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| double bracket in math: Exploring Mathematics with Mathematica Theodore W. Gray, Jerry Glynn, 1991-01 This engaging book is written in the form of a conversation between two well-iknown Mathematica experts and will give readers a better understanding of Mathematica and what it can do for them. Gray and Glynn will take readers on a mathematical journey to show the art behind the math. |
| double bracket in math: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
| double bracket in math: Group Theory and Numerical Analysis Pavel Winternitz, 2005 The Workshop on Group Theory and Numerical Analysis brought together scientists working in several different but related areas. The unifying theme was the application of group theory and geometrical methods to the solution of differential and difference equations. The emphasis was on the combination of analytical and numerical methods and also the use of symbolic computation. This meeting was organized under the auspices of the Centre de Recherches Mathematiques, Universite de Montreal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field. |
| double bracket in math: New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) CGP Books, 2019-05 |
| double bracket in math: Mathematics for the General Reader E.C. Titchmarsh, 2017-04-19 A first-class mathematician's lucid, unhurried account of the science of numbers from arithmetic through the calculus. — James R. Newman, The World of Mathematics. This highly accessible introduction to mathematics is geared toward readers seeking a firm grasp of the essentials of mathematical theory and practice. The treatment also offers a concise outline of mathematical history and a clearer notion of why mathematicians do what they do. Author E. C. Titchmarsh, who served for many years as Savilian Professor of Geometry at Oxford University, begins with counting and the fundamentals of arithmetic. He guides readers through the complexities of algebra, fractions, geometry, irrational numbers, logarithms, infinite series, complex numbers, quadratic equations, trigonometry, functions, and integral and differential calculus. Titchmarsh's graceful, fluid style helps make complicated topics easier to grasp, and his inclusion of numerous examples will prove especially helpful to readers with little or no background in mathematics. |
| double bracket in math: Poisson Structures Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke, 2012-08-27 Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of these contexts, it turns out that the Poisson structure is not a theoretical artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to the problem in nearly all cases. Poisson Structures is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures. The first part covers solid foundations, the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications of Poisson structures (integrable systems and deformation quantization). The clear structure of the book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researchers who are interested in an introduction to the many facets and applications of Poisson structures. |
| double bracket in math: Double Bracket Periodic Toda Lattice and the Projection of Limit Invariant Tori Octavian Teodor Popp, 1995 |
| double bracket in math: Linear Algebra Georgi? Evgen?evich Shilov, 1977-06-01 Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers. |
| double bracket in math: The Knot Book Colin Conrad Adams, 2004 Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics. |
| double bracket in math: Mathematical Control Theory John B. Baillieul, J.C. Willems, 2012-12-06 This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research. |
| double bracket in math: Mathematical Systems Theory in Biology, Communications, Computation and Finance Joachim Rosenthal, David S. Gilliam, 2012-12-06 This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists. |
| double bracket in math: My Best Mathematical and Logic Puzzles Martin Gardner, 2013-04-10 The noted expert selects 70 of his favorite short puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included. |
| double bracket in math: Geometric Mechanics and Symmetry Darryl D. Holm, Tanya Schmah, Cristina Stoica, 2009-07-30 A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject. |
