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| find a solution to: Protective Relaying J. Lewis Blackburn, Thomas J. Domin, 2014-02-11 For many years, Protective Relaying: Principles and Applications has been the go-to text for gaining proficiency in the technological fundamentals of power system protection. Continuing in the bestselling tradition of the previous editions by the late J. Lewis Blackburn, the Fourth Edition retains the core concepts at the heart of power system anal |
| find a solution to: The Solution of Equations in Integers A. O. Gelfond, 2018-03-19 Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition. |
| find a solution to: Solve Every Problem in Your Life Eldon Grant, 2016-07-12 You can acquire the wisdom to solve every problem you face. If you study this book, you can learn for yourself what wise men and women all across the ages have discovered while seeking lives of prosperity and happiness. WHAT HAVE THEY DISCOVERED? They have discovered that Principles are the keys to wisdom - and wisdom is the key to solving problems. Through decades of studying history's great masters and applying their teachings, Eldon Grant has acquired an unconventional wisdom through which he turned his own life of shortcomings, failures and misery into one of fulfillment, prosperity and happiness. How do you acquire wisdom? As a society, we believe our technological advances and vast stores of knowledge make us wise; yet today we are no wiser than people of the past. Obstacles we could be drawing power from are crushing us instead. It is only through a return to core principles founded on right character that will enable you to acquire the wisdom you need to solve problems so they never return. YOU WILL DISCOVER: 1.How principles lead to wisdom and enable you to harness the laws of creation 2.The one powerful principle that defines who you truly are and multiplies your potential 3.The two most powerful forces on earth - how to harness them instead of being enslaved by them 4.The most powerful, least-practiced, least understood yet oldest leadership principles on earth 5.How knowledge is actually the most delusionary and debilitating roadblock to wisdom 6.The secrets to relationships that not only last but grow stronger forever 7.Three secrets to fostering honesty, integrity and loyalty in others 8.How to make correct decisions and stand true when facing difficulties 9.Almost everything you've been taught about success is dead wrong! Here's how to fix it. 10.They told you that you didn't come with an owner's manual. You actually have 5 of them 11.How conventional wisdom creates problems and only unconventional wisdom solves them 12.The truth about the truth 13.Five principles most experts tell you to avoid that you must embrace if you expect lasting success: 14.How to achieve everything you want and never fail again - seriously! 15.The secrets to finding breakthrough shortcuts without ever cutting corners 16.Seven counter-intuitive principles that can solve every problem you have with others 17.The one and only thing in your life and business that you have direct control over and that determines everything about your future 18.Cowboy up (Cowgirl up) how to live every day with courage and passion This isn't common knowledge. Read this book to learn how you can acquire the wisdom and access the power to unlock the forces behind these secret, ancient principles and step into the future you desire. |
| find a solution to: Differential Equations Paul Blanchard, Robert L. Devaney, Glen R. Hall, 2012-07-25 Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |
| find a solution to: Questions Are the Answer Hal Gregersen, 2018-11-13 2018 Nautilus Book Awards Silver Winner What if you could unlock a better answer to your most vexing problem—in your workplace, community, or home life—just by changing the question? Talk to creative problem-solvers and they will often tell you, the key to their success is asking a different question. Take Debbie Sterling, the social entrepreneur who created GoldieBlox. The idea came when a friend complained about too few women in engineering and Sterling wondered aloud: why are all the great building toys made for boys? Or consider Nobel laureate Richard Thaler, who asked: would it change economic theory if we stopped pretending people were rational? Or listen to Jeff Bezos whose relentless approach to problem solving has fueled Amazon’s exponential growth: “Getting the right question is key to getting the right answer.” Great questions like these have a catalytic quality—that is, they dissolve barriers to creative thinking and channel the pursuit of solutions into new, accelerated pathways. Often, the moment they are voiced, they have the paradoxical effect of being utterly surprising yet instantly obvious. For innovation and leadership guru Hal Gregersen, the power of questions has always been clear—but it took some years for the follow-on question to hit him: If so much depends on fresh questions, shouldn’t we know more about how to arrive at them? That sent him on a research quest ultimately including over two hundred interviews with creative thinkers. Questions Are the Answer delivers the insights Gregersen gained about the conditions that give rise to catalytic questions—and breakthrough insights—and how anyone can create them. |
