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Algorithms for Linear-Quadratic Optimization (Chapman And Hall/crc Pure And Applied Mathematics Ser. #200)
by Vasile SimaThis textbook offers theoretical, algorithmic and computational guidelines for solving the most frequently encountered linear-quadratic optimization problems. It provides an overview of recent advances in control and systems theory, numerical line algebra, numerical optimization, scientific computations and software engineering.
Algorithms for Minimization Without Derivatives (Dover Books on Mathematics)
by Richard P. BrentThis outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives.Topics include the use of successive interpolation for finding simple zeros of a function and its derivatives; an algorithm with guaranteed convergence for finding a minimum of a function of one variation; global minimization given an upper bound on the second derivative; and a new algorithm for minimizing a function of several variables without calculating derivatives. Many numerical examples augment the text, along with a complete analysis of rate of convergence for most algorithms and error bounds that allow for the effect of rounding errors.
Algorithms for Next-Generation Sequencing (Chapman & Hall/CRC Computational Biology Series)
by Wing-Kin SungAdvances in sequencing technology have allowed scientists to study the human genome in greater depth and on a larger scale than ever before – as many as hundreds of millions of short reads in the course of a few days. But what are the best ways to deal with this flood of data? Algorithms for Next-Generation Sequencing is an invaluable tool for students and researchers in bioinformatics and computational biology, biologists seeking to process and manage the data generated by next-generation sequencing, and as a textbook or a self-study resource. In addition to offering an in-depth description of the algorithms for processing sequencing data, it also presents useful case studies describing the applications of this technology.
Algorithms for Robotic Motion and Manipulation: WAFR 1996
by Jean-Paul Laumond Mark OvermarsThis volume deals with core problems in robotics, like motion planning, sensor-based planning, manipulation, and assembly planning. It also discusses the application of robotics algorithms in other domains, such as molecular modeling, computer graphics, and image analysis. Topics Include: - Planning - Sensor Based Motion Planning - Control and Moti
Algorithms for Satellite Orbital Dynamics (Springer Series in Astrophysics and Cosmology)
by Lin LiuThis book highlights the fundamental physics of orbit theory, dynamical models, methods of orbit determination, design, measurement, adjustment, and complete calculations for the position, tracking, and prediction of satellites and deep spacecraft. It emphasizes specific methods, related mathematical calculations, and worked examples and exercises. Therefore, technicians and engineers in the aerospace industry can directly apply them to their practical work. Dedicated to undergraduate students and graduate students, researchers, and professionals in astronomy, physics, space science, and related aerospace industries, the book is an integrated work based on the accumulated knowledge in satellite orbit dynamics and the author’s more than five decades of personal research and teaching experience in astronomy and aerospace dynamics.
Algorithms for Sensor Systems: 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014, Wroclaw, Poland, September 12, 2014, Revised Selected Papers (Lecture Notes in Computer Science #8847)
by Jie Gao Alon Efrat Sándor P. Fekete Yanyong ZhangThis book constitutes thoroughly refereed and revised selected papers from the 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014, held in Wroclaw, Poland, on September 12, 2014. The 10 papers presented in this volume were carefully reviewed and selected from 20 submissions. They are organized in topical sections named: robot planning; algorithms and data structures on graphs; and wireless networks.
Algorithms for Sensor Systems: 9th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers (Lecture Notes in Computer Science #8243)
by Jie Gao Evangelos Kranakis Paola Flocchini Friedhelm Meyer auf der HeideThis book constitutes the proceedings of the 9th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2013, held in Sophia Antipolis, France, in September 2013. The 19 papers presented in this volume were carefully reviewed and selected from 30 submissions. They deal with sensor network algorithms, wireless networks and distributed robotics algorithms; and experimental algorithms.
Algorithms for Sensor Systems: 11th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2015, Patras, Greece, September 17-18, 2015, Revised Selected Papers (Lecture Notes in Computer Science #9536)
by Kay Römer Prosenjit Bose Leszek Antoni Gąsieniec Roger WattenhoferThis bookconstitutes revised selected papers from the 11th International Symposium onAlgorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2015, heldin Patras, Greece, in September 2015. The 16 fullpapers presented in this volume were carefully reviewed and selected from 30submissions. The deal with algorithms analysis and problem complexity; computercommunication networks; computation by abstract devices; and mathematics ofcomputing.
Algorithms for Sensor Systems: 13th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2017, Vienna, Austria, September 7-8, 2017, Revised Selected Papers (Lecture Notes in Computer Science #10718)
by Yanyong Zhang Antonio Fernández Anta Tomasz Jurdzinski Miguel A. MosteiroThis book constitutes revised selected papers from the 13th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2017, held in Vienna, in September 2017. The 17 full papers presented in this volume were carefully reviewed and selected from 30 submissions. ALGOSENSORS is an international symposium dedicated to the algorithmic aspects of wireless networks. Originally focused on sensor networks, it now covers algorithmic issues arising in wireless networks of all types of computational entities, static or mobile, including sensor networks, sensor-actuator networks, autonomous robots. The focus is on the design and analysis of algorithms, models of computation, and experimental analysis.
