scholarly journals Quaternions and the Heuristic Role of Mathematical Structures in Physics

1993 ◽  
Vol 6 (2) ◽  
pp. 308-319 ◽  
Author(s):  
Ronald Anderson ◽  
Girish C. Joshi
Keyword(s):  
Mathematical Structures

Studying structure of Coronaviridae, analyzing their geometry and focusing on the role of electronic applications in health awareness of viruses

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Eman Almuhur ◽  
Manal Al-Labadi ◽  
Amani Shatarah ◽  
Nazneen Khan ◽  
Raeesa Bashir
Keyword(s):  
Human Body ◽  
Design Methodology ◽  
Health Technology ◽  
Content Type ◽  
Mathematical Structures ◽  
Infected People ◽  
Movement Mechanism ◽  
Effective Role ◽  
Health Applications

Purpose This study aims to focus on electronic applications that have an effective role in raising the awareness of the dangers of viruses’ transmission from person-to-person and their positive and important impact on people’s lives. Design/methodology/approach The authors illustrated the effects of socializing with infected people on a human body by a model in geometry and how the prospected antibiotic annihilates the structure of the virus. The authors discussed vital operations inside the human body to expound the geometry of objects that are closed under their operations, such as viruses, especially Coronaviridae. Findings Also, the authors discussed some of the e-health applications in Jordan. As e-health activities, programs and applications have been given attention, the authors focused on potentials for constructing strategies that lead to create a featuring health technology. Originality/value Moreover, in this study, the authors explored the structure and geometry of Coronaviridae family, especially coronavirus that causes lots of diseases, and explained its movement mechanism using the mathematical structures.

scholarly journals Estructuras y representaciones

1990 ◽  
Vol 22 (64) ◽  
pp. 3-22
Author(s):  
Adolfo García de la Sienra
Keyword(s):  
Real World ◽  
Representation Theorem ◽  
Mathematical Structures ◽  
The Real ◽  
Conceptual Apparatus ◽  
Philosophical Basis ◽  
Aristotelian Metaphysics

The aim of the present paper is to set a philosophical basis in order to discuss the type of representation that holds between mathematical structures and those aspects of the real world which they represent. It is maintained that an actualized version of Aristotelian metaphysics is suited for this purpose. The connection between the abstract, rigid concepts of mathematics, and the concepts of metaphysics is attempted through the concept of a fundamental measurement. The existence and degree of uniqueness of a fundamental measurement is established as a representation theorem asserting the existence of a homomorphism from what I call an ontological structure into a numerical one. An ontological structure contains as elements real beings, and its relations represent —in a sense made precise thereof— real relations among these beings. The role of metaphysics in the establishment of a representation theorem is to provide the conceptual apparatus required to discuss and formulate the ontological axioms required to derive the theorem. The paper contains a very complete example of a fundamental measurement in the sense described, namely, the measurement of the height of a physical parallelepiped and that of its potential parts.

Applying Mathematics

2018 ◽  
Author(s):  
Otávio Bueno ◽  
Steven French
Keyword(s):  
Quantum Physics ◽  
Scientific Practice ◽  
Explanatory Role ◽  
Mathematical Structures ◽  
Middle Way ◽  
History Of ◽  
And Mathematics ◽  
History Of Quantum Physics ◽  
Available Information

What has been called ‘the unreasonable effectiveness of mathematics’ sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character whereas others have pointed to the range of structures that mathematics offers. Here a middle way is offered that focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics which is formulated in terms of immersion inference and interpretation. In particular the roles of idealizations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasizes the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.

Models in biology

2018 ◽  
Author(s):  
Jay Odenbaugh
Keyword(s):  
Biological Sciences ◽  
Computer Simulations ◽  
Explanatory Power ◽  
Empirical Adequacy ◽  
Biological Models ◽  
Philosophical Debate ◽  
Mathematical Structures ◽  
Graphical Displays ◽  
Models And Modelling

In recent years, much attention has been given by philosophers to the ubiquitous role of models and modelling in the biological sciences. Philosophical debate has focused on several areas of discussion. First, the term ‘model’ is applied to a bewildering array of objects in biology from mathematical structures, graphical displays, computer simulations, to concrete organisms. These objects seem so different as to raise the question of whether there is some one thing which a model is. Philosophers are investigating whether a unifying account of models can be found. Second, biologists rarely have fundamental theories as in physics and chemistry, but do have a variety of models. Many philosophers and biologists have suggested that biological theories are nothing more than a collection or family of models. Third, models are traditionally evaluated by their statistical fit to data or their explanatory power. However, biological models are highly idealized – literally false – which can undercut their empirical adequacy and explanatory worth. As a result, biological models are often evaluated for their heuristic functions, possibly unrelated to empirical adequacy and truth.

