scholarly journals Beyond the brain: towards a mathematical modeling of emotions

2021 ◽  
Vol 2090 (1) ◽  
pp. 012119
Author(s):  
Benjamin Ambrosio
Keyword(s):  
Mathematical Modeling ◽  
Dynamical System ◽  
Electromagnetic Waves ◽  
Real Life ◽  
Work Environments ◽  
Mathematical Approach ◽  
Characteristic Frequencies ◽  
Human Psyche ◽  
The Brain ◽  
Psychic State

Abstract This article focuses on a mathematical description of the emotional phenomenon. The key concept is to consider emotions as an energy, and to rely on the analogy with the electromagnetic waves. Our aim is to provide a mathematical approach to characterize the emergence of emotional fluxes in the human psyche. This goes beyond classical pscychological approaches. In this setting, specific emotions correspond to specific frequencies and our psychic state results from the summation of different characteristic frequencies. Our general model of psychic state is a dynamical system whose evolution results from interactions between external inputs and internal reactions. The model provides both qualitative (frequencies) and quantitative (intensity) components. It aims to be applied to real life situations (in particular in work environments) and we provide a typical example which naturally leads to a problem of control.

scholarly journals Peculiarities of formation and assessment of schoolchildren’s mathematical literacy

2021 ◽  
Vol 11 (4) ◽  
pp. 113-135
Author(s):  
Larisa Olegovna Denischeva ◽  
◽  
Natalya Viktorovna Savintseva ◽  
Ildar Sufiyanovich Safuanov ◽  
Andrei Vladimirovich Ushakov ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
International Student ◽  
Student Assessment ◽  
Real Life ◽  
Mathematical Literacy ◽  
Main Research ◽  
International Student Assessment ◽  
Teachers Experiences ◽  
Characteristic Features ◽  
Conceptual Foundations

Introduction. The study investigates the problem of developing mathematical literacy. The purpose of the article is to reveal the specifics of developing and assessing schoolchildren’s mathematical literacy. Materials and Methods. The research is based on the concept and model of mathematical literacy defined for the OECD Programme for International Student Assessment (PISA). The main research methods include an analysis of mathematics teachers’ experiences and an analysis of the structure of mathematical literacy tasks. Results. The article presents an analysis of the conceptual foundations of developing schoolchildren’s mathematical literacy. The authors identified and structured the characteristic features of the tasks aimed at forming mathematical literacy, described the main approaches to their development, based on the use of model schemes and mathematical modeling. The links between the contexts of real-life situations and the content areas of the school mathematics course were traced. The complete process of working with mathematical models is illustrated by tasks arising in life situations. The authors revealed the main approaches to the development of tasks, designed to form mathematical literacy, based on the model schemes and the process of mathematical modeling. Conclusions. In conclusion, the authors summarize stages of designing mathematical literacy tasks and the requirements to the approaches of their development. The conclusion is made about the possibility of using model schemes as a reference for mathematical literacy tasks.

scholarly journals Exploring young students creativity: the effect of model eliciting activities

2014 ◽  
Vol 8 (2) ◽  
pp. 51-59
Author(s):  
Talya Gilat ◽  
Miriam Amit
Keyword(s):  
Mathematical Modeling ◽  
Creative Thinking ◽  
Real Life ◽  
Model Eliciting Activities ◽  
Thinking Processes ◽  
Young Students ◽  
Selection Of

The aim of this paper is to show how engaging students in real-life mathematical situations can stimulate their mathematical creative thinking. We analyzed the mathematical modeling of two girls, aged 10 and 13 years, as they worked on an authentic task involving the selection of a track team. The girls displayed several modeling cycles that revealed their thinking processes, as well as cognitive and affective features that may serve as the foundation for a methodology that uses model-eliciting activities to promote the mathematical creative process.Exploración de la creatividad de jóvenes estudiantes: el efecto de actividades que suscitan modelosEl objetivo de este artículo es mostrar cómo involucrar a los estudiantes en situaciones matemáticas de la vida real puede estimular su pensamiento matemático creativo. Analizamos la modelización matemática de dos chicas, de 10 y 13 años, cuando trabajaban en una tarea auténtica que involucraba la selección de un equipo de atletismo. Las chicas mostraron varios ciclos de modelización que revelaron sus procesos de pensamiento, así como las características cognitivas y afectivas que pueden servir como fundamento para una metodología que usa actividades que suscitan modelos para promover los procesos matemáticos creativos.Handle: http://hdl.handle.net/10481/29578Nº de citas en SCOPUS (2017): 1 (Citas de 2º orden, 0)