| find a solution to: Head First Algebra Tracey Pilone, Dan Pilone, 2009 Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, the book uses a visually rich format designed for the way your brain works, not a text-heavy approach that puts you to sleep.--Publisher's note. |
| find a solution to: In Search of Stupidity Merrill R. Chapman, 2003-07-08 Describes influential business philosophies and marketing ideas from the past twenty years and examines why they did not work. |
| find a solution to: The Solution Book: 101 Techniques for Successful Ideation and Problem Solving Elina Kallas, Vidyangi (Vida) Patil, CB Insights study suggests that 42% of startups fail because they do not identify the right need, in other words: there is no need for the startup or product in the first place. The issue here is the lack of tools used to generate the ideas and validate those. Bottom line, this issue is about a structured approach to idea generation and problem-solving. Do you know that most people engaged in collective problem solving spend a lot of their valuable time in meetings, discussing ideas, which they think eventually do not add value to product or startup? Harvard Business Review survey suggests that 71% of managers feel that meetings do not help accomplish much, as they do not have specific templates and exercises to guide specific outcomes with engagement from participants. THE SOLUTION BOOK is going to help you in experimenting with ideas effectively by providing you steps on how to create a framework for coming up with new ideas and products, considering a variety of views, develop teamwork and collaboration keeping you better focused on your results and outcomes. The solution book consists of 101 easy to follow techniques on problem-solving and ideation. Startup, innovation and venture failures are expensive and justified only by lack of tools and data for analysis. The book caters to all stages in your lifecycle as a creative thinker and problem solver with tools to optimize your resources, go beyond conventional solutions and experiment with divergent (out of the box) thinking thanks to Elina Kallas, a researcher on entrepreneurship education with European Commission and in entrepreneurship at Harvard University, and Vidyangi Patil, an interdisciplinary professional of Biomedical Engineering with an extensive startup and research experience. |
| find a solution to: How to Solve 50% of Your Problems ? Oussama Malloud, 2020-01-23 How to solve 50% of your problems ? Everyone has problems in life for the most part we are able to quickly solve them without much trouble . We either come up with a quick solution or use a strategy that worked in the past . For example ; if you overslept in the morning and are going to be late for work , you might decide to call work and explain your situation while getting dressed and ready in half the usual time . |
| find a solution to: Linear Algebra Done Right Sheldon Axler, 1997-07-18 This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text. |
| find a solution to: Python For Dummies Stef Maruch, Aahz Maruch, 2011-05-09 Python is one of the most powerful, easy-to-read programming languages around, but it does have its limitations. This general purpose, high-level language that can be extended and embedded is a smart option for many programming problems, but a poor solution to others. Python For Dummies is the quick-and-easy guide to getting the most out of this robust program. This hands-on book will show you everything you need to know about building programs, debugging code, and simplifying development, as well as defining what actions it can perform. You’ll wrap yourself around all of its advanced features and become an expert Python user in no time. This guide gives you the tools you need to: Master basic elements and syntax Document, design, and debug programs Work with strings like a pro Direct a program with control structures Integrate integers, complex numbers, and modules Build lists, stacks, and queues Create an organized dictionary Handle functions, data, and namespace Construct applications with modules and packages Call, create, extend, and override classes Access the Internet to enhance your library Understand the new features of Python 2.5 Packed with critical idioms and great resources to maximize your productivity, Python For Dummies is the ultimate one-stop information guide. In a matter of minutes you’ll be familiar with Python’s building blocks, strings, dictionaries, and sets; and be on your way to writing the program that you’ve dreamed about! |
| find a solution to: The Statistics Problem Solver Max Fogiel, Research and Education Association, 1978 Provides each kind of problem that might appear on an examination, and includes detailed solutions. |
| find a solution to: Functional Equations in a Single Variable Marek Kuczma, 1968 |
| find a solution to: Mathematics for the Physical Sciences Leslie Copley, 2015-03-30 The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations. |
