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 Mathematical Modeling of a Class of Symmetrical Islamic Design

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 517
Author(s):  
Mostafa ZAHRI
Keyword(s):  
Mathematical Modeling ◽  
Unit Circle ◽  
Convergence Properties ◽  
Periodic Sequences ◽  
New Model ◽  
One Dimensional ◽  
Geometric Patterns ◽  
Interesting Class ◽  
The One

In this paper, we present a new model for simulating an interesting class of Islamic design. Based on periodic sequences on the one-dimensional manifolds, and from emerging numbers, we construct closed graphs with edges on the unit circle. These graphs build very nice shapes and lead to a symmetrical class of geometric patterns of so-called Islamic design. Moreover, we mathematically characterize and analyze some convergence properties of the used up-down sequences. Finally, four planar type of patterns are simulated.

scholarly journals Unmanned aero-amphibious vehicle: preliminary study on conceptual design

2019 ◽  
Vol 11 (3) ◽  
pp. 41-53
Author(s):  
Sudhir Kumar CHATURVEDI ◽  
N. C. Ajay VISHWATH ◽  
Himali VERMA ◽  
Tanya MANCHANDA
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Circuit Design ◽  
Structural Design ◽  
Electronic Circuit ◽  
Research Paper ◽  
Control Laws ◽  
Aerial Vehicle ◽  
Preliminary Study ◽  
The Mathematical Model

This research paper deals with the methods of designing of an unmanned aero-amphibious vehicle finally allowing its manufacture. The design does not includes only the structure and electronics circuit but also the control design that mainly consists of mathematical modeling of the control system. Aero-amphibious vehicle is a vehicle that has the potential to fly as well as to swim inside the water. So, the mathematical model would be more complex than the general quad copters or drones that fly these days. This mathematical model of aero-amphibious vehicle helps develop the autopilot control codes by converting them into transfer function and by applying the control laws. Structural design and electronic circuit design of this unmanned aerial vehicle were also presented in brief in this paper so that it would be easy to frame equations for the mathematical modeling. In order to justify the structural and electronic design, their constraints and limitations were also explained in this research paper. In the mathematical modeling part, different equations were solved using different methods and those methods were also demonstrated in this research paper.

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 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

Application of the method of mathematical modeling for forecasting channel deformations at the underwater crossing of the main pipeline

2020 ◽  
Vol 10 (6) ◽  
pp. 599-609
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Roughness Coefficient ◽  
Computational Domain ◽  
Channel Deformations ◽  
Geological Surveys ◽  
Kuban River ◽  
The Stability ◽  
Protective Structures

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.

On the displacements of the contours of the optic-electronic space images. Mathematical modeling of displacement

2017 ◽  
Vol 992 (4) ◽  
pp. 32-38 ◽  
Author(s):  
E.G. Voronin
Keyword(s):  
Mathematical Modeling ◽  
Remote Sensing ◽  
Mathematical Model ◽  
Point Of View ◽  
Design Features ◽  
Space Images ◽  
Electronic Imaging ◽  
Measuring Accuracy ◽  
Physical Laws

The article opens a cycle of three consecutive publications dedicated to the phenomenon of the displacement of the same points in overlapping scans obtained adjacent CCD matrices with opto-electronic imagery. This phenomenon was noticed by other authors, but the proposed explanation for the origin of displacements and the resulting estimates are insufficient, and developed their solutions seem controversial from the point of view of recovery of the measuring accuracy of opticalelectronic space images, determined by the physical laws of their formation. In the first article the mathematical modeling of the expected displacements based on the design features of a scanning opto-electronic imaging equipment. It is shown that actual bias cannot be forecast, because they include additional terms, which may be gross, systematic and random values. The proposed algorithm for computing the most probable values of the additional displacement and ways to address some of the systematic components of these displacements in a mathematical model of optical-electronic remote sensing.

