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Journal articles on the topic 'Mathematical package'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Vasileva, Natalia, Vladimir Grigorev-Golubev, and Irina Evgrafova. "Mathematical programming in Mathcad and Mathematica." E3S Web of Conferences 419 (2023): 02007. http://dx.doi.org/10.1051/e3sconf/202341902007.

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An article generalizes the long-term work of authors with packages of applied mathematical programs. It discusses and demonstrates the features and methods of solution of mathematical tasks in mathematical package Mathcad and Mathematica: from the simplest ones, included in the set of typical problems of mathematical disciplines for training specialists for shipbuilding, to complex computational tasks and applied problems of professional orientation, which require the construction of a mathematical model and analysis of the results obtained. The examples show the solution of mathematical probl

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Sajeev Rattan Sharma and Tarsem Chand. "Mathematical Model for Perforation Effect on Modified." Journal of Agricultural Engineering (India) 47, no. 4 (2024): 10–22. http://dx.doi.org/10.52151/jae2010474.1421.

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A mathematical model was developed for shelled pea packaged in simulated modified atmosphere packages of LD100 (low density polyethylene of 100 gauge, 25 micron thick, to evaluate the effect of perforation level on the concentrations of O2 and CO2 and levels of relative humidity inside the package. Experiments were carried out to verify the model results. Perforations resulted in reducing the steady state times of O2 and CO2, and the effect was more pronounced on O2. The increase in number of perforations and decrease in ambient relative humidity predicted a little decrease in relative humidit

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Grigoriev-Golubev, Vladimir, Natalia Vasileva, and Margarita Volodicheva. "Using the Mathematica package in teaching mathematical disciplines." SHS Web of Conferences 141 (2022): 03001. http://dx.doi.org/10.1051/shsconf/202214103001.

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This article analyzes the capabilities of the Wolfram Mathematica computer system, examines the feasibility of using its tools in the study of mathematical disciplines. The authors propose and demonstrate by examples a methodology for building a training course based on the integration of the methods of the discipline being studied and their implementation in the Mathematica environment. The paper explores the practical significance of including the Mathematica toolkit in the training course, which makes it possible to mathematically model various processes in modern society, demonstrate the s

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Praček, Stanislav, Franci Sluga та Klemen Možina. "Mathematical Model for Yarn Unwinding Part ΙΙ: Conic Packages". Advanced Materials Research 403-408 (листопад 2011): 5136–41. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.5136.

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Mathematical modeling can be used to simulate the unwinding of yarn from packages of different shapes. This method can be applied to design packages that can sustain high unwinding velocities at low and steady tension in the yarn. In the case of conic packages the angular velocity of unwinding depends not only on the winding angle as is the case for cylindric packages, but also on the apex angle. We will show that the dimensionless angular velocity depends very little on the apex angle. The apex angle, however, also determines the effective radius of the package at the lift-off point, therefor

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Stanimirović, Predrag S., and Artem Stupin. "Dynamic programming in package Mathematica." ITM Web of Conferences 72 (2025): 01001. https://doi.org/10.1051/itmconf/20257201001.

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Dynamic programming (DP) is a powerful algorithmic technique for solving optimization problems by breaking them down into simpler subproblems. This paper presents an implementation of DP algorithms for two classic optimization problems: the Knapsack problem and the Traveling Salesman Problem (TSP). The solutions are developed and demonstrated using the Mathematica® programming language. For the Knapsack problem, we present two variants: with and without item repetition. The paper describes the mathematical formulation of each variant and provides detailed Mathematica code for their implementat

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Sajeev Rattan Sharma and Tarsem Chand. "Modeling the Effect of Perforations on Modified Atmosphere Packaging of Chopped Carrot." Journal of Agricultural Engineering (India) 45, no. 2 (2008): 9–17. http://dx.doi.org/10.52151/jae2008452.1320.