International Mathematical Education: Mathematical Structures and the Role of Algebra in School Mathematics

1969 ◽  
Vol 62 (8) ◽  
pp. 673-678
Author(s):  
Howard F. Fehr ◽  
P. Lefebvre
Keyword(s):  
Mathematics Instruction ◽  
Applied Science ◽  
School Mathematics ◽  
Foreign Languages ◽  
Mathematical Education ◽  
Mathematical Structures ◽  
School Subjects ◽  
Arab States ◽  
And Mathematics

Editor's Note.—In April 1966, at a meeting of ministers of education in the Arab states, held at Tripoli, a resolution was adopted requesting an updating of instruction in school subjects—particularly mathematics, pure and applied science, and foreign languages. In November 1966, the General Conference of UNESCO invited member states to undertake a major program for improvement of science and mathematics instruction and selected the Arab states as an initial place to start because of their April resolution. Mathematics was selected as the initial subject primarily because, worldwide, the reforms in education during the last fifteen years began with mathematics.

scholarly journals A Significant Approach for Graph Theory and Its Applications

2018 ◽  
pp. 247-250
Author(s):  
K. Ramya ◽  
K. Suganya
Keyword(s):  
Graph Theory ◽  
Real World ◽  
Low Cost ◽  
Discrete Mathematics ◽  
Mathematical Structures ◽  
Real Application ◽  
Cost System ◽  
Model Pair

Graph theory is a branch of discrete mathematics. Graph theory is the study of graphs which are mathematical structures used to model pair wise relations between objects. Now a days the role of graph theory in various filed is increasing, currently it provide greater functionality, combination, and low cost system into real world designed systems. Graph theory is in spot to play extensive roles in real application

Role of dactinomycin in the improved survival of children with Wilms' tumor

JAMA ◽  
1966 ◽  
Vol 195 (12) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. J. Fernbach
Keyword(s):  
Wilms Tumor

Role of the allergist in diagnosis and management of patients with uveitis

JAMA ◽  
1966 ◽  
Vol 195 (3) ◽  
pp. 167-172 ◽  
Author(s):  
T. E. Van Metre
Keyword(s):  
Diagnosis And Management

The power of norms to sway fused group members

2018 ◽  
Vol 41 ◽  
Author(s):  
Winnifred R. Louis ◽  
Craig McGarty ◽  
Emma F. Thomas ◽  
Catherine E. Amiot ◽  
Fathali M. Moghaddam
Keyword(s):  
Evolutionary Anthropology ◽  
Normative Systems ◽  
Violent Extremism ◽  
Identity Fusion ◽  
Group Members

AbstractWhitehouse adapts insights from evolutionary anthropology to interpret extreme self-sacrifice through the concept of identity fusion. The model neglects the role of normative systems in shaping behaviors, especially in relation to violent extremism. In peaceful groups, increasing fusion will actually decrease extremism. Groups collectively appraise threats and opportunities, actively debate action options, and rarely choose violence toward self or others.

Elaborating the role of reflection and individual differences in the study of folk-economic beliefs

2018 ◽  
Vol 41 ◽  
Author(s):  
Kevin Arceneaux
Keyword(s):  
Decision Making ◽  
Individual Differences ◽  
Cognitive Processes ◽  
Evolutionary History ◽  
Behavioral Responses ◽  
History Of ◽  
Economic Beliefs

AbstractIntuitions guide decision-making, and looking to the evolutionary history of humans illuminates why some behavioral responses are more intuitive than others. Yet a place remains for cognitive processes to second-guess intuitive responses – that is, to be reflective – and individual differences abound in automatic, intuitive processing as well.

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