| find a solution to: Neutrosophic linear models and algorithms to find their optimal solution Florentin Smarandache, Maissam Ahmad Jdid, 2023-12-01 In this book, we present a study of linear models and algorithms to find the optimal solution for them using the concepts of neuroscientific science. We know that the linear programming method is one of the important methods of operations research, the science that was the product of the great scientific development that our contemporary world is witnessing. The name operations research is given to the group of scientific methods used. In analyzing problems and searching for optimal solutions, it is a science whose applications have achieved widespread success in various fields of life. What is meant by neutrosophic models are models in which the data are neutrosophic values, that is, variables such as in the objective function, which expresses profit if the model is a maximization model, and expresses a cost if the model is a minimization model, which in turn is affected by environmental conditions. |
| find a solution to: Numerical Solution of Stochastic Differential Equations Peter E. Kloeden, Eckhard Platen, 2013-04-17 The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily accessible introduction to SDEs, their applications and the numerical methods to solve such equations. From the reviews: The authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible. --ZAMP |
| find a solution to: Analytical Solution Methods for Boundary Value Problems A.S. Yakimov, 2016-08-13 Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential equations of the second order. They do not apply to solutions of partial differential equations of the first order and they are incapable of solving nonlinear boundary value problems. Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order. The work does so uniquely using all analytical formulas for solving equations of mathematical physics without using the theory of series. Within this work, pertinent solutions of linear and nonlinear boundary problems are stated. On the basis of quasi-linearization, operational calculation and splitting on spatial variables, the exact and approached analytical solutions of the equations are obtained in private derivatives of the first and second order. Conditions of unequivocal resolvability of a nonlinear boundary problem are found and the estimation of speed of convergence of iterative process is given. On an example of trial functions results of comparison of the analytical solution are given which have been obtained on suggested mathematical technology, with the exact solution of boundary problems and with the numerical solutions on well-known methods. - Discusses the theory and analytical methods for many differential equations appropriate for applied and computational mechanics researchers - Addresses pertinent boundary problems in mathematical physics achieved without using the theory of series - Includes results that can be used to address nonlinear equations in heat conductivity for the solution of conjugate heat transfer problems and the equations of telegraph and nonlinear transport equation - Covers select method solutions for applied mathematicians interested in transport equations methods and thermal protection studies - Features extensive revisions from the Russian original, with 115+ new pages of new textual content |
| find a solution to: From Problem Solving to Solution Design J. Eduardo Campos, Erica W. Campos, 2018-04-24 From Problem Solving To Solution Design Creating solutions to solve problems can often prove very difficult to accomplish, even for seasoned Solution Designers. Complex organizational problems have several stakeholders, endless variables, and a myriad of possible solutions. It's hard enough to figure out where to start, and even harder to realize what the perfect, mutually-beneficial solution is. With their combined tenure of over fifty years, J. Eduardo Campos and Erica W. Campos present their Solution-Designing expertise in From Problem Solving to Solution Design so that you can learn from their successes (and their failures) to craft sustainable solutions for complex problems. Specifically, you will learn how to implement the I.D.E.A.S. framework that they have been perfecting over the years, which includes five critical checkpoints that any Solution Designer must hit to create solutions that are successfully envisioned, negotiated with stakeholders, and implemented to last over time. - IDENTIFY THE ESSENTIAL PROBLEM AND PRIORITIZE YOUR ACTIONS TO SOLVE IT. - DESIGN SOLUTION OPTIONS ALIGNED TO YOUR GOALS. - ENGAGE YOUR STAKEHOLDERS IN THE SOLUTION AND INFLUENCE THE DECISION-MAKING PROCESS. - ACT ON THE AGREED-UPON RECOMMENDATIONS AND EXECUTE YOUR GOVERNANCE MODEL. - SUSTAIN THE IMPLEMENTED SOLUTION BY CREATING A FEEDBACK LOOP. Treat this book as your field guide: it offers clear checkpoints for you to assist your organization in designing effective solutions for complex problems. |
| find a solution to: Applied Stochastic Differential Equations Simo Särkkä, Arno Solin, 2019-05-02 With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice. |
| find a solution to: Get Your Business Online Now! Todd Alexander, 2012-02-28 Online business, or e-commerce, has become the buzzword of the past year. The media and key influencers alike are talking about the potential of e-commerce but many Australian businesses have not reached their potential and those managing them don’t know how to go about it. One of the obstacles is the lack of affordable, local knowledge in the area. The assumption is that anyone with a website can appear on Google and be successful - but the reality is vastly different. Consultants will charge tens of thousands of dollars to give the same advice that is contained in this book, which includes an outline of the e-commerce opportunity, how to design and build an effective website, the best marketing and advertising strategies, logistics and payment solutions, utilising marketplaces and mobile commerce, and the key to outstanding online customer service. In this straightforward user-friendly guide, Todd Alexander, an author with 10 years’ experience as an e-commerce expert, provides the essential tools to get all types of businesses get online and make their websites successful and profitable. |