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A mathematical model was developed for chopped carrot packaged in simulated modified atmosphere LD-l00 (low density polyethylene of 100 gauge thickness) packages to evaluate the effect of perforation level on the concentrations of02and CO2and levels of relative humidity inside the package. The experiments were carried out to verify the model results. Perforations resulted in reducing the steady state times of02and CO2and the effect was more pronounced on 02' The increase in number of perforations and decrease in ambient relative humidity predicted a little decrease in relative humidity within

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Plesken, W., J. Opgenorth, and T. Schulz. "CARAT– a package for mathematical crystallography." Journal of Applied Crystallography 31, no. 5 (1998): 827–28. http://dx.doi.org/10.1107/s0021889897019468.

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Ibroximov, Baxtiyor Toyirjon o'g'li, Rejabboy Valijon oʻgʻli Maʼrufjonov, and Saidakbar Oybek oʻgʻli Gʻulomov. "MODELING OF MATHEMATICAL PHYSICS EQUATIONS." Academic Research Journal 2, no. 2 (2023): 112–18. https://doi.org/10.5281/zenodo.7836068.

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Many processes in modern physics are explained by solving the equations of mathematical physics. These equations are nonlinear differential equations that cannot always be solved analytically. In this work, we solved the equations of mathematical physics using the software package "wolfram mathematica" and analyzed the results.

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Бакушев, С. В. "THE EXPERIENCE OF DIGITAL TRANSFORMATION IN THE STUDY OF THE COURSES “RESISTANCE OF MATERIALS” AND “THEORY OF ELASTICITY” AT THE DEPARTMENT OF “MECHANICS” AT PSUAS." Человеческий капитал 2, no. 12(180) (2023): 136–41. http://dx.doi.org/10.25629/hc.2023.12.49.

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Рассматривается краткая история эволюции используемого на кафедре «Механика» в ПГУАС программно-математического обеспечения персональных компьютеров при изучении курсов сопротивления материалов и теории упругости. Трансформация используемых математических пакетов прошла путь от простейшего математического пакета «Eureka», через популярный и развитый математический пакет MathCAD, к некоммерческим (открытым) математическим пакетам, в частности к пакету Maxima – системе аналитических вычислений Maxima с классплатформенным графическим интерфейсом wxMaxima. В течении времени использования пакета Ma

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Praček, Stanislav, Franci Sluga та Klemen Možina. "Mathematical Model for Yarn Unwinding Part Ι: Cylindrical Packages". Advanced Materials Research 403-408 (листопад 2011): 5131–35. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.5131.

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Stability of the yarn unwinding directly affects the efficiency of the textile production process and the quality of the final product. A package with an optimal shape will result in an optimal shape of the balloon. In addition, the yarn tension will be small and steady even at high unwinding velocity. Computer modeling is a valuable tool in the search for the optimal package shape. We demonstrate a mathematical model for simulating the unwinding from cylindrical and conic packages. We show how the winding angle and the apex angle influence the angular velocity of the yarn during the unwinding

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K Mogensen, Patrick, and Asbjørn N Riseth. "Optim: A mathematical optimization package for Julia." Journal of Open Source Software 3, no. 24 (2018): 615. http://dx.doi.org/10.21105/joss.00615.

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Ochkov, Valery, Inna Vasileva, Konstantin Orlov, Julia Chudova, and Anton Tikhonov. "Visualization in Mathematical Packages When Teaching with Information Technologies." Mathematics 10, no. 19 (2022): 3413. http://dx.doi.org/10.3390/math10193413.

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A method has been obtained for the use of visualization in computer mathematical packages, which is an effective means of overcoming difficult situations that arise for students when mastering such packages and solving computational problems. Depending on the complexity of the problem being solved, either the teacher or the students themselves can create special visual graphic (animation) objects. Such objects allow, initially without going into the intricacies of the functioning of the package and the mathematical apparatus used, to competently describe a complete picture of a difficult situa

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Ovchinnikov, V. A., V. A. Trudonoshin, and V. G. Fedoruk. "Incorrect Simulation Results in OpenModelica." Mathematics and Mathematical Modeling, no. 3 (September 20, 2020): 43–51. http://dx.doi.org/10.24108/mathm.0320.0000234.

