Ten Equations to Explain the Mysteries of Modern Astrophysics
From Information and Chaos Theory to Ghost Particles and Gravitational Waves 05/30/2019 |
This book introduces ten equations that transcend the boundaries of time and space. It takes readers through a journey of self-discovery where they will learn the history, science, and significance of these equations in the context of their lives. Moreover, the mathematical beauty of these equations is presented in a profoundly modest fashion to highlight the idea that equations are eternal but humans are transient. Each chapter offers readers a sublime experience and provides insights into the laws of nature that address the ever-expanding intricacy of our universe. The history of humankind, according to Franz Kafka, is the instant between two strides taken by a traveler. Therefore, what remains eternal when we finish our journey on this tiny rocky planet is our deep desire to connect wi... |
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The Foundations of Real Analysis
A Fundamental Course with 347 Exercises and Detailed Solutions 11/01/2015 |
This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises throughout the text. |
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Geometry by Construction
Object Creation and Problem-solving in Euclidean and Non-Euclidean Geometries 02/19/2015 |
College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the reader is encouraged to create the objects under investigation and verify the results with reasoning. Since both models of “bent” spaces exist in Euclidean geometry, the reader gains facility with Euclidean moves through the whole book, even while exploring non-Euclidean spaces. The book itself is meant to be unpacked, expanded and taken further, just like the problems it contains. Geometry b... |
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Super Edge-Antimagic Graphs
A Wealth of Problems and Some Solutions 10/15/2008 |
Graph theory, and graph labeling in particular, are fast-growing research areas in mathematics. New results are constantly being discovered and published at a rapidly increasing rate due to the enormous number of open problems and conjectures in the field. This book deals mainly with the super edge-antimagic branch of graph labeling. It is written for specialists, but could be read also by postgraduate or undergraduate students with high school knowledge of mathematics and a vibrant interest in problem-solving. |
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08/31/2007 |
This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming. |
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A Brief Course in Linear Algebra
Matrices and Matrix Equations for Undergraduate Students in Applied Mathematics, Science and Engineering 06/15/2019 |
This book contains a brief course in elementary linear algebra with emphasis on solving systems of linear algebraic and ordinary differential equations. It is written for undergraduate students in the disciplines of applied mathematics, science and engineering. Topics covered include basics of matrices and vectors, systems of linear algebraic equations, matrix inverse, matrix determinant, eigenvalues and eigenvectors, matrix diagonalization, and systems of first order linear ordinary differential equations. The connections between the topics are carefully elucidated. Derivations or proofs are given in detail for all the main results in the book. Basic knowledge of the arithmetic of complex numbers and exposure to elementary functions and calculus are assumed. Problems are set at the end of... |
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04/01/2017 |
The Math Handbook has been developed for students with Dyscalculia and others who are struggling with mathematics. The book is based upon the Singapore Primary Mathematics curriculum, as well as the International Math curriculum. More than twenty topics are covered and explained step by step through visual representation to convey mathematical concepts. It has been specially developed for: • Students who have been diagnosed with Dyscalculia; other terms may include Mathematics Learning Disability, or Mathematics Disorder • Students who have been diagnosed with Dyslexia; as according to research more than fifty percent of those experience difficulties with mathematics. Some students may have Dyslexia and Dyscalculia as co-existing disorders • Students diagnosed with ADHD; as the... |
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Differential Inclusions in Modeling and Simulation
Interdisciplinary Applications, Reachable Sets, Uncertainty Treatment for Educators and Researchers of Computer Modeling and Simulation 12/01/2019 |
The purpose of this book is to reach a circle of readers in the field of modeling and simulation, and similar. The examples and applications are multidisciplinary because of the multidisciplinary nature of modeling and simulation (MS). The book is not aimed for mathematicians, though some theoretical issues are also included. One of the aims of the book is to call into question a common paradigm that prevails among MS specialists telling that everything in the real world what is continuous in time, can be described by the ordinary or partial differential equations (ODEs, PDEs). My point is that this is not exactly true. So, we should look for a wider set of modeling tools. Differential inclusions (DIs) are used as an generalization of the ODE models.An important topic of the book that appe... |
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How to Solve Large Linear Systems