| find a solution to: Applied Numerical Methods with MATLAB for Engineers and Scientists Steven C. Chapra, 2008 Still brief - but with the chapters that you wanted - Steven Chapra’s new second edition is written for engineering and science students who need to learn numerical problem solving. This text focuses on problem-solving applications rather than theory, using MATLAB throughout. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The new second edition feature new chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs). |
| find a solution to: Let us Java Kanetkar Yashavant, 2019-09-20 Learn the basics of most favored dynamic language for application development Key features Major reorganisation of chapters with a view to improve comprehension of concepts involved Comprehensive coverage of all the concepts of Core Java Simple language, crystal clear approach, user friendly book Concepts are duly supported by several examples and self explanatory analogies. DescriptionJava Language is very popularly used for creating applications for PC, Laptop, Tablet, Web and Mobile world Learning a language that can work on so many different platforms can be a challenge. This is where you would find this book immediately useful. It follows simple and easy narration style. It doesn't assume any programming background. It begins with the basics and steadily builds the pace so that the reader finds it easy to handle complex topics towards the end. Each chapter has been designed to create a deep and lasting impression on reader's mind. Object Oriented Programming has been covered in detail to give a strong foundation for Java Programming. Well thought out and fully working example programs and carefully crafted exercises of this book, cover every aspect of Java programming. What will you learn Data types & Control Instructions Classes & Objects Arrays & Strings Inheritance & Polymorphism Interfaces, Packages Exception Handling, Effective IO Multithreading & Synchronization Generics, Collection classes, GUI Using Swing Database Connectivity Using JDBC Who this book is forThis book will prove to be a e;must havee; for beginners as well as experienced professionals as it is a stepping stone for learning Java technology. Table of contents1. An Overview of Java 2. Getting Started 3. Java Data Types and Instructions 4. Decision Control Instruction 5. Loop Control Instruction6. Case Control Instruction7. Functions8. Advanced Features of Functions9. Introduction to OOP10. Classes and Objects11. Arrays12. Strings and Enums13. Inheritance14. Polymorphism15. Exception Handling16. Effective Input/ Output17. Multithreading In Java18. Generics19. Collection Classes20. User Interfaces21. JDBC22. Index About the authorYashavant Kanetkar Through his books and Quest Video Courses on C, C++, Java, Python, Data Structures, .NET, IoT, etc. Yashavant Kanetkar has created, molded and groomed lacs of IT careers in the last three decades. Yashavant's books and Quest videos have made a significant contribution in creating top-notch IT manpower in India and abroad. Yashavant's books are globally recognized and millions of students/professionals have benefitted from them. Yashavant's books have been translated into Hindi, Gujarati, Japanese, Korean and Chinese languages. Many of his books are published in India, USA, Japan, Singapore, Korea and China. Yashavant is a much sought after speaker in the IT field and has conducted seminars/workshops at TedEx, IITs, IIITs, NITs and global software companies. Yashavant has been honored with the prestigious e;Distinguished Alumnus Awarde; by IIT Kanpur for his entrepreneurial, professional and academic excellence. This award was given to top 50 alumni of IIT Kanpur who have made a significant contribution towards their profession and betterment of society in the last 50 years. In recognition of his immense contribution to IT education in India, he has been awarded the e;Best .NET Technical Contributore; and e;Most Valuable Professionale; awards by Microsoft for 5 successive years. Yashavant holds a BE from VJTI Mumbai and M.Tech. from IIT Kanpur. Yadhavant's current affiliations include being a Director of KICIT Pvt Ltd. And KSET Pvt Ltd. His Linkedin profile: linkedin.com/in/yashavant-kanetkar-9775255 |
| find a solution to: A-level Mathematics Challenging Drill Questions (Yellowreef) Thomas Bond, Chris Hughes, 2019-05-05 • questions from top schools & colleges since 2008 • exposes “surprise & trick” questions • complete answer keys • most efficient method of learning, hence saves time • arrange from easy-to-hard both by topics and question-types to facilitate easy absorption • full set of step-by-step solution approaches (available separately) • advanced trade book • complete and concise eBook editions available • also suitable for • Cambridge GCE AL (H1/H2) • Cambridge International A & AS Level • Books available for other subjects including Physics, Chemistry, Biology, Mathematics, Economics, English • Primary level, Secondary level, GCE O-level, GCE A-level, iGCSE, Cambridge A-level, Hong Kong DSE • visit www.yellowreef.com for sample chapters and more |
