scholarly journals Mathematical modeling as a bridge between pure and applied mathematics

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Nelson Hein
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Applied Mathematics ◽  
The Other ◽  
Real Situation ◽  
Mathematical Concepts ◽  
Precise Identification ◽  
The One ◽  
Teaching Situations

It is very common to find systems that include mathematical concepts that can be interpreted in real ones. When it is possible to establish some precise identification of the elements of a system on the one hand, and the phenomena or objects of a real situation, on the other, there is a mathematical model of a real situation. The objective of this paper is to present how this can be built to teaching situations, highlighting the possibilities and limits of technical modeling

scholarly journals A Mathematical Model of the Cognitive Semantics of the English Preposition ON

2020 ◽  
Vol 5 (1) ◽  
pp. 133-153
Author(s):  
Ruswan Dallyono ◽  
Didi Sukyadi ◽  
Lukman Hakim
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Linguistic Analysis ◽  
Integral Function ◽  
The Other ◽  
Cognitive Semantics ◽  
Geometric Representation ◽  
Academic Texts ◽  
The One

This study aims to present a mathematical linguistic analysis in establishing the relations between TRs, LMs, potential senses, and actual senses by using the case of the preposition on found in academic texts under the framework of Trajector (TR) and Landmark (LM) configurations. Data were corpora taken from 10 bachelor’s theses written by Indonesian students. To sort the data, Ant Conc 3.4.1.0 was used to parse clauses or sentences based on the TR-LM configurations. Based on the TR-LM configurations, a mathematical model was developed to discover how these variables are quantitatively related to the number of potential senses produced by using a geometric representation of TR and LM. This study indicates that the relation between TRs and LMs, on the one hand, and the sum of potential senses, on the other, follows the integral function of , which means that the total number of potential senses of Ps equals the integral of TR with respect to LM. Meanwhile, the total number of actual senses, ∑As can be obtained by the integral function of , which equals TR.LM + C where C is -Ls representing the constant of the number of lost senses. This mathematical modeling confirms that TR-LM configurations may be used to generate senses which prove the polysemous nature of prepositions.

scholarly journals Population Behavior in the Mathematical Model of the Spread of COVID19 Type SEIRS

2021 ◽  
Vol 6 (2) ◽  
pp. 83-88
Author(s):  
Asmaidi As Med ◽  
Resky Rusnanda
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Mathematical Model ◽  
Everyday Life ◽  
Applied Mathematics ◽  
Living Things ◽  
Simulation Results ◽  
Parameter Values ◽  
The Mathematical Model ◽  
Disease Free

Mathematical modeling utilized to simplify real phenomena that occur in everyday life. Mathematical modeling is popular to modeling the case of the spread of disease in an area, the growth of living things, and social behavior in everyday life and so on. This type of research is included in the study of theoretical and applied mathematics. The research steps carried out include 1) constructing a mathematical model type SEIRS, 2) analysis on the SEIRS type mathematical model by using parameter values for conditions 1and , 3) Numerical simulation to see the behavior of the population in the model, and 4) to conclude the results of the numerical simulation of the SEIRS type mathematical model. The simulation results show that the model stabilized in disease free quilibrium for the condition  and stabilized in endemic equilibrium for the condition .

scholarly journals Prediction of the propagation of SARS-CoV-2 in Amapá State, Amazon Region, Brazil, by mathematical modeling

2020 ◽  
pp. 73-95
Author(s):  
Neylan Leal Dias ◽  
Edcarlos Vasconcelos da Silva ◽  
Marcelo Amanajas Pires ◽  
Daniel Chaves ◽  
Katsumi Letra Sanada ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Temporal Evolution ◽  
Sir Model ◽  
Amazon Region ◽  
The Other ◽  
Short Term ◽  
Exponential Behavior ◽  
Linear Projection ◽  
The Third ◽  
The One

This article presents an analysis of the spread of SARS-CoV-2 in Amapá using three approaches. In the first, the ICL model for the pandemic applied to Brazil was used to implement a comparative linear projection for the Amapá population. The second approach was developed with the short-term solution of the standard SIR model where it was shown that the typical exponential behavior satisfactorily describes the data for the first weeks of the epidemic, but soon after there are early discrepancies due to a sudden slowdown in the temporal evolution number of cases due to isolation measures. This new regime is appropriately described with the third approach which is based on the vSIR model which is a variant of the SIR model. The results presented enable, on the one hand, a better understanding of the scenarios already faced by the population and on the other hand provide short-term projections that will be constantly updated on the link[11].