Using a Stable Cybernetic Approach for Non-Cumulative Computation, Avoiding Underflow and Overflow, with Unconditional and Uniform Convergence 12/15/2019 |
Solving the linear equation system n x n can also be a problem for a computer, even when the number of equations and unknowns is relatively small (a few hundred). All existing methods are burdened by at least one of the following problems: 1) Complexity of computation expressed through the number of operations required to be done to obtaining solution; 2) Unrestricted growth of the size of the intermediate result, which causes overflow and underflow problems; 3) Changing the value of some coefficients in the input system, which causes the instability of the solution; 4) Require certain conditions for convergence, etc.In this paper an approximate and exact methods for solving a system of linear equations with an arbitrary number of equations and the same number of unknowns is presented. Al... |
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One-Sheet-A-Day Math Drills
Grade 2 Subtraction - 200 Worksheets (Book 4 of 24) 01/15/2018 |
This One-Sheet-A-Day math drill workbook is for 2nd grade students who want extra practice with two numbers, two digits subtraction. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 2nd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching... |
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One-Sheet-A-Day Math Drills
Grade 3 Addition - 200 Worksheets (Book 5 of 24) 01/15/2018 |
This One-Sheet-A-Day math drill workbook is for 3rd grade students who want extra practice with two numbers, three digits addition. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 3rd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching ... |
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Risk Factors and Business Models
Understanding the Five Forces of Entrepreneurial Risk and the Causes of Business Failure 05/18/2011 |
One of the primary concerns in a small business is the problem of risk. Many who begin the start-up process terminate it in less than one year. Of those that survive, many are unable to achieve sustained growth and profits. Small-to-medium business enterprises (SME) have a 50% to 90% chance of failure within the first five years. While there are measures of personal risk behavior of entrepreneurs, the literature contains no measure of risk orientation for the enterprise. The purpose of this study was to develop and validate a researcher-designed instrument to measure the critical forces of business risk. The 37-item Entrepreneurial Risk Assessment Scale (ERAS) was developed from key theoretical concepts grounded in economics, marketing, management, finance, and entrepreneurship literatu... |
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Idolatry and Infinity
Of Art, Math, and God 08/11/2014 |
Some unwritten stories only exist in fragments. In this book, for the first time, the histories of the injunction against idolatry and the dread of infinity are uniquely woven into one. The spectre of idolatry has haunted the three Western religions since the biblical prohibition. The story of iconoclasm runs from ancient times, where Jews largely ignored the ban on images, through the iconoclastic episodes in Islam and Christianity, and into modern times during the French Revolution. A perhaps surprising thesis of this book is that a conceptual and secular form of iconoclasm continued as the revulsion of illusionism in Modern Art. More recently it flared-up in the dynamiting of two large statues of the Buddha by the Taliban in Afghanistan in 2001. The phobia of infinity arose from P... |
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Some Recent Developments in Statistical Theory and Applications
Selected Proceedings of the International Conference on Recent Developments in Statistics, Econometrics and Forecasting, University of Allahabad, India, December 27-28, 2010 06/21/2012 |
This book is part of the proceedings of The International Conference on Recent Developments in Statistics, Econometrics and Forecasting 2010, which was organized to provide opportunities for academics and researchers to share their knowledge on recent developments in this area. The conference featured the most up-to-date research results and applications in statistics, econometrics and forecasting. The book has fifteen chapters contributed by different authors and can be divided into five parts: Time Series and Econometric Modelling, Linear Models, Non-parametrics, Statistical Applications and Statistical Methodology. This book will be helpful to graduate students, researchers and applied statisticians working in the area of time series, statistical and econometric modelling. |
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One-Sheet-A-Day Math Drills
Grade 2 Addition - 200 Worksheets (Book 3 of 24) 11/01/2017 |
This One-Sheet-A-Day math drill workbook is for 2nd grade students who want extra practice with two numbers, two digits addition. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 2nd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching on... |
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One-Sheet-A-Day Math Drills
Grade 3 Subtraction - 200 Worksheets (Book 6 of 24) 01/15/2018 |
This One-Sheet-A-Day math drill workbook is for 3rd grade students who want extra practice with two numbers, three digits subtraction. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 3rd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searchi... |
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One-Sheet-A-Day Math Drills