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An adequacy of mathematical modelling of the technical object dynamics is always a challenge, and a user can make up his mind about the modelling package using simple test schemes. The article presents the schemes that are quite common from the point of view of an inexperienced user, but have specifics in mathematical modelling. The features of the schemes are that therein failures of equilibrium equations (such as the first Kirchhoff law) and continuity (such as the second Kirchhoff law) can occur. These features can lead to incorrect results when using the OpenModelica package, while the dom

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Блонский, А. В. "A software package for the simulation of fluid flows in discrete fracture networks with vugs." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 4 (December 18, 2018): 405–15. http://dx.doi.org/10.26089/nummet.v19r436.

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Представлен программный комплекс для математического моделирования течений в дискретных системах трещин. Описана математическая модель течения, приведено краткое изложение вычислительных алгоритмов и сформулированы особенности программной реализации. Рассмотрена структура разработанного программного комплекса, обсуждаются аналогичные программные комплексы и указаны их отличия от представленного в настоящей статье. На ряде задач продемонстрирована работоспособность предложенных в статье математической модели, алгоритмов и программного комплекса. A software package for the mathematical simulatio

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Kucharek, Mariusz, Liu Yang, and Kaibao Wang. "Assessment of insulating package performance by mathematical modelling." Packaging Technology and Science 33, no. 2 (2020): 65–73. http://dx.doi.org/10.1002/pts.2492.

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Vilenskii, O., S. Dushev, D. Lapshin, E. Novinskii, and A. Tatarskii. "MATHEMATICAL ANALYSIS OF AIRCRAFT TURBINE COLLISION WITH SHIPPING PACKAGE." PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. SERIES: NUCLEAR AND REACTOR CONSTANTS 2021, no. 3 (2021): 106–22. http://dx.doi.org/10.55176/2414-1038-2021-3-106-122.

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The aim of the paper is to substantiate the developed shipping package integrity on the basis of mathematical analysis of postulated scenarios for the heaviest dynamic effects using verified behavior models for applied structural materials and modern certified finite element software package. The shipping package is permitted to transfer to the limiting condition in the result of impact, when its further operation is not acceptable, and recovery of its functional condition is not expedient, excluding the possibility of falling out of the nuclear fuel (NF) or distortion of the relative position

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Talasila, P. Chowdary, Arthur C. Cameron, and Dennis W. Joles. "236 RESPIRATION AND TEMPERATURE VARIATION EFFECTS ON MA PACKAGING OF STRAWBERRIES AND RASPBERRIES." HortScience 29, no. 5 (1994): 463c—463. http://dx.doi.org/10.21273/hortsci.29.5.463c.

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Natural variation of product respiration rate and temperature variation during shipping and marketing influence the atmosphere inside MA packages. Respiration rate variation data was collected at 0C and 5.5C for `Allstar' and `Honeoye' strawberries and at 5.5C for `Heritage' raspberries. Coefficient of variation was 8% for raspberries and ranged from 6.5% to 12.5% for strawberries. To determine package-to-package variations, steady-state O2 partial pressures were measured in 100 similarly designed packages and frequency distributions were constructed. For `Honeoye' variety, `O2 partial pressur

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Hubal, Halyna. "LATEX SYSTEM IN DISTANCE LEARNING OF THE PROBABILITY THEORY." Grail of Science, no. 33 (November 20, 2023): 244–48. http://dx.doi.org/10.36074/grail-of-science.10.11.2023.38.

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Article discusses the main issues for writing interactive mathematical tests in the LaTeX system. The LaTeX system is convenient to use for writing interactive mathematical tests in distance learning. We use the eqExam package, the AcroTeX eDucation Bundle package, the turnthepage package in order to write interactive mathematical tests, for example tests on the probability theory. For this, we create (tasks) of the “True/False” type, the “Short Answer” type, the “Essay” type (“Specifying a Definition”, “Justification of a Theoretical Hypothesis”) and the “Multiple Choice” type.

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Ziyatdinov, N. N., I. I. Emelyanov, A. A. Ryzhova, and P. S. Chernakov. "Algorithm and software for the optimal technological design of a system of simple distillation columns." Fine Chemical Technologies 16, no. 5 (2021): 379–89. http://dx.doi.org/10.32362/2410-6593-2021-16-5-379-389.

