Economics: A Political and Mathematical Discipline

2020 ◽  
pp. 1-12
Author(s):  
Sergio Cesaratto
Keyword(s):  
Mathematical Discipline

scholarly journals The Human Worth of Rigorous Thinking

1922 ◽  
Vol 15 (1) ◽  
pp. 1-5
Author(s):  
Cassius J. Keyser
Keyword(s):  
Men And Women ◽  
Mathematical Discipline ◽  
Appropriate Education ◽  
Human Worth

The question I purpose to diseuss briefly is this: how much mathematical discipline is essential to the appropriate education of men and women as human beings?

Computing as a Mathematical Discipline

2019 ◽  
pp. 81-114
Author(s):  
Giuseppe Primiero
Keyword(s):  
Formal Verification ◽  
Mathematical Discipline

This chapter explores more closely the debates concerning correctness and illustrates the principles of formal verification for programsand the philosophical critiques to it. It finally closes the first part of this volume by formulating principles of formal computational validity.

Applications of Supercomputers in Population Genetics

2015 ◽  
pp. 176-200
Author(s):  
Gerard G. Dumancas
Keyword(s):  
Population Genetics ◽  
Natural Selection ◽  
Genetic Drift ◽  
Critical Role ◽  
Allele Frequency Distribution ◽  
Modern Approach ◽  
Mathematical Discipline ◽  
Modern Evolutionary Synthesis ◽  
Changes Over Time ◽  
Over Time

Population genetics is the study of the frequency and interaction of alleles and genes in population and how this allele frequency distribution changes over time as a result of evolutionary processes such as natural selection, genetic drift, and mutation. This field has become essential in the foundation of modern evolutionary synthesis. Traditionally regarded as a highly mathematical discipline, its modern approach comprises more than the theoretical, lab, and fieldwork. Supercomputers play a critical role in the success of this field and are discussed in this chapter.

Condorget: Politics and Reason

1978 ◽  
Vol 12 ◽  
pp. 110-139
Author(s):  
Ian White
Keyword(s):  
Social Sciences ◽  
Eighteenth Century ◽  
Natural Sciences ◽  
Mathematical Treatment ◽  
Political Sciences ◽  
Fundamental Significance ◽  
The Social ◽  
Mathematical Discipline ◽  
The Common ◽  
Universal Applicability

From the time of its clearest origins with Pascal, the theory of probabilities seemed to offer means by which the study of human affairs might be reduced to the same kind of mathematical discipline that was already being achieved in the study of nature. Condorcet is to a great extent merely representative of the philosophers of the seventeenth and eighteenth centuries who were led on by the prospect of developing moral and political sciences on the pattern of the natural sciences, specifically physics. The development of economics and the social sciences, from the eighteenth century onwards, may be said in part to have fulfilled and in a manner to have perpetuated these ambitions. In so far as the new sciences have been susceptible of mathematical treatment, this has not been confined to the calculus of probabilities. But there is a temptation at every stage to ascribe fundamental significance and universal applicability to each latest mathematical device that is strikingly useful or illuminating on its first introduction. It is the theory of games that enjoys this position at present, and shapes the common contemporary conception of the very same problems that preoccupied Condorcet.

Origami and space research: classroom activities

2020 ◽  
Author(s):  
Natalija Budinski
Keyword(s):  
Flat Surface ◽  
Space Science ◽  
Space Research ◽  
Space Craft ◽  
Formal Description ◽  
Classroom Activities ◽  
Folding Paper ◽  
Mathematical Problems ◽  
3D Printed ◽  
Mathematical Discipline

<p>When origami is mentioned, the first associations are paper cranes.  But origami is much more, and it is actually a mathematical discipline, so powerful that even NASA uses origami in its space research. Flat origami, where figures are as such as the above mentioned crane, is full of mathematical problems. There are seven origami axioms, widely known as Huzita-Hatori axioms, that describe creases. They represent the mathematically formal description of origami constructions. But when talking about involving origami and space science, we need to mention Miura folding  This form of origami folding is proposed by Japanese astrophysicist Koryo Miura. Miura-ori is a way of folding paper or another flat surface into smaller area.  In the presentation we describe how we have made Miura-ori folding, how we 3D printed and made a model of a space craft in our classroom. Connecting different disciplines and inquiry students learned about the most recent scientific research and applied their knowledge during the project. </p>

scholarly journals The role of e-learning in the modern high education

2021 ◽  
Vol 10 (4) ◽  
pp. 4243-4251
Author(s):  
V. V. Filatov ◽  
A. V. Gobysh
Keyword(s):  
Large Scale ◽  
Learning Technologies ◽  
Educational Process ◽  
Scientific Publications ◽  
Distant Learning ◽  
Force Majeure ◽  
E Learning ◽  
Mathematical Discipline ◽  
Additional Education

