Mathematica ◽  
Preliminary Preparation ◽  
Computer Resources

In article considered and investigated methods for reducing computational resource costs of iterative algorithms in the mathematical processor Wolfram Mathematica that based on preliminary preparation of initial data, management of intermediate data in the execution time, use and specific tuning of built-in functions: export to platform independent formats and dump files, compilation into Wolfram Virtual Machine code and machine code using a C-compiler, loop operators. Their nonobvious capabilities and features are shown. It has been proven that each of them, even individually, can significantlyaffect the reduction of such limited computer resources as amount of RAM and CPU time during calculations.

scholarly journals Geometric and Energetic Data from Ab Initio Calculations of Haloethene, Haloimine, Halomethylphosphine, Haloiminophosphine, Halodiazene, Halodiphosphene and Halocyclopropane

2019 ◽  
Author(s):  
Kridtin Chinsukserm ◽  
Wanutcha Lorpaiboon ◽  
Peerayar Teeraniramitr ◽  
Taweetham Limpanuparb
Keyword(s):  
Ab Initio Calculations ◽  
Ab Initio ◽  
Quantum Chemical ◽  
Theoretical Data ◽  
Geometric Optimization ◽  
Basis Set ◽  
Halogenated Compounds ◽  
Wolfram Mathematica

<p>This article presents theoretical data on geometric and energetic features of halogenated compounds of cyclopropane (∆) and ethene (C=C), imine (C=N), methylphosphine (C=P), iminophosphine (N=P), diazene (N=N) and diphosphene (P=P). The data were obtained from <i>ab initio</i> geometric optimization and frequency calculations at HF, B3LYP, MP2 and CCSD levels of theory on 6-311++G(d,p) basis set. Input structures were generated by shell scripts and run by Q-Chem quantum chemical package. The output files were processed to extract geometric and energetic information by Wolfram Mathematica.</p>

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