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Objectives. The formalized problem of the optimal design of distillation column systems belongs to the class of mixed integer nonlinear program problems. Discrete search variables are the number of trays in the rectifying and stripping sections of columns, whereas the continuous ones are the operating modes of columns. This study aimed to develop an algorithm and a software package for the optimal technological design of a system of simple distillation columns based on the criterion of total reduced capital and energy costs using rigorous mathematical distillation models.Methods. The solution

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Aparicio, Yohan A., and Manuel Jimenez. "Mathematical Modeling of SOIC Package Dynamics in Dielectric Fluids during High-Voltage Insulation Testing." Applied Sciences 14, no. 9 (2024): 3693. http://dx.doi.org/10.3390/app14093693.

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The efficient testing and validation of the high-voltage (HV) insulation of small-outline integrated circuit (SOIC) packages presents numerous challenges when trying to achieve faster and more accurate processes. The complex behavior these packages when submerged in diverse physical media with varying densities requires a detailed analysis to understand the factors influencing their behavior. We propose a systematic and scalable mathematical model based on trapezoidal motion patterns and a deterministic analysis of hydrodynamic forces to predict SOIC package misalignment during automated high-

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Mlynko, Oksana, Roman Musii, and Rostyslav Nakonechnyi. "Mathematical modeling and research of optimal cutting of cardboard packaging." Physico-mathematical modelling and informational technologies, no. 31 (July 14, 2021): 42–50. http://dx.doi.org/10.15407/fmmit2021.31.042.

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A mathematical model describing the goal function is suggested. Its arguments are the geometric parameters of a particular type of cardboard packaging. The goal function is studied to the extreme to determine their optimal values at the lowest cardboard consumption. The optimal geometric parameters for prismatic packages of a given volume have been found. The unification of components of this prismatic packaging is performed. The dependence of the packaging material area on the values of geometric parameters of a specific prismatic package is numerically analyzed.

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Senger, Elizabeth S., Sara B. Platte, and Julie Van Zandt. "Mathematical Meaning in Context." Teaching Children Mathematics 3, no. 7 (1997): 362–66. http://dx.doi.org/10.5951/tcm.3.7.0362.

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The thousand paper cranes that had been hanging from light fixtures in our Baton Rouge. Louisiana, classroom flew to Japan as a symbol of peace. The peace package resulted from a team-teaching effort involving origami, children's literature. Japanese culture, and a focus on social issues.

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Лузянина, Т., та T. Luzyanina. "Численный бифуркационный анализ математических моделей с запаздыванием по времени с использованием пакета программ DDE-BIFTOOL". Mathematical Biology and Bioinformatics 12, № 2 (2017): 496–520. http://dx.doi.org/10.17537/2017.12.496.

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Mathematical modeling with delay differential equations (DDEs) is widely used for analysis and making predictions in various areas of the life sciences, e.g., population dynamics, epidemiology, immunology, physiology, neural networks. The time delays in these models take into account a dependence of the present state of the modeled system on its past history. The delay can be related to the duration of certain hidden processes like the stages of the life cycle, the time between infection of a cell and the production of new viruses, the duration of the infectious period, the immune period and s

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SURGULADZE, LEVAN R. "COMPUTER PROGRAMS FOR ANALYTICAL PERTURBATIVE CALCULATIONS IN HIGH ENERGY PHYSICS." International Journal of Modern Physics C 05, no. 06 (1994): 1089–101. http://dx.doi.org/10.1142/s0129183194001161.

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A short review of the present status of computer packages for the high order analytical perturbative calculations is presented. The mathematical algorithm and the quantum field theory methods used are briefly discussed. The most recent computer package HEPLoops for analytical computations in high energy physics up to four-loops is also discussed.

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KOVBA, Nataliya, and Anastasia KOVBA. "FEATURES OF THE APPLICATION OF THE SCILAB MATHEMATICAL PACKAGE IN THE PROCESS OF TEACHING THE DISCIPLINE «HIGHER MATHEMATICS»." Dnipro Academy of Continuing Education Herald. Series: Philosophy, Pedagogy, Vol. 2 No. 2 (2023) (December 29, 2023): 53–55. http://dx.doi.org/10.54891/2786-7013-2023-2-12.