Grade 3 Multiplication - 200 Worksheets (Book 7 of 24) 01/15/2018 |
This One-Sheet-A-Day math drill workbook is for 3rd grade students who want extra practice with two numbers, one or two digits multiplication. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 3rd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time... |
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One-Sheet-A-Day Math Drills
Grade 1 Addition - 200 Worksheets (Book 1 of 24) 10/01/2017 |
One-Sheet-A-Day Math Drills: Grade 1 Addition - 200 Worksheets is the first volume of the One-Sheet-A-Day Math Drill Workbook Series, a 24 volume set of math worksheets geared to follow most math curriculums for students in grades one through seven. This One-Sheet-A-Day math drill workbook is for 1st grade students who want extra practice with two numbers, single digit addition. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 1st grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increa... |
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Global Business and Management Research
An International Journal Vol.1, No.1 04/14/2009 |
The Journal of Global Business and Management Research (GBMR) strives to comply with highest research standards and scientific/research/practice journals' qualities. Being international and inter-disciplinary in scope, GBMR seeks to provide a platform for debate among diverse academic and practitioner communities who address a broad area of business and management issues across the globe. |
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Disproof of Bell's Theorem
Illuminating the Illusion of Entanglement, Second Edition 02/07/2014 |
A remarkable concept known as "entanglement" in quantum physics requires an incredibly bizarre link between subatomic particles. When one such particle is observed, quantum entanglement demands the rest of them to be affected instantaneously, even if they are universes apart. Einstein called this "spooky actions at a distance", and argued that such bizarre predictions of quantum theory show that it is an incomplete theory of nature. In 1964, however, John Bell proposed a theorem which seemed to prove that such spooky actions at a distance are inevitable for any physical theory, not just quantum theory. Since then many experiments have confirmed these long-distance correlations. But now, in this groundbreaking collection of papers, the author exposes a fatal flaw in the logic and mathematic... |
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Financial Economics of Index Annuities
An Analysis of Investor Returns 06/01/2013 |
Average investors hold their equity mutual funds slightly over three years, which significantly hinders their long-term performance. This study found that there is a statistically significant difference between the investor returns of index annuities and the investor returns of equity mutual funds for six distinct time periods starting from 1997-2011 and ending with 2002-2011. Additionally, the risk-adjusted investor returns of index annuities outperformed the risk-adjusted investor returns of equity mutual funds for the same time frame. The aforementioned outperformance was termed the “Index Annuity Investor Return Spread” (IAIRS) by the study. Investor return is often not reported nor written about in the financial press, as the media tends to focus on investment return which is defi... |
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Bridging the Gap
Elusive Explosions in the Local Universe 01/31/2012 |
For centuries, we have known that our dynamic universe is adorned by cosmic fireworks: energetic and ephemeral beacons of light from a single star that are a million (nova) to a billion (supernova) times brighter than our sun. However, it had been an age-old conundrum that the brightest nova is approximately 1000 times fainter than the faintest supernova; why should nature leave such a wide "gap"? In search of an answer, I undertook three systematic surveys for my thesis. Since I was looking for transients fainter, faster and rarer than supernovae, I focused my search on galaxies in the local universe. We now have convincing evidence of multiple, distinct populations of rare transients bridging this “gap”. Perhaps, we are witnessing new stellar physics— shell detonations in ultra-... |
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11/04/2011 |
The operational aspects of Lambda Calculus are studied as a fundamental basis for high-order functional computation. We consider systems having full reduction semantics, i.e., equivalence-preserving transformations of functions. The historic lineage from Eval-Apply to SECD to RTNF/RTLF culminates in the techniques of normal-order graph Head Order Reduction (HOR). By using a scalar mechanism to artificially bind relatively free variables, HOR makes it relatively effortless to reduce expressions beyond weak normal form and to allow expression-level results while exhibiting a well-behaved linear self-modifying code structure. Several variations of HOR are presented and compared to other efficient reducers, with and without sharing, including a conservative breadth-first one which mechanically... |
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Beautiful Mates
Applying Principles of Beauty to Computer Chess Heuristics 09/30/1997 |