Algorithms for Solving Common Fixed Point Problems (Springer Optimization And Its Applications #132)
by Alexander J. ZaslavskiThis book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations. Convex feasibility problems search for a common point of a finite collection of subsets in a Hilbert space; common fixed point problems pursue a common fixed point of a finite collection of self-mappings in a Hilbert space. A variety of algorithms are considered in this book for solving both types of problems, the study of which has fueled a rapidly growing area of research. This monograph is timely and highlights the numerous applications to engineering, computed tomography, and radiation therapy planning.<P><P> Totaling eight chapters, this book begins with an introduction to foundational material and moves on to examine iterative methods in metric spaces. The dynamic string-averaging methods for common fixed point problems in normed space are analyzed in Chapter 3. Dynamic string methods, for common fixed point problems in a metric space are introduced and discussed in Chapter 4. Chapter 5 is devoted to the convergence of an abstract version of the algorithm which has been called component-averaged row projections (CARP). Chapter 6 studies a proximal algorithm for finding a common zero of a family of maximal monotone operators. Chapter 7 extends the results of Chapter 6 for a dynamic string-averaging version of the proximal algorithm. In Chapters 8 subgradient projections algorithms for convex feasibility problems are examined for infinite dimensional Hilbert spaces.
Algorithms for Sparse Linear Systems (Nečas Center Series)
by Jennifer Scott Miroslav TůmaLarge sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines.This monograph is aimed at students of applied mathematics and scientific computing, as well as computational scientists and software developers who are interested in understanding the theory and algorithms needed to tackle sparse systems. It is assumed that the reader has completed a basic course in linear algebra and numerical mathematics.
Algorithms for Sparsity-Constrained Optimization (Springer Theses #261)
by Sohail BahmaniThis thesis demonstrates techniques that provide faster and more accurate solutions to a variety of problems in machine learning and signal processing. The author proposes a "greedy" algorithm, deriving sparse solutions with guarantees of optimality. The use of this algorithm removes many of the inaccuracies that occurred with the use of previous models.
Algorithms from and for Nature and Life: Classification and Data Analysis (Studies in Classification, Data Analysis, and Knowledge Organization)
by Berthold Lausen Alfred Ultsch Dirk Van den PoelThis volume provides approaches and solutions to challenges occurring at the interface of research fields such as, e.g., data analysis, data mining and knowledge discovery, computer science, operations research, and statistics. In addition to theory-oriented contributions various application areas are included. Moreover, traditional classification research directions concerning network data, graphs, and social relationships as well as statistical musicology describe examples for current interest fields tackled by the authors. The book comprises a total of 55 selected papers presented at the Joint Conference of the German Classification Society (GfKl), the German Association for Pattern Recognition (DAGM), and the Symposium of the International Federation of Classification Societies (IFCS) in 2011.
Algorithms in Bioinformatics: Theory and Implementation
by Paul A. GagniucALGORITHMS IN BIOINFORMATICS Explore a comprehensive and insightful treatment of the practical application of bioinformatic algorithms in a variety of fields Algorithms in Bioinformatics: Theory and Implementation delivers a fulsome treatment of some of the main algorithms used to explain biological functions and relationships. It introduces readers to the art of algorithms in a practical manner which is linked with biological theory and interpretation. The book covers many key areas of bioinformatics, including global and local sequence alignment, forced alignment, detection of motifs, Sequence logos, Markov chains or information entropy. Other novel approaches are also described, such as Self-Sequence alignment, Objective Digital Stains (ODSs) or Spectral Forecast and the Discrete Probability Detector (DPD) algorithm. The text incorporates graphical illustrations to highlight and emphasize the technical details of computational algorithms found within, to further the reader’s understanding and retention of the material. Throughout, the book is written in an accessible and practical manner, showing how algorithms can be implemented and used in JavaScript on Internet Browsers. The author has included more than 120 open-source implementations of the material, as well as 33 ready-to-use presentations. The book contains original material that has been class-tested by the author and numerous cases are examined in a biological and medical context. Readers will also benefit from the inclusion of: A thorough introduction to biological evolution, including the emergence of life, classifications and some known theories and molecular mechanismsA detailed presentation of new methods, such as Self-sequence alignment, Objective Digital Stains and Spectral ForecastA treatment of sequence alignment, including local sequence alignment, global sequence alignment and forced sequence alignment with full implementationsDiscussions of position-specific weight matrices, including the count, weight, relative frequencies, and log-likelihoods matricesA detailed presentation of the methods related to Markov Chains as well as a description of their implementation in Bioinformatics and adjacent fieldsAn examination of information and entropy, including sequence logos and explanations related to their meaningAn exploration of the current state of bioinformatics, including what is known and what issues are usually avoided in the fieldA chapter on philosophical transactions that allows the reader a broader view of the prediction processNative computer implementations in the context of the field of BioinformaticsExtensive worked examples with detailed case studies that point out the meaning of different results Perfect for professionals and researchers in biology, medicine, engineering, and information technology, as well as upper level undergraduate students in these fields, Algorithms in Bioinformatics: Theory and Implementation will also earn a place in the libraries of software engineers who wish to understand how to implement bioinformatic algorithms in their products.