The article is devoted to the problem of establishing the frames to use distant learning in higher education. The topic relevance is related to emerging a force majeure situation associated with a pandemic, which made it possible to carry out a unique experiment on such large-scale training applying. The paper analyzes some aspects of this problem concerning the mathematical discipline learning at the technical university junior courses. The study is based on the analysis of scientific publications by domestic and foreign authors devoted to the problems of mixed learning, distant learning, and peculiarities of teaching mathematical disciplines in universities. The author conclude that the main problems of introducing e-learning and distant learning technologies into the educational process is insufficient motivation of students pronounced especially in junior courses. They note that the effectiveness of using distant educational technologies in additional education is largely due to the good motivation of people who want to improve their professional level. The paper discusses results obtained during the forced transition to distant learning (March-July 2020), in particular, gives the rationale for a certain model of mixed learning. It emphasizes that, as the threat of the pandemic situation repetition, as well as the need for a new transition to e-learning are not excluded, the problem of motivating students should be given special attention at all educational process levels.

scholarly journals WAVELETS AND THEIR APPLICATION IN IMAGE PROCESSING WITH FUTURE RESEARCH PROSPECT

2020 ◽  
Vol 9 (12) ◽  
pp. 105-110
Keyword(s):  
Image Processing ◽  
Wavelet Analysis ◽  
Future Research ◽  
Rapid Rate ◽  
Science And Engineering ◽  
The Past ◽  
Processing Data ◽  
Research Prospect ◽  
Mathematical Discipline ◽  
Basic Ideas

The past decade has witnessed the development of wavelet analysis, a new tool that emerged from mathematics and was quickly adopted by diverse fields of science and engineering. In the brief period since its creation in 1987-88, it has reached a certain level of maturity as a well-defined mathematical discipline, with its own conferences, journals, research monographs, and textbooks proliferating at a rapid rate. Wavelet analysis has begun to play a serious role in a broad range of applications, including signal processing, data and image compression, solution of partial differential equations, modelling multiscale phenomena, and statistics. There seem to be no limits to the subjects where it may have utility.Our aim is to explore some additional topics that extend the basic ideas of wavelet analysis

Thermodynamics of ternary mixtures of non-electrolytes: excess volumes

1983 ◽  
Vol 61 (10) ◽  
pp. 2321-2328 ◽  
Author(s):  
Prem P. Singh ◽  
Vinod K. Sharma
Keyword(s):  
Graph Theory ◽  
Excess Volumes ◽  
Ternary Mixtures ◽  
Binary Interaction ◽  
Interaction Coefficients ◽  
Text Data ◽  
Graph Theoretical Approach ◽  
Mathematical Discipline ◽  
Experimental Values ◽  
Molar Excess Volumes

Molar excess volumes, [Formula: see text], of some (i + j + k) ternary mixtures of non-electrolytes have been determined dilatometrically at 298.15 and 308.15 K and the same have been analysed in terms of (a) Lacombe and Sanchez theory and (b) an approach based on the mathematical discipline of graph theory utilizing information on the (i + j), (j + k), and (k + i) binary mixtures alone. It has been observed that the [Formula: see text] data predicted by the graph theoretical approach employing the graph theoretical binary interaction coefficients αij, αjk, and αki compare better with the corresponding experimental values than the [Formula: see text] values predicted by Lacombe and Sanchez theory utilizing Lacombe and Sanchez's binary interaction coefficients χij, χjk, and χki of the (i + j), (j + k), and (k + i) mixtures. The [Formula: see text] data have also been utilized to extract, via the Mayer–McMillan approach, self and cross volume interaction coefficients Vjj, Vkk, Vjk. Vjjk, and Vjkk and the Vjk values have been utilized to study molecular interactions between the jth and the kth components in the presence of the ith component of these (I + j + k) mixtures.

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