| find a solution to: Introduction to Probability Joseph K. Blitzstein, Jessica Hwang, 2014-07-24 Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment. |
| find a solution to: Solve ""IT"" Charles H. Kepner, Matthys J Fourie, Andrew Sauter, 2016-09-16 The IT professional is constantly struggling with information overload when addressing Incident and Problem Management situations. They need an approach that would dispense with all the different dimensions and layers of data and information to reveal the true nature of the incident or problem as early as possible. What the incident & problem investigators need is a structured, systematic thinking process that helps them to discover the information that is relevant and remove the irrelevant information. Imagine having access to a process that would deliver the correct starting point and provide you only the relevant information first time every time? Even better, imagine having a structured set of 18 questions that would identify what information is missing and therefore the reason why the cause has not been identified yet. When the investigator trusts the process he or she will have a more direct approach. “You either know the answer to the question or you need to get someone to go and get that specific information!” “RESOLVE IT” is a book that will provide you with the structure, process and questions on how to approach any incident situation and will increase your success and confidence levels beyond all expectations! |
| find a solution to: Algorithms in Real Algebraic Geometry Saugata Basu, Richard Pollack, Marie-Françoise Coste-Roy, 2013-03-09 In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students. |
| find a solution to: Sixth Form Pure Mathematics C. Plumpton, W. A. Tomkys, 2014-05-15 Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for the single subject Mathematics at Advanced Level. Early and rapid progress in calculus is made at the beginning of this volume in order to facilitate the student's progress along the most satisfactory lines in Pure Mathematics, in Theoretical Mechanics and in Physics. The worked examples are an essential feature of this book and they are followed by routine exercises within the text of each chapter, associated closely with the work on which they are dependent. The exercises at the end of each chapter collectively embody all the topics of that chapter and, where possible, the preceding chapters also. |
| find a solution to: Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "the Educational Times" , 1908 |
| find a solution to: Foundations of Signal Processing Martin Vetterli, Jelena Kovačević, Vivek K Goyal, 2014-09-04 This comprehensive and accessible textbook introduces students to the basics of modern signal processing techniques. |
| find a solution to: The Book of Answers Carol Bolt, 2018-10-23 25 years and over 1 million copies in print: An updated, repackaged edition of the bestselling divination tool and party favorite - ask a yes or no question, open the book, find your answer. Should you ask your boss for a raise? Call that cutie you met at a party? Sell your Google stock? Tell your best friend her boyfriend's cheating? The answer to these questions (and hundreds of others) is in this fun and weirdly wise little book that's impossible to put down. It's simple to use: just hold it closed in your hands and concentrate on your question for a few seconds. While visualizing or speaking your question, place one palm down on the book's front and stroke the edge of the pages back to front. When you sense the time is right, open to the page your fingers landed on and there is your answer! Fun, satisfying, and a lot less time-consuming than asking everyone you know for advice. |
| find a solution to: Fundamentals of Matrix Analysis with Applications Edward Barry Saff, Arthur David Snider, 2015-10-12 An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms. |
| find a solution to: Multiagent System Technologies Lars Braubach, Wiebe van der Hoek, Paolo Petta, Alexander Pokahr, 2009-09-19 This book constitutes the refereed proceedings of the 7th German Conference on Multiagent Systems Technologies, MATES 2009, held in Hamburg, Germany in September 2009 - colocated with the 10th International Workshop on Computational Logic in Multi-Agent Systems (CLIMA X) and the 5th International Workshop on Modelling of Objects, Components, and Agents (MOCA 2009). The 14 revised full papers, 10 short papers, and 5 exhibition papers presented together with one invited talk were carefully reviewed and selected from 44 submissions. The papers present and discuss the latest advances of research and development in the area of autonomous agents and multiagent systems ranging from theoretical and methodological issues to applications in various fields. |
| find a solution to: Intermediate Algebra 2e Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, 2020-05-06 |
| find a solution to: Differential Equations for Engineers Wei-Chau Xie, 2010-04-26 Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering. |