Algorithms in Bioinformatics: 15th International Workshop, WABI 2015, Atlanta, GA, USA, September 10-12, 2015, Proceedings (Lecture Notes in Computer Science #9289)
by Mihai Pop Hélène TouzetThis book constitutes the refereed proceedings of the 15th International Workshop on Algorithms in Bioinformatics, WABI 2015, held in Atlanta, GA, USA, in September 2015. The 23 full papers presented were carefully reviewed and selected from 56 submissions. The selected papers cover a wide range of topics from networks to phylogenetic studies, sequence and genome analysis, comparative genomics, and RNA structure.
Algorithms in Bioinformatics: A Practical Introduction (Chapman & Hall/CRC Computational Biology Series)
by Wing-Kin SungThoroughly Describes Biological Applications, Computational Problems, and Various Algorithmic Solutions Developed from the author's own teaching material, Algorithms in Bioinformatics: A Practical Introduction provides an in-depth introduction to the algorithmic techniques applied in bioinformatics. For each topic, the author clearly details the bi
Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint (Understanding Complex Systems)
by Rafael Martínez-Guerra Christopher Diego Cruz-AnconaThis book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.
Algorithms, Probability, Networks, and Games: Scientific Papers and Essays Dedicated to Paul G. Spirakis on the Occasion of His 60th Birthday (Lecture Notes in Computer Science #9295)
by Christos Zaroliagis Grammati Pantziou Spyros KontogiannisThis Festschrift volume is published in honor of Professor Paul G. Spirakis on the occasion of his 60th birthday. It celebrates his significant contributions to computer science as an eminent, talented, and influential researcher and most visionary thought leader, with a great talent in inspiring and guiding young researchers. The book is a reflection of his main research activities in the fields of algorithms, probability, networks, and games, and contains a biographical sketch as well as essays and research contributions from close collaborators and former PhD students.
Alhambra und die Schönheit der Symmetrie: Zum Umgang mit entdeckungsanregenden Aufgabenstellungen im Rahmen einer geometrischen Lernumgebung (Berliner Rekonstruktionen des Mathematikunterrichts)
by Nicole Weber-KrpounModerner Mathematikunterricht strebt nicht nur nach Wissensvermittlung. Er strebt auch danach, Schüler*innen dazu anzuregen, mathematische Zusammenhänge eigenständig zu entdecken und auf aktive und nachhaltige Weise selbst zu (re-)konstruieren. Mathematische Lernumgebungen spielen auf diesem Weg eine entscheidende Rolle: Sie sollen das Entdecken fördern und allen Schüler*innen ermöglichen, in ihrem eigenen Tempo und Schwierigkeitsgrad zu arbeiten. Nicole Weber-Krpoun präsentiert in diesem Buch eine von ihr selbst entworfene Lernumgebung zum Thema Spiegelsymmetrie: „Alhambra und die Schönheit der Symmetrie“. Diese Lernumgebung hat sie in einer zweiten Klasse mit 21 Schüler*innen erprobt und videografiert. Die Arbeit verfolgt dabei zwei Forschungsziele: Zum einen werden die Aufgabenstellungen der Lernumgebung analysiert, um festzustellen, ob diese tatsächlich den Anspruch einlösen, zum Entdecken anzuregen. Zum anderen wird der Umgang mit diesen Aufgabenstellungen durch die verschiedenen Akteur*innen untersucht, um festzustellen, wie Lernende sowie Lehrende die Offenheit der Aufgabenstellungen wahrnehmen und – gegebenenfalls auf ganz unterschiedliche Art und Weise – ausdeuten.
