Using multiple mathematical methods: Maximum extent to which students are asked to use more than one method or approach to complete a single mathematical task or activity and to understand the relationships between different methods

2020 ◽  
Keyword(s):  
Mathematical Task ◽  
Mathematical Methods ◽  
Maximum Extent

Mathematical Formalism and Political-Economic Content

2012 ◽  
pp. 82-95 ◽  
Author(s):  
D. Foley
Keyword(s):  
Political Economy ◽  
Statistical Methods ◽  
Complex Adaptive System ◽  
Economic Modeling ◽  
Qualitative Properties ◽  
Mathematical Methods ◽  
Econometric Methods ◽  
Statistical Fluctuations ◽  
Complex Adaptive ◽  
New Thinking

Mathematical methods are only one moment in a layered process of theory generation in political economy, which starts from Schumpeterian vision, progresses to the identification of relevant abstractions, the development of mathematical and quantitative models, and the confrontation of theories with empirical data through statistical methods. But today the relevant abstract problems of political economy are modified to fit available mathematical tools. The role of empirical research in disciplining theoretical speculation, on which the scientific traditions integrity rests, was undermined by specific limitations of nascent econometric methods, and usurped by ex cathedra methodological fiats of theorists. These developmentssystematically favored certain ideological predispositions of economicsas a discipline. There is abundant room for New Thinking in political economy starting from the vision of the capitalist economy as a complex, adaptive system far from equilibrium, including the development of the theory of statistical fluctuations for economic interactions, redirection of macroeconomics and financial economics from path prediction toward an understanding of the qualitative properties of the system, introduction of constructive and computable methods into economic modeling, and the critical reconstruction of econometric statistical methods.

Social Learning

2013 ◽  
Author(s):  
William Hoppitt ◽  
Kevin N. Laland
Keyword(s):  
Spatial Distribution ◽  
Social Learning ◽  
Learning Strategies ◽  
Cognitive Neuroscience ◽  
Cultural Evolution ◽  
Experimental Psychology ◽  
Academic Disciplines ◽  
Mathematical Methods ◽  
Indispensable Tool ◽  
Social Learning Strategies

Many animals, including humans, acquire valuable skills and knowledge by copying others. Scientists refer to this as social learning. It is one of the most exciting and rapidly developing areas of behavioral research and sits at the interface of many academic disciplines, including biology, experimental psychology, economics, and cognitive neuroscience. This book provides a comprehensive, practical guide to the research methods of this important emerging field. It defines the mechanisms thought to underlie social learning and demonstrate how to distinguish them experimentally in the laboratory. It presents techniques for detecting and quantifying social learning in nature, including statistical modeling of the spatial distribution of behavior traits. It also describes the latest theory and empirical findings on social learning strategies, and introduces readers to mathematical methods and models used in the study of cultural evolution. This book is an indispensable tool for researchers and an essential primer for students.

High-tech business in crisis conditions: development trends of large, medium and small enterprises

2020 ◽  
Vol 18 (4) ◽  
pp. 48-58
Author(s):  
Vladislav V. Spitsyn ◽  
Alexander A. Mikhal'chuk ◽  
Anastasia A. Bulykina ◽  
Svetlana N. Popova ◽  
Irina E. Nikulina
Keyword(s):  
Small Businesses ◽  
Negative Impact ◽  
Service Industries ◽  
High Tech ◽  
Small Enterprises ◽  
Mathematical Methods ◽  
Crisis Period ◽  
Knowledge Intensive ◽  
Crisis Conditions ◽  
Medium And Small Enterprises

Leading world countries view innovative development and high-tech business as an opportunity to overcome economic stagnation and decline in economic growth. One of the modern trends in the analysis of high-tech development is the study of high-tech knowledge-intensive service industries and their development in times of crisis. The purpose of the paper is to identify patterns of development of large, medium and small enterprises in high-tech service industries in Russia during periods of crisis. Economic and economic-mathematical methods of analysis are applied to the formed samples of enterprises. The research period is 2013-2017. The financial indicators of enterprises were adjusted for the level of accumulated inflation in relation to 2013. According to results, large and medium-sized enterprises showed insignificant or weak significant positive dynamics of revenue during all years of the crisis period. The crisis period did not lead to a decrease in the revenue of these groups of enterprises. The acute phase of the crisis (2014-2015) had a pronounced negative impact on the group of small enterprises in all studied industries, but they successfully recovered in 2016-2017 and reached the pre-crisis level of revenue. The total revenue by industries and groups of enterprises in 2017 became higher than in 2013, and its growth rates were significant for many groups of enterprises, which indicates a successful overcoming of the crisis period and signs of growth in high-tech service industries. Our study shows the need for state support for small businesses in high-tech service industries in crisis conditions, and identifies the possibilities of adaptation of enterprises in these industries to an unfavorable external environment. Our results may be useful for the purposes of government stimulation of economic development in the current environment.

Mathematical Method to Unfolding Couplings

2019 ◽  
Vol 17 (17) ◽  
pp. 63-64
Author(s):  
Carmen Popa ◽  
Ivona Petre ◽  
Ruxandra-Elena Bratu
Keyword(s):  
Mathematical Method ◽  
Mathematical Methods ◽  
Intersection Curves ◽  
Four Cylinders

AbstractThe purpose of this paper is to establish the intersection curves between cylinders, using Mathematica program. The equations curves which are inferred by mathematical methods are introduced in this program. This paper takes into discussion the case of four cylinders.

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