A Mathematical Approach to Designing Insulators

2020 ◽  
pp. 244-257
Author(s):  
Kathryn Electa Pedings-Behling
Keyword(s):  
Mathematical Modeling ◽  
High School ◽  
Rate Of Change ◽  
Hot Water ◽  
Mathematical Approach ◽  
Aesthetic Value ◽  
Advanced Students ◽  
Extension Activity ◽  
The Aesthetic ◽  
Different Levels

How do we keep hot drinks hot and cold drinks cold? Companies such as Tervis, YETI, and Thermos spend their time researching and designing products around that very question. In this lesson, students will discover, through mathematical modeling, which materials provide the best insulation and be tasked with designing their own insulator. This lesson has been designed at two different levels for students from grade three through high school with an optional extension activity for more advanced students. Students will use technology to explore the rate of change of the temperature of hot water over two minutes using different insulation materials. After this exploration, students will use the data they have collected to determine the best materials for designing their own insulator. This insulator will then be judged based on the ability to keep a hot drink hot and on the aesthetic value.

scholarly journals Redox and essential metal status in the brain of Wistar rats acutely exposed to a cadmium and lead mixture

2020 ◽  
Vol 71 (3) ◽  
pp. 197-204
Author(s):  
Dragana Javorac ◽  
Aleksandra Buha Đorđević ◽  
Milena Anđelković ◽  
Simona Tatović ◽  
Katarina Baralić ◽  
...  
Keyword(s):  
Wistar Rats ◽  
Molecular Mechanisms ◽  
Real Life ◽  
Thiobarbituric Acid ◽  
Control Group ◽  
Special Importance ◽  
Essential Metal ◽  
Cadmium And Lead ◽  
The Brain ◽  
Insight Into

AbstractMost Pb and Cd neurotoxicity studies investigate exposure to either of the toxic metals alone, while data on co-exposure are scarce. The aim of our study was to fill that gap by investigating acute combined effects of Pb and Cd on redox and essential metal status in the brain of Wistar rats. Animals were randomised in four groups of six to eight rats, which received 15 or 30 mg/kg of Cd, 150 mg/kg of Pb, or 150 mg/kg of Pb + 15 mg/kg of Cd by gavage. The fifth, control, group received distilled water only. Co-treatment with Pb and Cd induced significant increase in malondialdehyde (MDA) and thiobarbituric acid-reactive substances (TBARS) compared to control and groups receiving either metal alone. This is of special importance, as MDA presence in the brain has been implicated in many neurodegenerative disorders. The groups did not significantly differ in Zn, Cu, Mn, and Fe brain levels. Our findings highlight the importance of metal mixture studies. Neurotoxicity assessments of single chemicals do not provide a real insight into exposure to mixtures in real life. Further research should look into interactions between these metals to reveal complex molecular mechanisms of their neurotoxicity.

scholarly journals Graph cutting and its application to biological data

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 468-479
Author(s):  
Mária Ždímalová ◽  
Ján Major ◽  
Martin Kopáni
Keyword(s):  
Graph Theory ◽  
Biological Data ◽  
Biomedical Data ◽  
Mathematical Approach ◽  
The Family ◽  
The Brain

Abstract In this paper we introduce the concept of segmentation based on mathematical approach using graph theory algorithms using the family of augmenting paths algorithms. We present a new program, an implementation, algorithms and obtained results devoted to segmentation of biomedical data. We implement our program for handling with segmentation, counting a measure of the existence of the minerals in the biomedical data. As a consequence we prove the existence of minerals in the data obtained from the brain of rabbits.

scholarly journals A New Higher-Order Iterative Scheme for the Solutions of Nonlinear Systems

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 271 ◽  
Author(s):  
Ramandeep Behl ◽  
Ioannis K. Argyros
Keyword(s):  
Mathematical Modeling ◽  
Banach Space ◽  
Nonlinear Equations ◽  
Numerical Experiments ◽  
Iterative Scheme ◽  
Real Life ◽  
System Of Nonlinear Equations ◽  
Life Problems ◽  
Lipschitz Constants ◽  
Better Than

Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present analyses of their convergences, as well as the computable radii for the guaranteed convergence of them for Banach space valued operators and error bounds based on the Lipschitz constants. Moreover, we show the applicability of them to some real-life problems, such as kinematic syntheses, Bratu’s, Fisher’s, boundary value, and Hammerstein integral problems. We finally wind up on the ground of achieved numerical experiments, where they perform better than other competing schemes.