All About Dyscalculia: A Practical Guide for Primary Teachers (All About SEND)
by Judy HornigoldAll About Dyscalculia is an accessible and informative guide for primary school teachers, designed to increase their knowledge and understanding of dyscalculia and provide practical strategies and advice to build the self-esteem and motivation of learners in their care. The book explores the indicators of dyscalculia, before detailing a range of teaching strategies that will support dyscalculic children and help them to develop their mathematical understanding and resilience. Throughout the book, there is an emphasis on creating an empathetic learning ethos in the classroom and school that will minimise maths anxiety and lead to a more positive outcome for all learners. All About Dyscalculia includes: A comprehensive introduction to dyscalculia and steps to help teachers identify children with dyscalculia in their classrooms. Practical strategies for building specific maths abilities, as well as broader problem-solving skills. Advice for teachers and parents on how to reduce maths anxiety and support the development of maths proficiency in learners. Easy to dip in and out of chapters with worked examples make this book accessible to all teachers and parents. With suggestions for immediate impact, as well as ideas for more detailed interventions, this practical book will be essential reading for all mainstream primary teachers and SENCOs, as well as a helpful guide to supporting children with dyscalculia at home.
All-Attainment Teaching in Secondary Mathematics: Philosophy, Practice and Social Justice
by Colin JacksonThis book is about the promotion of all-attainment teaching in the mathematics classroom. The book contains the individual stories of six teachers working in three different schools: an inner London comprehensive with a largely working class intake, a comprehensive on the south coast and a rural comprehensive in Cambridgeshire. Each story describes and explains in brief the background of the teacher and how each came to teach all-attainment groups in mathematics. The research reported in this book is the only close examination and analysis of the practices and methodologies of successful all-attainment educators in the modern age. Three major themes are identified and examined: what sustains the teachers; how they introduce, develop and maintain all-attainment teaching; and how they make all-attainment work in the classroom.From an analysis of these findings, the book presents two interrelated models of the knowledge and understandings the research has generated. The first one is an overarching model of situation and horizon. Used as a means of visualizing and understanding the current situation for teachers, it can aid in encouraging change for the better. The second model offers teachers a way to think of all-attainment teaching as an enabler for all students, most especially for disadvantaged students. Both models have original and explanatory power and offer new ways of conceptualizing how mathematics teaching for social justice might be understood and implemented, offering fresh perspectives and unique insights. As such it will be of help to students at undergraduate, Masters and doctoral level and to education researchers more widely.
All Sides to an Oval: Properties, Parameters, and Borromini's Mysterious Construction
by Angelo Alessandro MazzottiThis is the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction and calculation tools. More than 30 basic construction problems are solved, with references to GEOGEBRA ANIMATION VIDEOS, plus the solution to the Frame Problem and solutions to the Stadium Problem. A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini's oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres. The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author). The primary audience is: ARCHITECTS, GRAPHIC DESIGNERS, INDUSTRIAL DESIGNERS, ARCHITECTURE HISTORIANS, CIVIL ENGINEERS; moreover, the systematic way in which the book is organised could make it a companion to a textbook on DESCRIPTIVE GEOMETRY or on CAD
All Sides to an Oval: Properties, Parameters and Borromini's Mysterious Construction
by Angelo Alessandro MazzottiThis is the second edition of the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction, representation and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation videos, plus the solution to the Frame Problem and solutions to the Stadium Problem. A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini’s oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres as well as the case study of Perronet’s Neuilly bridge, a half oval with eleven centres.The primary audience is: architects, graphic designers, industrial designers, architecture historians, civil engineers; moreover, the systematic way in which the book is organised could make it a companion to a textbook on descriptive geometry or on CAD.Added features in the 2nd edition include: the revised hypothesis on Borromini’s project for the dome of the church of San Carlo alle Quattro Fontane in Rome, an insight into the problem of finding a single equation to represent a four-centre oval, a suggestion for a representation of a four-centre oval using Geogebra, formulas for parameters of ovals with more than 4 centres and the case study of the eleven-centre half-oval arch used to build the XVIII century Neuilly bridge in Paris.
All the Math You Missed: (But Need to Know for Graduate School)
by Thomas A. GarrityBeginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.
All the Math You'll Ever Need: A Self-Teaching Guide (Wiley Self-Teaching Guides #148)
by Carolyn C. Wheater Steve SlavinA comprehensive and hands-on guide to crucial math concepts and terminology In the newly revised third edition of All the Math You’ll Ever Need: A Self-Teaching Guide, veteran math and computer technology teacher Carolyn Wheater and veteran mathematics author Steve Slavin deliver a practical and accessible guide to math you can use every day and apply to a wide variety of life tasks. From calculating monthly mortgage payments to the time you’ll need to pay off a credit card, this book walks you through the steps to understanding basic math concepts. This latest edition is updated to reflect recent changes in interest rates, prices, and wages, and incorporates information on the intelligent and efficient use of calculators and mental math techniques. It also offers: A brand-new chapter on hands-on statistics to help readers understand common graphs An easy-to-use-format that provides an interactive method with frequent questions, problems, and self-tests Complete explanations of necessary mathematical concepts that explore not just how math works, but also why it worksPerfect for anyone seeking to make practical use of essential math concepts and strategies in their day-to-day life, All the Math You’ll Ever Need is an invaluable addition to the libraries of students who want a bit of extra help applying math in the real world.