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The article notes that the choice of software is of great importance in teaching the discipline «Higher Mathematics». The complexity and type of tasks to be solved depend on the functionality of the selected program. It is emphasised that the methods of approximate, primarily numerical, solution are used. The methods of numerical solution of mathematical problems have always been an integral part of mathematics and have always been part of the content of natural-mathematical and engineering education. This article uses the Skilab math package as software. It is a multi-functional package desig

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Puadah, Peni Fauziah, Suhendra Suhendra, and Angga Hidayat. "METACOGNITION OF YEAR 12 PACKAGE C LEARNERS ON PERMUTATION." Kalamatika: Jurnal Pendidikan Matematika 8, no. 2 (2023): 237–46. http://dx.doi.org/10.22236/kalamatika.vol8no2.2023pp238-250.

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One of the levels in the thinking process that students can use to solve problems is metacognition. Metacognition encourages students to realize and control their thinking process. Metacognition skills are needed to support students' independent learning process, one of which is in the learning process carried out in the Equivalency Education program. This study aims to describe the metacognition skills of Year 12 students on permutation and combination. This descriptive qualitative research was conducted at a Community Learning Center in Bandung, involving 12 subjects. The instruments used in

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Li, Ke, Qi Qi Geng, and Zhen Yan Zheng. "New Design of LED Package Based on Mathematical Model." Applied Mechanics and Materials 608-609 (October 2014): 226–30. http://dx.doi.org/10.4028/www.scientific.net/amm.608-609.226.

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In twenty-first century of the fierce competition, the employment of college students struggles, graduation of many college students means unemployment. Under such a historical background, this paper scientifically evaluates on college students personal ability based, by using way of studying the chart data and the from of contrasts. The key of this paper is to help students to make up for the lack of ability through evaluation results of mathematical model. In addition, I also hope hat the mathematical comprehensive evaluation model of personal ability is used to nature, science, social and e

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Zhiqin Huang, Qinghong Liu, Linyan Lv, and Ting Yan. "Efficient LED Package Design Scheme Based on Mathematical Model." International Journal of Advancements in Computing Technology 5, no. 5 (2013): 191–98. http://dx.doi.org/10.4156/ijact.vol5.issue5.23.

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Kobayashi, Toshinori. "Sleep package model mathematical model for a sleep pattern." Computers & Industrial Engineering 27, no. 1-4 (1994): 385–88. http://dx.doi.org/10.1016/0360-8352(94)90315-8.

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Kozak, R. O., and I. I. Kusniak. "Modeling of the plywood making process glued with thermoplastic polymer." Forestry, Forest, Paper and Woodworking Industry 45 (December 30, 2019): 95–98. http://dx.doi.org/10.36930/42194511.

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A promising variety of the wood composite materials is plywood glued with thermoplastic polymers. However, making such a wood composite requires adjustment of the pressing modes, because there is a slightly difference between the hot method of the veneer packages pressing glued with thermoplastic films and the method of the veneer packages pressing glued with thermosetting adhesives. Among the main processes that occur in the gluing plywood process are heat and mass transfer. The availability of the thermoplastic film between the veneer sheets is going to change the thermal conductivity of the

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Park, Eo Jin, Soo Yeon Jung, Su Chan Kim, Dong Sun Lee, and Duck Soon An. "Modified atmosphere packaging of flounder fillet: Modelling of package conditions and comparison of different flushing atmospheres for quality preservation." International Food Research Journal 30, no. 6 (2023): 1519–27. http://dx.doi.org/10.47836/ifrj.30.6.14.

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Modified atmosphere packaging (MAP) flushed in high CO2 concentration with high gas barrier layer is often applied to preserve fish at chilled temperatures. Dissolution of CO2 in fish product results in changes from the original CO2 concentration and volume of packages. Maintenance of the desired CO2 concentration under appropriate package volume is required for realising effectiveness in fish preservation and handling through distribution channel. In the present work, mathematical model for estimating package gas compositional changes along with volume decrease was developed by incorporating

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Shuvalova, L., and A. Valiullin. "The use of mathematical software package for solving integral equations." Bulletin of Science and Practice, no. 12 (December 11, 2017): 13–18. https://doi.org/10.5281/zenodo.1101125.