| find a solution to: Psychology Problem Solver , 1989-01-01 The Problem Solvers are an exceptional series of books that are thorough, unusually well-organized, and structured in such a way that they can be used with any text. No other series of study and solution guides has come close to the Problem Solvers in usefulness, quality, and effectiveness. Educators consider the Problem Solvers the most effective series of study aids on the market. Students regard them as most helpful for their school work and studies. With these books, students do not merely memorize the subject matter, they really get to understand it. Each Problem Solver is over 1,000 pages, yet each saves hours of time in studying and finding solutions to problems. These solutions are worked out in step-by-step detail, thoroughly and clearly. Each book is fully indexed for locating specific problems rapidly. For students taking basic and advanced psychology courses. Each chapter provides comprehensive explanations and solutions to problems, and ends with a series of short questions and answers to help in preparation for exams. Also included is a particularly helpful guide to writing experimental reports. |
| find a solution to: Life, the Universe and Everything Douglas Adams, 2009-09-01 ‘One of the world's sanest, smartest, kindest, funniest voices’ – Independent on Sunday This 42nd Anniversary Edition includes exclusive bonus material from the Douglas Adams archives, and an introduction by Simon Brett, producer of the original radio broadcast. ***** In Life, the Universe and Everything, the third title in Douglas Adams' blockbusting sci-fi comedy series, The Hitchhiker's Guide to the Galaxy, Arthur Dent finds himself enlisted to prevent a galactic war. Following a number of stunning catastrophes, which have involved him being alternately blown up and insulted in ever stranger regions of the Galaxy, Arthur Dent is surprised to find himself living in a cave on prehistoric Earth. However, just as he thinks that things cannot get possibly worse, they suddenly do. An eddy in the space-time continuum lands him, Ford Prefect, and their flying sofa in the middle of the cricket ground at Lord's, just two days before the world is due to be destroyed by the Vogons. Escaping the end of the world for a second time, Arthur, Ford, and their old friend Slartibartfast embark (reluctantly) on a mission to save the whole galaxy from fanatical robots. Not bad for a man in his dressing gown . . . Follow Arthur Dent's galactic (mis)adventures in the rest of the trilogy with five parts: So Long, and Thanks for All the Fish, and Mostly Harmless. ***** Praise for Douglas Adams: 'Sheer delight' - The Times 'A pleasure to read' - New York Times 'Magical . . . read this book' - Sunday Express |
| find a solution to: Experimental Algorithms Carme Àlvarez, Maria Serna, 2006-05-20 This book constitutes the refereed proceedings of the 5th International Workshop on Experimental and Efficient Algorithms, WEA 2006, held in Menorca, Spain, May 2006. The book presents 26 revised full papers together with 3 invited talks. The application areas addressed include most fields applying advanced algorithmic techniques, such as combinatorial optimization, approximation, graph theory, discrete mathematics, scheduling, searching, sorting, string matching, coding, networking, and more. |
| find a solution to: Lipa's Legacy Józef Dodziuk, Linda Keen, 1997 The mathematical works of Lars Ahlfors and Lipman Bers are fundamental and lasting. They have influenced and altered the development of twentieth century mathematics. The personalities of these two scientists helped create a mathematical family and have had a permanent positive effect on a whole generation of mathematicians. Their mathematical heritage continues to lead succeeding generations. In the fall of 1994, one year after Bers' death, some members of this family decided to inaugurate a series of conferences, The Bers Colloquium, to be held every three years. The theme was to be a topic in the Ahlfors-Bers mathematical tradition, broadly interpreted. Ahlfors died a year after the first colloquium; future colloquia in this series will be called The Ahlfors-Bers Colloquium. The first colloquium was held in October 1995 at the Graduate Center, CUNY in New York. It coincided roughly with the second anniversary of Ber's death. There were six lectures and much informal mathematical discussion. This volume contains papers by the speakers and many of the participants. The broad range of papers indicate how strong and far reaching Ber's influence has been. The topics represented in the book include Teichmuller theory, Kleinian groups, higher dimensional hyperbolic geometry, geometry of numbers, circle packings, theory of discrete groups, classical complex function theory, one dimensional dynamics, fluid dynamics, quasiconformal mappings in higher dimensions, partial differential equations, and classical algebraic geometry. partial |
| find a solution to: English Mechanics and the World of Science , 1905 |
| find a solution to: Mathematical Questions and Solutions, from the "Educational Times" W. J. C. Miller, 1883 |
Lecture 3: Finding integer solutions to systems of linear …
We will begin by looking at how one solves the same problem over nite elds and over the rationals, and what kind of problem one runs into while doing so naively.