Mathematical foundations

2019 ◽  
pp. 1-40
Author(s):  
Max A. Little
Keyword(s):  
Mathematical Modeling ◽  
Machine Learning ◽  
Signal Processing ◽  
Mathematical Models ◽  
Applied Mathematics ◽  
Statistical Machine Learning ◽  
Mathematical Concepts ◽  
The Subject ◽  
Mathematical Foundations

Statistical machine learning and signal processing are topics in applied mathematics, which are based upon many abstract mathematical concepts. Defining these concepts clearly is the most important first step in this book. The purpose of this chapter is to introduce these foundational mathematical concepts. It also justifies the statement that much of the art of statistical machine learning as applied to signal processing, lies in the choice of convenient mathematical models that happen to be useful in practice. Convenient in this context means that the algebraic consequences of the choice of mathematical modeling assumptions are in some sense manageable. The seeds of this manageability are the elementary mathematical concepts upon which the subject is built.

scholarly journals Mathematical Modeling to Perform an Analysis of Social Isolation Periods in the Dissemination of COVID-19

2021 ◽  
Vol 22 (4) ◽  
pp. 595-608
Author(s):  
A. Molter ◽  
R. S. Quadros ◽  
M. Rafikov ◽  
D. Buske ◽  
G. A. Gonçalves
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Social Isolation ◽  
Computer Simulations ◽  
The Other ◽  
Stable Level ◽  
The Social ◽  
The World ◽  
Second Peak

The outbreak of COVID-19 has made scientists from all over the world do not measureefforts to understand the dynamics of the disease caused by this coronavirus. Several mathematical models have been proposed to describe the dynamics and make predictions. This work proposes a mathematical model that includes social isolation of susceptible individuals as a strategy of suppression and mitigation of the disease. The Susceptible-Infectious-Isolated-Recovered-Dead (SIQRD) model is proposed to analyze three important issues about the dynamics of the disease taking into account social isolation: when the isolation should begin? How long to keep the isolation? How to get out of this isolation? To get answers, computer simulations are provided and their results discussed. The results obtained show that beginning social isolation on the 10th or 15th days, after confirmation of the 50th case, and with 70% of the population in isolation, seems to be promising, since the infected curve does not grow much until it enters the isolation and remains at a stable level during the isolation. On the other hand an abrupt release of the social isolation will imply a second peak of infected individuals above the first one, which is not desired. Therefore, the release from social isolation should be gradual.

The Importance of the Knowledge of the Communicative Situation for the Accuracy of Interpretation

2016 ◽  
Vol 5 (6) ◽  
pp. 28-32
Author(s):  
Дубинский ◽  
Vladimir Dubinskiy
Keyword(s):  
The Other ◽  
Real Situation ◽  
The Real ◽  
Other Hand ◽  
The One

An interpreter should be aware of the communicative situation in order to give an adequate interpretation. On the one hand, an interpreter is not responsible for the content of the information to be translated. But on the other hand, he / she is responsible for the accuracy of interpretation. In such a mediative role the knowledge of the communicative situation is of great importance.The article considers the communicative situation as an object of the real intercourse on the basis of the interpretation of reports, speeches, discussions and other conversations, in which the participants of communication are the receivers of information.The knowledge of the situation helps the interpreter understand the speech intentions of the interlocutor and forsee possible utterances. The communicative situation predetermines the real situation which makes it possible for an interpreter to give an adequate translation.

scholarly journals Statistical HR Diagrams for One Hundred and Fifteen Thousand Proper-Motion Stars

1978 ◽  
Vol 80 ◽  
pp. 63-64
Author(s):  
Willem J. Luyten
Keyword(s):  
Proper Motion ◽  
Tangential Velocity ◽  
Complete Data ◽  
The Other ◽  
Proper Motions ◽  
Real Situation ◽  
The Real ◽  
Using Data ◽  
The One ◽  
Hr Diagram

Since regular HR diagrams require apparent magnitudes, colors or spectra, and parallaxes, and such complete data are available for relatively few stars, there may be some advantage in making up diagrams which utilize proper motions instead of parallaxes, and are thus statistically similar to an HR diagram. The reduced proper motion, first used by Hertzsprung, is defined as H = m + 5 + 5log μ, but may also be written as H = M + 5log T, where T is the tangential velocity, and is expressed in astronomical units per year. A diagram plotting H against color will thus contain the considerable dispersion in tangential velocity which is a serious disadvantage. However, this is outweighed by two practical advantages. First the one and the same person who does the proper motion survey can, and does also determine the other two quantities needed. Second, when using data obtained from such a proper motion survey one deals, statistically, with all the stars within a given distance and the results, therefore, are much more representative of the real situation in space than many HR diagrams which often contain an unrealistic preponderance of giants.

scholarly journals Development and Experimentation of a New Mathematical Model for Teaching–Learning the Radioactive Decay Law

