Download or read book Primera lgebra de magnitudes written by J. M. ARNAIZ and published by Ediciones Go Beyond. This book was released on 2017-08-19 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: E-mail: [email protected] Las ecuaciones de la Física no relacionan sin más números, vectores o tensores de índole matemática, sino cantidades diádicas formadas con esos componentes vinculados a unidades diversas que indican cantidades de magnitudes naturales. Entonces, ¿por qué se opera con los entes diádicos de la Física como si fuesen elementos matemáticos puros?, ¿no supone esta ficción una aberración que envilece todo el conocimiento científico? Algunos autores han advertido de esta laguna crítica, que oculta a la Física un pilar tan fundamental. Pueden citarse preeminentes físicos como Clerk Maxwell o Max Planck, entre otros clásicos. Todos manifestaron a su manera los escrúpulos suscitados por la tradicional e injustificada forma de operar con las magnitudes físicas y sus unidades. Aquí se descubre, describe y resuelve tan notable paradoja de «aritmetización» de la Física y se construye un álgebra rigurosa y coherente para las cantidades de magnitudes. La Primera álgebra de magnitudes resuelve la hipótesis falsa del Sistema Internacional de Unidades, consistente en suponer negligentemente que las magnitudes físicas presenten estructura multiplicativa de grupo abeliano. No puede ser así, como se demuestra en este trabajo. Finalmente, se pone de manifiesto el camino lógico e inapelable que conduce del álgebra de magnitudes a los espacios «dismétricos», que se estudian con mayor profundidad en el segundo volumen de esta obra. La «dismetría» es una nueva y poderosa herramienta para representar con precisión los fenómenos físicos de un universo variable. Esta nueva Física acoge multitud de innovaciones, que sin duda sabrán apreciar muchos investigadores emprendedores. The equations of Physics do not simply relate numbers, vectors or tensors of a mathematical nature, but rather dyadic quantities formed with these components linked to various units that indicate quantities of natural magnitudes. So, why do we operate with the dyadic entities of Physics as if they were pure mathematical elements? Doesn't this fiction suppose an aberration that debases all scientific knowledge? Some authors have warned of this critical gap, which hides such a fundamental pillar from Physics. Pre-eminent physicists such as Clerk Maxwell or Max Planck, among other classics, can be cited. All of them expressed in their own way the scruples aroused by the traditional and unjustified way of operating with physical quantities and their units. Here such a remarkable «arithmeticization» paradox of Physics is discovered, described and solved and a rigorous and coherent algebra is constructed for the quantities of magnitudes. The First Algebra of Magnitudes resolves the false hypothesis of the International System of Units, consisting of negligently assuming that physical magnitudes have a multiplicative abelian group structure. It cannot be like that, as demonstrated in this work. Finally, the logical and unappealable path that leads from the algebra of magnitudes to the «dysmetric» spaces is revealed, which are studied in greater depth in the second volume of this work. «Dysmetry» is a powerful new tool for accurately representing the physical phenomena of a variable universe. This new Physics welcomes a multitude of innovations, which will undoubtedly be appreciated by many enterprising researchers.
Download or read book The reform that Physics needs written by J. M. Arnaiz and published by Ediciones Go Beyond. This book was released on with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we develop step by step the FIRST ALGEBRA OF MAGNITUDES, the specific dyadic algebra for physical quantities, in order to rectify the sloppy hypothesis of «arithmetization» of Physics, normalized by the International System of Units in sections 2.1, 5.2 , 5.4.1 and 5.4.6 of his brochure SI, which is tolerated by a clueless scientific community. With dyadic algebra, full meaning is given to the meanings of the laws, equations and compound units of Physics, a sense that we all neglect today . As a culmination, the «DYSMETRIC» FORECAST is reached, with innumerable and far-reaching implications for the enrichment of physical models and the development of infinite innovations. In this way, the trap of «arithmetizing» Physics in which we all easily fall, even the most reputable and award-winning scientists, is ended. Except for one in the entire history of Physics, which was Newton, the only one who operated with magnitudes through the affinity of physical quantities with the elements of geometry, teaching us that, although Physics is not «arithmetizable», on the other hand it is it can be «geometrized». It seems incredible, but it is a grotesque fact that nowadays no one cares about what is really done when operating with physical magnitudes or what is the full meaning of the composite magnitudes or of the analytical formulations, which underlie all of Physics, for what no one should take a step without first having clarified this knowledge. On the contrary, it turns out that operations apparently as elementary as the multiplication of a meter by a kilogram have no arithmetic explanation, because no one identifies what the multiplier of that product is, which does not multiply numbers, but rather dyads or quantities of length and mass. Despite which, it seems that no one is bothered by such a ridiculous embarrassment. Can one call himself a physicist who cannot rigorously define this simple operation and does not care? Can a science be called Physics that lacks a coherent algebra to operate with its fundamental elements, the quantities of physical phenomena? The truth is that the defect is too gross not to take it into account. All this as a consequence of the fact that the current arithmetic hypothesis that postulates the abelian multiplicative group structure for the magnitudes is impossible. Such a structure is only valid for internal additive laws, it is not valid for external multiplicative laws. Obviously, this situation is shameful and pernicious for Physics, it is unsustainable and must be corrected as soon as possible. The dyadic algebra of magnitudes, in addition to giving meaning to the laws, equations, and compound magnitudes, reveals striking consequences, such as the non-existence of inverse elements of physical units, since heterogeneous multiplicative dyadic operations are not internal composition laws, but external. In turn, it naturally leads to «dysmetry», which makes it possible to represent the infinite physical realms of empty space and which radically transforms the vision of physical constants, incompatible in an absolute sense with «dysmetric» spaces, including the number pi and the speed of light.