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The method of mechanical quadratures for solving integral equations with the numerical realization of mathematical package MathCad. Constructed interpolation polynomial approximating the desired function. The authors propose a program that allows you to automatically find approximate solutions of integral equations and other basic data. Calculations, made in the program make it possible to minimize the error by a special selection of mesh nodes.

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Trofimets, Elena. "Innovative methods and technologies while examining equations of mathematical physics." Journal of Physics: Conference Series 2373, no. 6 (2022): 062005. http://dx.doi.org/10.1088/1742-6596/2373/6/062005.

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Abstract Teaching disciplines of physics and mathematics in the age of information technology requires innovative teaching methods application. These methods complement traditional forms; they are aimed at developing the systematic and creative thinking of students. The disciplines of the physical and mathematical profile include such discipline as “Equations of Mathematical Physics”. They help students develop skills in creating mathematical models of physical processes and phenomena. It is advisable to apply software packages to create computer models of situational problems when studying th

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Fursenko, Oleksandr, Nataliya Chernovol, and Halyna Antonenko. "Mathematical simulation of combat actions on two encounters using dynamic programming and Wolfram Mathematica package." Military Technical Collection, no. 29 (December 28, 2023): 71–81. http://dx.doi.org/10.33577/2312-4458.29.2023.71-81.

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The work is devoted to the important task of modeling combat operations at various areas of the conflict with the possibility of redistribution of combat resources during the battle. The problem of dynamic programming is formulated with the objective function as a function of the enemy's losses. This function is determined using the system of differential equations of Lanchester in the conditions of "highly organized" combat. In the work, using the Wolfram Mathematica package, a computer implementation of the solution to the problem of finding the optimal number of combat units, which should b

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Ulitinas, Tomas, and Stanislovas Kalanta. "OPTIMIZATION OF TRUSS HEIGHT." Mokslas - Lietuvos ateitis 2, no. 6 (2010): 56–60. http://dx.doi.org/10.3846/mla.2010.112.

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The article analyzes the task in truss height and in the optimization of the cross-sections of their elements. Element cross-sections are designed of steel profiles considering requirements for strength, stability and rigidity. A mathematical model is formulated as a nonlinear mathematical programming problem. It is solved as an iterative process, using mathematical software package “MATLAB” routine “fmincon”. The ratio of buckling is corrected in the each iteration. Optimization results are compared with those obtained applying software package “Robot Millennium”.

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GĂRĂJEU, DANIELA, and MIHAIL GĂRĂJEU. "MATHEMATICA™ PACKAGES FOR COMPUTING PRINCIPAL DECOMPOSITIONS OF SIMPLE LIE ALGEBRAS AND APPLICATIONS IN EXTENDED CONFORMAL FIELD THEORIES." International Journal of Modern Physics C 14, no. 01 (2003): 1–27. http://dx.doi.org/10.1142/s012918310300419x.

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In this article, we propose two Mathematica™ packages for doing calculations in the domain of classical simple Lie algebras. The main goal of the first package, [Formula: see text], is to determine the principal three-dimensional subalgebra of a simple Lie algebra. The package provides several functions which give some elements related to simple Lie algebras (generators in fundamental and adjoint representation, roots, Killing form, Cartan matrix, etc.). The second package, [Formula: see text], concerns the principal decomposition of a Lie algebra with respect to the principal three-dimensiona

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da, Fonseca, and Victor Kowalenko. "On a finite sum with powers of cosines." Applicable Analysis and Discrete Mathematics 7, no. 2 (2013): 354–77. http://dx.doi.org/10.2298/aadm130822018d.

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A formula for the finite sum of powers of cosines with fractional multiples of ?/2, viz. S(n,m) = ?m, k=1 (-1)k cos2n (k? / (2m + 2)), where m and n are arbitrary positive integers, is derived. In the process new and interesting mathematical results are uncovered, particularly with regard to the Bernoulli and Euler polynomials, while other related series are discussed. It is found that the series always yields rational values, which can only be evaluated by using the integer arithmetic routines in a mathematical software package such as Mathematica.

