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Fractal Dimension for Fractal Structures
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension...
Quantitative Methods for Economics and Finance
This book is a collection of papers for the Special Issue “Quantitative Methods for Economics and Finance” of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers 19 papers on topics such as volatility clusters and volatility dynamic, forecasting, stocks, indexes, cryptocurrencies and commodities, trade agreements, the relationship between volume and price, trading strategies, efficiency, regression, utility models, fraud prediction, or intertemporal choice.
Complex Methods in Approximation Theory
This book provides an up-to-date account of research in Approximation Theory and Complex Analysis, areas which are the subject of recent exciting developments.The level of presentation should be suitable for anyone with a good knowledge of analysis, including scientists with a mathematical background. The volume contains both research papers and surveys, presented by specialists in the field. The areas discussed are: Orthogonal Polynomials (with respect to classical and Sobolev inner products), Approximation in Several Complex Variables, Korovkin-type Theorems, Potential Theory, Ratinal Approximation and Linear Ordinary Differential Equations.
Dynamics of socio economic systems- DySES 2023
Dynamics of Socio Economic Systems (DySES) is an organization created initially by a group of Argentinian Scientists, directed by Prof. Araceli Noemi Proto, about 15 years ago, as an umbrella organization to encourage interdisciplinary research on socio-economic systems in general. Since then, the group has been enlarged by researchers coming from all over the world. The scope of DySES conferences has always been rather largely defined. In general the main emphasis has been on interdisciplinary collaborations and on new techniques capable of describing and predicting future behavior of socio-economic systems. Typically, methods have been discussed, that could be used to assist in decision-ma...
Applied topology: recent progress for computer science, fuzzy mathematics and economics.
En las últimas décadas, la Topología se ha revelado como una poderosa herramienta para acometer diferentes problemas relacionados con un amplio espectro de ciencias aplicadas más allá de las matemáticas, como Economía, Inteligencia Artificial, Ciencias de la Computación o Sistemas Dinámicos. El presente volumen recoge las ponencias del Workshop in Applied Topology WiAT¿12, celebrado en junio de 2012 en la Universitat Jaume I, en el que participaron diferentes grupos de investigación del área de la Topología General y sus Aplicaciones.
Mathematical Reviews
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La innovación educativa en la práctica docente de Educación Secundaria
Los estudiantes del Máster Oficial de Profesorado en Educación Secundaria Obligatoria y Bachillerato, Formación Profesional y Enseñanza de Idiomas (MAES) deben tener una predisposición a la incorporación de innovaciones en la tarea docente y los formadores potenciar la creatividad para la innovación metodológica y nuevos recursos pero lo que cobra una especial importancia es la difusión de buenas prácticas y de resultados de investigaciones propias en entornos profesionales. El volumen que el lector tiene a su alcance cumple una de las dimensiones para la competencia docente de innovación e investigación, es un compendio de buenas prácticas de docentes profesionales y una miscelánea de propuestas, prácticas y reflexiones realizadas por estudiantes dentro del proceso formativo que muestra los resultados los diseños y/o experimentaciones de sus propuestas de innovación.
Artificial Computation in Biology and Medicine
The two volumes LNCS 9107 and 9108 constitute the proceedings of the International Work-Conference on the Interplay Between Natural and Artificial Computation, IWINAC 2015, held in Elche, Spain, in June 2015. The total of 103 contributions was carefully reviewed and selected from 190 submissions during two rounds of reviewing and improvement. The papers are organized in two volumes, one on artificial computation and biology and medicine, addressing topics such as computational neuroscience, neural coding and neuro-informatics, as well as computational foundations and approaches to the study of cognition. The second volume deals with bioinspired computation in artificial systems; topics alluded are bio-inspired circuits and mechanisms, bioinspired programming strategies and bioinspired engineering AI&KE.
Bioinspired Computation in Artificial Systems
The two volumes LNCS 9107 and 9108 constitute the proceedings of the International Work-Conference on the Interplay Between Natural and Artificial Computation, IWINAC 2015, held in Elche, Spain, in June 2015. The total of 103 contributions was carefully reviewed and selected from 190 submissions during two rounds of reviewing and improvement. The papers are organized in two volumes, one on artificial computation and biology and medicine, addressing topics such as computational neuroscience, neural coding and neuro-informatics, as well as computational foundations and approaches to the study of cognition. The second volume deals with bioinspired computation in artificial systems; topics alluded are bio-inspired circuits and mechanisms, bioinspired programming strategies, and bioinspired engineering AI&KE.