Download or read book Guidebook to Studies of Land Subsidence Due to Ground water Withdrawal written by Joseph Fairfield Poland and published by . This book was released on 1984 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Dictionary of the Portuguese and English Languages written by A. Vieyra and published by Рипол Классик. This book was released on 1794 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 1: Portuguese and English
Download or read book MATLAB Recipes written by Michael Paluszek and published by Apress. This book was released on 2015-11-23 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn from state-of-the-art examples in robotics, motors, detection filters, chemical processes, aircraft, and spacecraft. This is a practical reference for industry engineers using MATLAB to solve everyday problems. With MATLAB Recipes: A Problem-Solution Approach you will review contemporary MATLAB coding including the latest language features and use MATLAB as a software development environment including code organization, GUI development, and algorithm design and testing. This book provides practical guidance for using MATLAB to build a body of code you can turn to time and again for solving technical problems in your line of work. Develop algorithms, test them, visualize the results, and pass the code along to others to create a functional code base for your firm.
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Download or read book The Nature and Role of Algebra in the K 14 Curriculum written by Center for Science, Mathematics, and Engineering Education and published by National Academies Press. This book was released on 1998-10-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.
Download or read book Statistical Methods for Spatial Data Analysis written by Oliver Schabenberger and published by CRC Press. This book was released on 2004-12-20 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding spatial statistics requires tools from applied and mathematical statistics, linear model theory, regression, time series, and stochastic processes. It also requires a mindset that focuses on the unique characteristics of spatial data and the development of specialized analytical tools designed explicitly for spatial data analysis. Statistical Methods for Spatial Data Analysis answers the demand for a text that incorporates all of these factors by presenting a balanced exposition that explores both the theoretical foundations of the field of spatial statistics as well as practical methods for the analysis of spatial data. This book is a comprehensive and illustrative treatment of basic statistical theory and methods for spatial data analysis, employing a model-based and frequentist approach that emphasizes the spatial domain. It introduces essential tools and approaches including: measures of autocorrelation and their role in data analysis; the background and theoretical framework supporting random fields; the analysis of mapped spatial point patterns; estimation and modeling of the covariance function and semivariogram; a comprehensive treatment of spatial analysis in the spectral domain; and spatial prediction and kriging. The volume also delivers a thorough analysis of spatial regression, providing a detailed development of linear models with uncorrelated errors, linear models with spatially-correlated errors and generalized linear mixed models for spatial data. It succinctly discusses Bayesian hierarchical models and concludes with reviews on simulating random fields, non-stationary covariance, and spatio-temporal processes. Additional material on the CRC Press website supplements the content of this book. The site provides data sets used as examples in the text, software code that can be used to implement many of the principal methods described and illustrated, and updates to the text itself.
Download or read book Books IV to VII of Diophantus Arithmetica written by Jacques Sesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.
Download or read book The Blackwell Guide to the Philosophy of Science written by Peter Machamer and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presentsa definitive introduction to the core areas of philosophy of science.
Download or read book Model Based Reasoning in Science and Technology written by Lorenzo Magnani and published by Springer. This book was released on 2010-09-24 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically presented to enhance the feasibility of fuzzy models, this book introduces the novel concept of a fuzzy network whose nodes are rule bases and their interconnections are interactions between rule bases in the form of outputs fed as inputs.
Download or read book Imagining Numbers written by Barry Mazur and published by Penguin UK. This book was released on 2004-03-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows how the art of mathematical imagining is not as mysterious as it seems. Drawing on a variety of artistic resources the author reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.
Download or read book Elements of Geometry Containing the First Six Books of Euclid with a Supplement on the Quadrature of the Circle and the Geometry of Solids to which are Added Elements of Plane and Spherical Trignonometry written by William Wallace and published by BoD – Books on Demand. This book was released on 2024-03-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
Download or read book MATLAB Machine Learning Recipes written by Michael Paluszek and published by Apress. This book was released on 2019-01-31 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harness the power of MATLAB to resolve a wide range of machine learning challenges. This book provides a series of examples of technologies critical to machine learning. Each example solves a real-world problem. All code in MATLAB Machine Learning Recipes: A Problem-Solution Approach is executable. The toolbox that the code uses provides a complete set of functions needed to implement all aspects of machine learning. Authors Michael Paluszek and Stephanie Thomas show how all of these technologies allow the reader to build sophisticated applications to solve problems with pattern recognition, autonomous driving, expert systems, and much more. What you'll learn:How to write code for machine learning, adaptive control and estimation using MATLAB How these three areas complement each other How these three areas are needed for robust machine learning applications How to use MATLAB graphics and visualization tools for machine learning How to code real world examples in MATLAB for major applications of machine learning in big data Who is this book for: The primary audiences are engineers, data scientists and students wanting a comprehensive and code cookbook rich in examples on machine learning using MATLAB.
Download or read book Numbers written by Graham Flegg and published by Courier Corporation. This book was released on 2013-05-13 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.
Download or read book The Greate Invention of Algebra written by Jacqueline A. Stedall and published by Oxford University Press, USA. This book was released on 2003 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The clear and concise exposition makes this an excellent reference volume for historians of mathematics and those interested in the history of science. This is an important new resource for understanding the development of algebra in seventeenth-century England."--Jacket.
Download or read book Singular Integrals written by Alberto P. Calderón and published by . This book was released on 1967 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