Section 2.1 – Solving Linear Programming Problems
A. Find the maximum value. B. Find the minimum value. Solution: Notice that the feasible set is unbounded. This means that there may or may not be an optimal solution which results in a …
Solving Linear Programs 2 - MIT
In fact, setting x3 = x4 = 0 immediately gives a feasible solution with x1 = 6 and x2 = 4. Solutions such as these will play a central role in the simplex method and are referred to as basic …
Solutions to selected exercises Solution - UCLA Mathematics
Solution: Let’s first verify that f has a zero in the interval [1,4]: f(1) = −2 < 0, f(4) = 64 > 0, therefore, since f is continuous, by the Intermediate Value Theorem, f has a zero in [1,4].
EXAMPLES OF SECTIONS 4.4 Question 1. SOLUTIONS. 1.
Find solution vectors ~u and ~v such that the solution space is the set of all linear combinations of the form s~u+ t~v: x 1 − 4x 2 − 3x 3 − 7x 4 = 0 2x 1 − x 2 + x 3 + 7x 4 = 0 x 1 + 2x 2 + 3x 3 + …
Section 1.2: Solutions and Initial Value Problems - People
If as in this example we get a solution which involves a single constant C, we call the collection of solution curves for all possible values of Ca one-parameter family of solutions.
Section 10.1: Solutions of Differential Equations
In general, a solution to a differential equation is a function. However, the function could be a constant function. For example, all solutions to the equation y 0 = 0 are constant.
Solving Recurrence Relations - Princeton University
Example: Find the solution to the recurrence relation an = an 1 +an 2 with initial condi- tions a 0 = 2 and a 1 = 7. Solution: The characteristic equation is r 2 r 2 = 0, i.e. (r 2)(r +1) = 0.
18.03 LA.3: Complete Solutions, Nullspace, Space, Dimension, …
The solution 1 is an important solution, because all solutions, no matter what initial condition, will approach the steady state solution y = 1. There is not only 1 particular solution.
Matrix Methods for Solving Systems of 1st Order Linear …
These calculations enable us to write down a closed form expression for the solution of this linear system, namely xx() [ ] (0)te= tA where 11 cos sin [ ] [] sin cos ee et t at bt bt bt bt = =−− − AB …
Solutions of first order linear - MIT OpenCourseWare
The general solution to (7) is then cxh for a constant c. The constant c “parametrizes” the solutions to (7). The second step is to somehow find some single solution to (6) itself.
Separable Differential Equations Date Period - Kuta Software
For each problem, find the particular solution of the differential equation that satisfies the initial condition. You may use a graphing calculator to sketch the solution on the provided graph. 7)
Ch 3.2: Fundamental Solutions of Linear Homogeneous …
• Find the fundamental set specified by Theorem 3.2.5 for the differential equation and initial point • In Section 3.1, we found two solutions of this equation: The Wronskian of these solutions is …
M 234 - ABEL S THEOREM REDUCTION OFORDER ECAP
If we want to find the second linearly independent solution, we will use what we know about the differential equation (p(x)) to find the Wronskian, and use the first solution y 1 to find the …
Solutions of first order linear ODEs - MIT Mathematics
at the origin. To get a function as a solution, one must restrict to the upper half plane or to the lower half plane: y= p c2 x2. In any case, these solutions can’t be extended to all time, once …
1.10 Numerical Solution to First-Order Differential Equations
Our final approach to analyzing first-order differential equations is to look at the possibility of constructing a numerical approximation to the unique solution to the initial-value problem. We …
Math 2331 { Linear Algebra - UH
Suppose the equation Ax = b is consistent for some given b, and let p be a solution. Then the solution set of Ax = b is the set of all vectors of the form w = p + vh, where vh is any solution of …
1.3 Initial Conditions; Initial-Value Problems - University of …
As we noted in the preceding section, we can obtain a particular solution of an nth order differential equation simply by assigning specific values to the n constants in the general …
Second Order Linear Differential Equations - University of Utah
Example 12.6 Find the solution y y x of y 2y 5y 0, with the initial values y 0 2 y 0 1. The auxiliary equation r2 2r 5 0 has the solutions r 1 2i. Thus the general solution is y e x Acos 2x Bsin 2x . …
LS.6 Solution Matrices - MIT Mathematics
In the literature, solutions to linear systems often are expressed using square matrices rather than vectors. You need to get used to the terminology. As before, we state the definitions and …
Lecture 3: Finding integer solutions to systems of linear …
We will begin by looking at how one solves the same problem over nite elds and over the rationals, and what kind of problem one runs into while doing so naively.