Mathematical Modeling of Substrates Fluxes and Tumor Growth in the Brain

2019 ◽  
Vol 67 (2) ◽  
pp. 149-175 ◽  
Author(s):  
Angélique Perrillat-Mercerot ◽  
Nicolas Bourmeyster ◽  
Carole Guillevin ◽  
Alain Miranville ◽  
Rémy Guillevin
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
The Brain

Experimental Investigation of the Electromagnetic Signal Attenuation Characteristics of the Partial Discharge Laboratory at Jadavpur University

2008 ◽  
Vol 9 (2) ◽  
Author(s):  
Biswendu Chatterjee ◽  
Debangshu Dey ◽  
Sivaji Chakravorti ◽  
Chinmoy Kanti Roy
Keyword(s):  
Magnetic Material ◽  
Electromagnetic Interference ◽  
Electromagnetic Waves ◽  
Real Life ◽  
Electromagnetic Signal ◽  
Shielding Effectiveness ◽  
Signal Attenuation ◽  
Conducting Material ◽  
Communication Signals ◽  
Attenuation Characteristics

Electromagnetic interference is becoming an increasing concern, because of the high intensity of surrounding electromagnetic waves, mainly arising from communication signals and also due to widespread use of equipment that operates at radio frequencies. As a consequence, sensitive data acquisition equipment suffers from erroneous results. Operating such instruments in a suitable shielded environment can significantly reduce this electromagnetic interference. But to achieve good shielding in practice, construction-related problems are to be faced, especially in large spaces, where a single metal plate cannot cover the whole area. Unless special care is taken, electromagnetic waves can penetrate through the gap in the joints and defects like drill holes reducing the shielding effectiveness. Also, a single layer of shielding is not always effective as the quality deteriorates drastically even due to minor constructional defects as mentioned above. This paper describes real-life experiences, step-by-step, in the shielding of a spacious insulation diagnostic laboratory (with a target of at least 55 dB signal attenuation), firstly using a good conducting material, using two different methods for joining the sheets, and ultimately constructing a second layer of shielding using a magnetic material. To study the attenuation behavior of the laboratory with respect to electromagnetic waves, a device for the relative measurement of surrounding electromagnetic signal strength is developed. The signal levels are measured initially outside and then at different places inside the shielded laboratory. The results presented in this paper show (1) the variation of attenuation characteristics inside the shielded laboratory due to different methods adopted for joining the shielding sheets using a good conducting material, (2) the effect of a second shielding layer in the form of a box that was constructed using a magnetic material and placed inside the laboratory and (3) the improvement in attenuation behavior after the actual construction of the second layer of shielding using a magnetic material.

scholarly journals SOME WORD ORDER BIASES FROM LIMITED BRAIN RESOURCES: A MATHEMATICAL APPROACH

2008 ◽  
Vol 11 (03) ◽  
pp. 393-414 ◽  
Author(s):  
RAMON FERRER-I-CANCHO
Keyword(s):  
Word Order ◽  
Corpus Linguistics ◽  
Euclidean Distance ◽  
Limited Resources ◽  
Mathematical Framework ◽  
Mathematical Approach ◽  
Theoretical Support ◽  
Root Word ◽  
The Brain ◽  
Cognitive Cost

In this paper, we propose a mathematical framework for studying word order optimization. The framework relies on the well-known positive correlation between cognitive cost and the Euclidean distance between the elements (e.g. words) involved in a syntactic link. We study the conditions under which a certain word order is more economical than an alternative word order by proposing a mathematical approach. We apply our methodology to two different cases: (a) the ordering of subject (S), verb (V) and object (O), and (b) the covering of a root word by a syntactic link. For the former, we find that SVO and its symmetric, OVS, are more economical than OVS, SOV, VOS and VSO at least 2/3 of the time. For the latter, we find that uncovering the root word is more economical than covering it at least 1/2 of the time. With the help of our framework, one can explain some Greenbergian universals. Our findings provide further theoretical support for the hypothesis that the limited resources of the brain introduce biases toward certain word orders. Our theoretical findings could inspire or illuminate future psycholinguistics or corpus linguistics studies.

Sign in / Sign up

Export Citation Format

Share Document