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This book guides the older student or adult who is returning to school for a degree, further training, or GED through a review of fractions. Even if you hated fractions, this method will make sense to you and will make doing fractions a breeze.
A collection of children's books on the subject of numbers and counting.
Handbook of Strategies and Strategic Processing provides a state-of-the-art synthesis of conceptual, measurement, and analytical issues regarding learning strategies and strategic processing. Contributions by educational psychology experts present the clearest-yet definition of this essential and quickly evolving component of numerous theoretical frameworks that operate across academic domains. This volume addresses the most current research and theory on the nature of strategies and performance, mechanisms for unearthing individuals’ strategic behaviors, and both long-established and emerging techniques for data analysis and interpretation.
This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms
A comprehensive companion to 'The Collected Works of Thomas Middleton', providing detailed introductions to and full editorial apparatus for the works themselves as well as a wealth of information about Middleton's historical and literary context.
An argument that complex cardinals are not extra-linguistic but built using standard syntax and standard principles of semantic composition. In Cardinals, Tania Ionin and Ora Matushansky offer a semantic and syntactic analysis of nominal expressions containing complex cardinals (for example, two hundred and thirty-five books). They show that complex cardinals are not an extra-linguistic phenomenon (as is often assumed) but built using standard syntax and standard principles of semantic composition. Complex cardinals can tell us as much about syntactic structure and semantic composition as other linguistic expressions. Ionin and Matushansky show that their analysis accounts for the internal composition of cardinal-containing constructions cross-linguistically, providing examples from more than fifteen languages. They demonstrate that their proposal is compatible with a variety of related phenomena, including modified numerals, measure nouns, and fractions. Ionin and Matushansky show that a semantic or syntactic account that captures the behavior of a simplex cardinal (such as five) does not automatically transfer to a complex cardinal (such as five thousand and forty-six) and propose a compositional analysis of complex cardinals. They consider the lexical categories of simplex cardinals and their role in the construction of complex cardinals; examine in detail the numeral systems of selected languages, including Slavic and Semitic languages; discuss linguistic constructions that contain cardinals; address extra-linguistic conventions on the construction of complex cardinals; and, drawing on data from Modern Hebrew, Basque, Russian, and Dutch, show that modified numerals and partitives are compatible with their analysis.
This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.
This is a mathematically based fraction book, so anyone can do fractions. I have created a way to show what happens with working with fractions with your hands and on a 36 box grid. It shows a concrete method to do fractions. It is for school age to adult who is struggling with any subject to do with fractions. It is direct with plenty of examples and exercises to master the materials.
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...