Section 2.1 – Solving Linear Programming Problems
A. Find the maximum value. B. Find the minimum value. Solution: Notice that the feasible set is unbounded. This means that there may or may not be an optimal solution which results in a …
Solving Linear Programs 2 - MIT
In fact, setting x3 = x4 = 0 immediately gives a feasible solution with x1 = 6 and x2 = 4. Solutions such as these will play a central role in the simplex method and are referred to as basic …
Solutions to selected exercises Solution - UCLA Mathematics
Solution: Let’s first verify that f has a zero in the interval [1,4]: f(1) = −2 < 0, f(4) = 64 > 0, therefore, since f is continuous, by the Intermediate Value Theorem, f has a zero in [1,4].
EXAMPLES OF SECTIONS 4.4 Question 1. SOLUTIONS. 1.
Find solution vectors ~u and ~v such that the solution space is the set of all linear combinations of the form s~u+ t~v: x 1 − 4x 2 − 3x 3 − 7x 4 = 0 2x 1 − x 2 + x 3 + 7x 4 = 0 x 1 + 2x 2 + 3x 3 + …
Section 1.2: Solutions and Initial Value Problems - People
If as in this example we get a solution which involves a single constant C, we call the collection of solution curves for all possible values of Ca one-parameter family of solutions.
Section 10.1: Solutions of Differential Equations
In general, a solution to a differential equation is a function. However, the function could be a constant function. For example, all solutions to the equation y 0 = 0 are constant.
Solving Recurrence Relations - Princeton University
Example: Find the solution to the recurrence relation an = an 1 +an 2 with initial condi- tions a 0 = 2 and a 1 = 7. Solution: The characteristic equation is r 2 r 2 = 0, i.e. (r 2)(r +1) = 0.
18.03 LA.3: Complete Solutions, Nullspace, Space, …
The solution 1 is an important solution, because all solutions, no matter what initial condition, will approach the steady state solution y = 1. There is not only 1 particular solution.
Matrix Methods for Solving Systems of 1st Order Linear …
These calculations enable us to write down a closed form expression for the solution of this linear system, namely xx() [ ] (0)te= tA where 11 cos sin [ ] [] sin cos ee et t at bt bt bt bt = =−− − AB …
Solutions of first order linear - MIT OpenCourseWare
The general solution to (7) is then cxh for a constant c. The constant c “parametrizes” the solutions to (7). The second step is to somehow find some single solution to (6) itself.
Separable Differential Equations Date Period - Kuta Software
For each problem, find the particular solution of the differential equation that satisfies the initial condition. You may use a graphing calculator to sketch the solution on the provided graph. 7)
Ch 3.2: Fundamental Solutions of Linear Homogeneous …
• Find the fundamental set specified by Theorem 3.2.5 for the differential equation and initial point • In Section 3.1, we found two solutions of this equation: The Wronskian of these solutions is …
M 234 - ABEL S THEOREM REDUCTION OFORDER ECAP …
If we want to find the second linearly independent solution, we will use what we know about the differential equation (p(x)) to find the Wronskian, and use the first solution y 1 to find the …
Solutions of first order linear ODEs - MIT Mathematics
at the origin. To get a function as a solution, one must restrict to the upper half plane or to the lower half plane: y= p c2 x2. In any case, these solutions can’t be extended to all time, once …
1.10 Numerical Solution to First-Order Differential Equations
Our final approach to analyzing first-order differential equations is to look at the possibility of constructing a numerical approximation to the unique solution to the initial-value problem. We …
Math 2331 { Linear Algebra - UH
Suppose the equation Ax = b is consistent for some given b, and let p be a solution. Then the solution set of Ax = b is the set of all vectors of the form w = p + vh, where vh is any solution of …
1.3 Initial Conditions; Initial-Value Problems - University of …
As we noted in the preceding section, we can obtain a particular solution of an nth order differential equation simply by assigning specific values to the n constants in the general …
Second Order Linear Differential Equations - University of Utah
Example 12.6 Find the solution y y x of y 2y 5y 0, with the initial values y 0 2 y 0 1. The auxiliary equation r2 2r 5 0 has the solutions r 1 2i. Thus the general solution is y e x Acos 2x Bsin 2x . …