2019 ◽  
Vol 9 (2) ◽  
pp. 123
Author(s):  
Mamane ◽  
Benjelloun
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Analytical Model ◽  
Validation Study ◽  
Collaborative Work ◽  
Radioactive Decay ◽  
New Model ◽  
Preliminary Study ◽  
The One ◽  
Teaching Learning

Our plan is to bring professors and their Moroccan pupils to focus on the teaching–learning of physics, without adopting forced mathematical modeling in previously unknown frames and registers, as is actually the practice. The preliminary study consists of developing a new analytical model for the teaching–learning of the radioactive decay law. However, the validation study was conducted to test its pertinence. The results show that, compared to the official model, pupils are very satisfied. In fact, the proposed new model intelligibility frame facilitates the linking of the concept of space of reality, with those of registers and frames. The pupils’ performance amounted to 65.33% in the development of the analytical model of the radioactive decay law, while in terms of suitable applications, pupil performance ranged from 0% to 75%. This result is partly due to the collaborative work, which induced a very significant increase in pupil performance. They were observed between increases ranging from 33.3% to 69.5%. In fact, we attribute these good performances to the ICT resources’ mobilization, specifically SimulP200, the one that we have exclusively elaborated. These resources have also mitigated the difficulties of the experiment, and those related to the processes of elaboration of different radioactive decay law model.

scholarly journals A epistemologia na didática da matemática em completude com a tecnologia

2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Maria Helena de Andrade ◽  
Rannyelly Rodrigues De Oliveira ◽  
Raphael Alves Feitosa
Keyword(s):  
Scientific Knowledge ◽  
Active Agent ◽  
The Other ◽  
Teaching Methodology ◽  
Pedagogical Practice ◽  
Mathematical Concepts ◽  
The Subject ◽  
Conception Of Teaching ◽  
Didactics Of Mathematics ◽  
Teaching Situations

Resumo: O presente trabalho visa discutir a epistemologia em duas vertentes: uma relacionada com a metodologia do professor e a outra com o conhecimento científico dos conceitos matemáticos, a fim de inserir uma abordagem epistemológica na concepção de situações de ensino. Além do mais, o atual cenário educacional tem apresentado um caráter tecnológico, assim, é necessário que o professor de Matemática resignifique sua prática pedagógica a fim de aprimorar sua metodologia de ensino, recorrendo ao uso de tecnologias, e ampliar seu repertório conceitual. Nesse sentido, pretende-se alcançar a discussão sobre uma realização didática centrada no aluno e que esteja adequada a sua realidade. Pode-se compreender que a função do professor em instigar a cognição do sujeito, enquanto agente ativo da aprendizagem está intrinsecamente relacionada aos aspectos didáticos e epistemológicos do conhecimento.  Palavras-chave: Epistemologia. Didática da Matemática. Tecnologia. Cognição.  THE EPISTEMOLOGY IN THE DIDACTICS OF MATHEMATICS IN COMPLETUDE WITH THE TECHNOLOGY  Abstract: The present work aims at discussing epistemology in two aspects: one related to the methodology of the teacher and the other with the scientific knowledge of mathematical concepts, in order to insert an epistemological approach in the conception of teaching situations. Moreover, the present educational scenario has presented a technological character, so it is necessary that the Mathematics teacher re-signify his pedagogical practice in order to improve his teaching methodology, using the technologies, and expand his conceptual repertoire. In this sense, it is intended to reach the discussion about a didactic accomplishment centered on the student and that is adequate to its reality. It can be understood that the teacher's role in instigating the cognition of the subject as an active agent of learning is intrinsically related to the didactic and epistemological aspects of knowledge.Keywords: Epistemology. Didactics of Mathematics. Technology. Cognition.   

scholarly journals Mathematical Modeling of the Strategy of the Early Islamic Wars

2020 ◽  
Vol 3 (1) ◽  
pp. 1-14
Author(s):  
Fouad Abiad
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Game Theory ◽  
Simulation Analysis ◽  
Earth Science ◽  
Mathematical Concepts ◽  
The Game Theory ◽  
Battle Of Siffin ◽  
Theory Of War ◽  
And Mathematics

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).The main activities involved in this procedure are observation followed by mathematical modeling; simulation, analysis, optimization and back to observation, Mathematics has been applied to all sciences; and religious and military sciences are no exception, and mathematics can be used highly to design different war operations and solve battlefield equations to gain relative or absolute superiority over the enemy. We can also see clearly the application of mathematics in the Game Theory of war in abundance. In this applied research, conducted in a library method, the challenges between the army of Amir al-Mu’minin, ʿAlī ibn Abī Ṭālib (as), and the army of Muʿāwiya ibn Abī Sufyān in the Battle of Siffin have been modeled using Game Theory and the strategies of each of these two fronts are compared.

Sign in / Sign up

Export Citation Format

Share Document