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Rodrigues, Kévin Allan Sales. "greekLetters: Routines for Writing Greek Letters and Mathematical Symbols on the RStudio and RGui." Journal of Behavioral Data Science 4, no. 2 (2024): 1–6. http://dx.doi.org/10.35566/jbds/rodrigues.

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Khalilov, A. T., K. S. Ishenova, and A. A. Kambarov. "METHODS FOR PROCESSING STATISTICAL DATA USING MICROSOFT EXCEL." Vestnik Bishkek state university af K Karasaev 71, no. 1 (2025): 94–103. https://doi.org/10.35254/bsu/2025.71.15.

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This article examines statistical data processing methods using Microsoft Excel's “Data Analysis” package and “Regression” tool. This study analyzes two-factor statistical indicators and the in-depth relationship between dependent and independent factors. This study applied correlation and regression analyses to medical data to explore the connection between the heart rate and breathing rate. The results show that Excel tools are more effective than calculators or individual-program operators for statistical analysis. The methodology benefits specialists working in various fields with statisti

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Polosin, A. N. "SOFTWARE PACKAGE AND MATHEMATICAL MODELS FOR DESIGN OF POLYMER COEXTRUSION." Mathematical Methods in Technologies and Technics, no. 11 (2021): 41–46. http://dx.doi.org/10.52348/2712-8873_mmtt_2021_11_41.

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Zahavi, J. "Energy supply modelling package Efom-12C Mark I; Mathematical description." European Journal of Operational Research 21, no. 3 (1985): 412–13. http://dx.doi.org/10.1016/0377-2217(85)90164-x.

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Pashah, S. "On the Use of Commercial Finite Element Packages for a Dimensionless Solution to a Class of Problems." Computational and Mathematical Methods 2023 (May 12, 2023): 1–15. http://dx.doi.org/10.1155/2023/4839057.

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Physical laws provide a mathematical description of a physical phenomenon. The mathematical description is generally in the form of differential equations with appropriate initial and boundary conditions, called initial boundary value problems. The dimensionless form of an initial boundary value problem is the first step for the solution to a class of problems. The approach is generally applied for closed-form (or analytical) solutions, whereas practical engineering problems can only be solved numerically. Commercial finite element packages are commonly used for the numerical solution of engin

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Vasyl, Pasichnyi, Shevchenko Oleksandr, Khrapachov Oleg, et al. "PROGNOSTICATION OF STORAGE TERMS FOR PASTEURIZED SAUSAGES WITH ACTIVE PACKAGE ELEMENTS." EUREKA: Life Sciences, no. 4 (July 31, 2020): 34–43. https://doi.org/10.21303/2504-5695.2020.001376.

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The work is devoted to optimization modeling of an influence of pasteurization with oxygen absorbers on spoilage processes of lipids of boiled sausage products. According to the results, the influence on changes of peroxide and acid numbers of lipids of small sausages, pasteurized at presence of an oxygen absorber, has been mathematically prognosticated. At mathematical modeling, mathematic packages MathCad and «Data analysis» (ЕТ) MSExcel were used. The experiment was planned according to the plan of full factorial experiment. The dependence as to the influence of the recipe compo

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Pasichnyi, Vasyl, Oleksandr Shevchenko, Oleg Khrapachov, et al. "PROGNOSTICATION OF STORAGE TERMS FOR PASTEURIZED SAUSAGES WITH ACTIVE PACKAGE ELEMENTS." EUREKA: Life Sciences 4 (July 31, 2020): 34–43. http://dx.doi.org/10.21303/2504-5695.2020.001376.

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The work is devoted to optimization modeling of an influence of pasteurization with oxygen absorbers on spoilage processes of lipids of boiled sausage products. According to the results, the influence on changes of peroxide and acid numbers of lipids of small sausages, pasteurized at presence of an oxygen absorber, has been mathematically prognosticated. At mathematical modeling, mathematic packages MathCad and «Data analysis» (ЕТ) MSExcel were used. The experiment was planned according to the plan of full factorial experiment. The dependence as to the influence of the recipe composition of sa

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Janzakov Bekzot Kulmamat ugli. "Analysing Tourism Expenses Using Mathematical Modelling." European Journal of Artificial Intelligence and Digital Economy 1, no. 1 (2023): 7–12. http://dx.doi.org/10.61796/jaide.v1i1.153.