Getting Over Athens

2018 ◽  
Author(s):  
Nicolas Wiater
Keyword(s):  
Roman Empire ◽  
The Other ◽  
The Political ◽  
New Model ◽  
Dionysius Of Halicarnassus ◽  
The One

This chapter examines the ambivalent image of Classical Athens in Dionysius of Halicarnassus’ Roman Antiquities. This image reflects a deep-seated ambiguity of Dionysius’ Classicist ideology: on the one hand, there is no question for Dionysius that Athenocentric Hellenicity failed, and that the Roman empire has superseded Athens’ role once and for all as the political and cultural centre of the oikoumene. On the other, Dionysius accepted Rome’s supremacy as legitimate partly because he believed (and wanted his readers to believe) her to be the legitimate heir of Classical Athens and Classical Athenian civic ideology. As a result, Dionysius develops a new model of Hellenicity for Roman Greeks loyal to the new political and cultural centre of Rome. This new model of Greek identity incorporates and builds on Classical Athenian ideals, institutions, and culture, but also supersedes them.

scholarly journals Review of research on language teaching, learning and policy published in 2004 and 2005

2006 ◽  
Vol 39 (4) ◽  
pp. 1-27 ◽  
Author(s):  
Richard Johnstone
Keyword(s):  
International Research ◽  
Language Teaching ◽  
To Come ◽  
The One ◽  
Teaching Learning ◽  
Comprehensive Coverage

Most of the annual reviews which I have prepared for the present journal discuss roughly 100 articles published each previous year in top international research outlets. Even with such a high number per year, considerable selectivity has to be applied – the number of abstracts appearing up to the end of the October 2005 edition of Language Teaching, for example, amounts to 601, mostly published in 2005 and with still more to come for that year. The task of covering 2004 as well as 2005 within the one review, necessitated by personal circumstances, is therefore doubly daunting in its selectivity. For comprehensive coverage then, there is nothing in my view which can compete with the abstracts themselves as published in the present journal.

Mathematical modeling of fluid movement inside the eyeball during intravitreal injection

2021 ◽  
pp. 106-109
Author(s):  
D.V. Lipatov ◽  
◽  
S.A. Skladchikov ◽  
N.P. Savenkova ◽  
V.V. Novoderezkin ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Residence Time ◽  
Complex Structure ◽  
Posterior Vitreous Detachment ◽  
Vitreous Body ◽  
Complete Removal ◽  
Intravitreal Injections ◽  
The World

Background. The avalanche-like growth of intravitreal injections in the world has significantly increased interest in the hemodynamics of the processes that occur in the eye when a drug is injected into the vitreous cavity. Every year, the number of intravitreally used drugs and promising areas in which they can be used is growing. This also applies to the creation of new combined medicines and the development of drugs with a long-term therapeutic effect. Aims. Create mathematical model of eyeball to evaluate the movement of the drug substance in it; to estimate the time of the drug's presence in the eye cavity before its complete removal, to characterize the ways of its removal from the eye cavity; to assess the significance of posterior vitreous detachment during the time when the drug is present in the eye cavity; to evaluate the effect on the hydrodynamics of the depth of drug administration. Results. When the drug is administered closer to the center of the eyeball, its residence time increases in comparison with the parietal administration. With a complete posterior detachment of the vitreous body, the time of finding the drug in the eye is prolonged compared to its absence. The obtained results of mathematical modeling of the movement of the drug administered intravitreally cannot be mechanically transferred to the human eye, due to the more complex structure of the latter. Key words: intravitreal injections, vitreous body, mathematic computing.

MATHEMATICAL MODELING OF CONCRETE STRUCTURE CORROSION IN BIOLOGICALLY AGGRESSIVE ENVIRONMENTS

2021 ◽  
Vol 3 (102) ◽  
pp. 55-67
Author(s):  
VARVARA E. RUMYANTSEVA ◽  
SVETLANA A. LOGINOVA ◽  
NATALIA E. KARTSEVA
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Parabolic Type ◽  
Cement Concrete ◽  
Mass Conductivity ◽  
Kinetics And Dynamics ◽  
Biological Corrosion ◽  
First Time ◽  
Fourth Kind

In the aquatic environment, biocorrosion is an important factor affecting the reliability and durability of concrete structures. The destruction of cement concretes during biological corrosion is determined by the processes of mass transfer. The article presents the development of a calculated mathematical model of liquid corrosion in cement concrete, taking into account the biogenic factor. For the first time, a model of mass transfer in an unbounded two-layer plate is considered in the form of differential equations of parabolic type in partial derivatives with boundary conditions of the second kind at the interface between concrete and liquid and of the fourth kind at the interface between concrete and biofilm. The results of a numerical experiment are presented to study the influence of the coefficients of mass conductivity and mass transfer on the kinetics and dynamics of the process.

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