A synopsis of eminent computer chess programs reveal that they are designed around a 'brute force' approach. An argument is made that by continuing the 'brute force' search approach, computer chess development is moving away from human evaluation methods. Research is done into studies of evaluation methods, and a discovery is made that humans use a form of intuition, called their 'sense of beauty', to choose the best chess move. A paper by Margulies is cited which formulates principles of beauty which apply to chess. Three versions of a chess program are developed, using no heuristics, standard chess heuristics, and beauty heuristics formulated from Margulies principles. The performance of the three versions of the program are compared using chess puzzles, and rated for how quickly they fi... |
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Introductory Numerical Analysis
Lecture Notes 02/01/2000 |
The aim of this book is to provide a simple and useful introduction for the fresh students into the vast field of numerical analysis. Like any other introductory course on numerical analysis, this book contains the basic theory, which in the present text refers to the following topics: linear equations, nonlinear equations, eigensystems, interpolation, approximation of functions, numerical differentiation and integration, stochastics, ordinary differential equations and partial differential equations. Because the students need to quickly understand why the numerical methods correctly work, the proofs of theorems were shorted as possible, insisting more on ideas than on a lot of algebra manipulation. The included examples are presented with a minimum of complications, emphasizing the st... |
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12/10/1998 |
As distributed applications become more sophisticated, their implementation becomes more and more difficult. It is therefore important to study how to facilitate the implementation of efficient distributed applications. This thesis reviews the different classes of distributed languages and presents a new approach to develop efficient distributed programs using the Ada language. This approach is compared in detail with existing distributed programming languages, existing approaches to distributed Ada programs, and the Distributed Annex of the new revision of Ada language. |
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Pyrene Degradation by
Mycobacterium sp. KMS
Biochemical Pathway, Enzymatic Mechanisms, and Humic Acid Effect 09/13/2010 |
Pyrene, a four-ring polycyclic aromatic hydrocarbon (PAH), was identified as the chemical that requires the largest land area for soil bioremediation due to the slow rate of biodegradation at the Libby, Montana Superfund site. Prepared bed land treatment is the specific bioremediation technology that is currently employed at this site. Although bioremediation has been widely accepted for treatment of contaminated soil due to its low cost, the effective application of bioremediation is often hindered by the lack of information related to: 1) biochemical pathways, 2) enzymatic mechanisms, and 3) effects of amendments. Mycobacterium sp. KMS is a new strain isolated from the land treatment units of the Libby site and has been found to utilize pyrene as a carbon and energy source. The genome o... |
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05/07/2009 |
The purpose of this qualitative study was to measure the effectiveness of a new reusable learning object design model for elementary mathematics. This study was motivated by the lack of general reusable learning object design models and, specifically, elementary mathematics design models that include both technical and learning specifications. The research design method was a qualitative Delphi technique and included participants across the United States and other countries. Ten participants were provided the design model and a questionnaire to analyze the effectiveness of the model on the online instructional design process. Two rounds of questionnaire responses and model refinements were conducted, at which point a consensus was reached. As a result of the data collected, the elementary ... |
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04/19/2011 |
Amidst the dramatic real estate fluctuations in the first decade of the twenty-first century, this study recognized that there is a necessity to create a real estate prediction model for future real estate ventures and prevention of losses such as the mortgage meltdown and housing bust. This real estate prediction model study sought to reinstall the integrity into the American building and development industry, which was tarnished by the sudden emergence of various publications offering get-rich-quick schemes. In the fast-paced and competitive world of lending and real estate development, it is becoming more complex to combine current and evolving factors into a profitable business model. This prediction model correlated past real estate cycle pinpoints to economical driving forces in o... |
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01/31/1999 |
Quasi-Monte Carlo methods, which are often described as deterministic versions of Monte Carlo methods, were introduced in the 1950s by number theoreticians. They improve several deficiencies of Monte Carlo methods; such as providing estimates with deterministic bounds and avoiding the paradoxical difficulty of generating random numbers in a computer. However, they have their own drawbacks. First, although they provide faster convergence than Monte Carlo methods asymptotically, the advantage may not be practical to obtain in "high" dimensional problems. Second, there is not a practical way to measure the error of a quasi-Monte Carlo simulation. Finally, unlike Monte Carlo methods, there is a scarcity of error reduction techniques for these methods. In this dissertation, we attempt to pro... |