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The article considers the ways a potential tourist would spend his/ her funds in three-day tour package in Samarkand city. For this purpose, a mathematical simulation model based on Monte Carlo method was used. As a result of the analysis, it was found that the total expenses of tourists were greatly influenced by the costs of transport and food.

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Ugli, Janzakov Bekzot Kulmamat, Sultonov Beknazar, Umirov Islombek, Utkirov Aslbek, and Tursunboyev Madamin. "Analysing Tourism Expenses using Mathematical Modelling." European Journal of Contemporary Business Law & Technology: Cyber Law, Blockchain, and Legal Innovations 1, no. 2 (2023): 29–34. http://dx.doi.org/10.61796/ejcblt.v1i2.91.

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The article considers the ways a potential tourist would spend his/ her funds in three-day tour package in Samarkand city. For this purpose, a mathematical simulation model based on Monte Carlo method was used. As a result of the analysis, it was found that the total expenses of tourists were greatly influenced by the costs of transport and food.

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Wang, Bao Feng. "Analysis for Packet Dropout in State Estimation Problem over Sensor Network." Applied Mechanics and Materials 568-570 (June 2014): 523–27. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.523.

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In this paper, we discuss the data losses problem in state estimation process. In sensor network, due to the energy constrained and communication constrained, the system suffering varying data dropped problem, which include independent package dropped, related dropped in single data package transmission processing and partial package dropout in multiple data package transmission processing. Based on the proposed state estimation over sensor network model, the corresponding mathematical models are built and analyzed.

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Bohdanov, O., and V. Grigorenko. "Using applied program packages in determining optimum cutting modes." Collection of Research Papers of the National Mining University 72 (March 2023): 194–201. http://dx.doi.org/10.33271/crpnmu/72.194.

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Purpose. Comparison of the functionality of application program packages when determining optimal cutting modes during mechanical processing. Creation of a mathematical model with technological limitations when boring a shaft in one pass and carrying out calculations. The methods. Research methods were based on the principles of optimization of cutting processes, the theory of cutting and cutting tools, standard methods of determining correction factors were used when creating technological limitations. The smallest machine processing time is chosen as the objective function. Using the functio

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Sorokin, M., V. Huzenko, and Y. Khandola. "MODEL OF THREE-PHASE ASYNCHRONOUS MOTOR WITH SHORT CIRCUIT ROTOR IN MATLAB PACKAGE." Municipal economy of cities 6, no. 187 (2024): 24–28. https://doi.org/10.33042/2522-1809-2024-6-187-24-28.

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The presented paper examines the specifics of researching the mathematical apparatus of the model of a three-phase АМ with a short-circuited rotor in the matlab package. It has been proven that three-phase АМ with a short-circuited rotor form the basis of a modern electric drive in many branches of industry, agro-industrial complex and transport. A model was developed in the matlab package, which describes the operation of a frequency-regulated electric drive, taking into account theoretical analysis and experimental studies. In the scientific work, the task of combining mathematical modeling

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Kim, Heungseob. "Mixed-Integer Linear Programming Model by Linear Approximation for a Strike Package-to-Target Assignment Problem." Mathematical Problems in Engineering 2021 (April 21, 2021): 1–12. http://dx.doi.org/10.1155/2021/6631274.

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This study deals with an aircraft-to-target assignment (ATA) problem considering the modern air operation environment, such as the strike package concept, multiple targets for a sortie, and the strike packages’ survivability. For the ATA problem, this study introduces a novel mathematical model in which a heterogeneous vehicle routing problem (HVRP) and a weapon-to-target assignment (WTA) problem are conceptually integrated. The HVRP generates the flight routes for strike packages because this study confirms that the survivability of a strike package depends on the path, and the WTA problem ev

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