| double bracket in math: Current and Future Directions in Applied Mathematics Mark Alber, Bei Hu, Joachim Rosenthal, 2012-12-06 Mark Alber, Bei Hu and Joachim Rosenthal ... ... vii Part I Some Remarks on Applied Mathematics Roger Brockett ... ... ... ... ... 1 Mathematics is a Profession Christopher 1. Byrnes ... ... ... ... . 4 Comments on Applied Mathematics Avner Friedman ... ... ... ... . . 9 Towards an Applied Mathematics for Computer Science Jeremy Gunawardena ... ... ... ... . 11 Infomercial for Applied Mathematics Darryl Holm ... ... ... ... ... 15 On Research in Mathematical Economics M. Ali Khan ... ... ... ... ... 21 Applied Mathematics in the Computer and Communications Industry Brian Marcus ... ... ... ... ... 25 'frends in Applied Mathematics Jerrold E. Marsden ... ... ... ... 28 Applied Mathematics as an Interdisciplinary Subject Clyde F. Martin ... ... ... ... . 31 vi Contents Panel Discussion on Future Directions in Applied Mathe matics Laurence R. Taylor ... ... ... ... 38 Part II Feedback Stabilization of Relative Equilibria for Mechanical Systems with Symmetry A.M. Bloch, J.E. Marsden and G. Sanchez ... ... . 43 Oscillatory Descent for Function Minimization R. Brockett ... ... ... ... ... 65 On the Well-Posedness of the Rational Covariance Extension Problem C. l. Byrnes, H.J. Landau and A. Lindquist ... ... 83 Singular Limits in Fluid Mechanics P. Constantin ... ... ... ... ... 109 Singularities and Defects in Patterns Far from Threshold N.M. Ercolani ... ... ... ... ... 137 Mathematical Modeling and Simulation for Applications of Fluid Flow in Porous Media R.E. Ewing ... ... ... ... ... 161 On Loeb Measure Spaces and their Significance for N on Cooperative Game Theory M.A. Khan and Y. Sun ... ... ... ... 183 Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms J.E. Marsden and J.M. Wendlandt ... ... ... 219 Preface The applied sciences are faced with increasingly complex problems which call for sophisticated mathematical models. |
| double bracket in math: Introduction to Mechanics and Symmetry Jerrold E. Marsden, Tudor S. Ratiu, 2013-03-19 A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available. |
| double bracket in math: Geometry of Differential Equations A. G. Khovanskiĭ, Aleksandr Nikolaevich Varchenko, V. A. Vasilʹev, 1998 This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics. |
| double bracket in math: Nonholonomic Mechanics and Control A.M. Bloch, 2015-11-05 This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques. |
| double bracket in math: Doing Physics with Scientific Notebook Joseph Gallant, 2012-03-05 The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies, SNB can be used as a notebook in which students set up a math or science problem, write and solve equations, and analyze and discuss their results. Written by a physics teacher with over 20 years experience, this text includes topics that have educational value, fit within the typical physics curriculum, and show the benefits of using SNB. This easy-to-read text: Provides step-by-step instructions for using Scientific Notebook (SNB) to solve physics problems Features examples in almost every section to enhance the reader's understanding of the relevant physics and to provide detailed instructions on using SNB Follows the traditional physics curriculum, so it can be used to supplement teaching at all levels of undergraduate physics Includes many problems taken from the author’s class notes and research Aimed at undergraduate physics and engineering students, this text teaches readers how to use SNB to solve some everyday physics problems. |
| double bracket in math: Motion, Control, and Geometry National Research Council, Division on Engineering and Physical Sciences, Commission on Physical Sciences, Mathematics, and Applications, Board on Mathematical Sciences, 1997-05-07 Some of the modem developments described in Motion, Control, and Geometry include the geometric control of robot motion and craft orientation, how high-power precision micromotors are engineered for less invasive surgery and self-focusing lens applications, what a mobile robot on a surface has in common with one moving in three dimensions, and how the motion-control problem is simplified by a coupled oscillator's geometric grouping of degrees of freedom and motion time scales. The four papers in these proceedings provide a view through the scientific portal of today's motion-control geometric research into tomorrow's technology. The mathematics needed to carry out this research is that of modem differential geometry, and the questions raised in the field of motion-control geometry go directly to the research frontier. Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of motion-that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: Let no one ignorant of geometry enter here. Readers of these chapters will gain an appreciation of modem geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology. |
| double bracket in math: Optimization Algorithms on Matrix Manifolds P.-A. Absil, R. Mahony, Rodolphe Sepulchre, 2009-04-11 Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists. |
| double bracket in math: Category Theory in Context Emily Riehl, 2017-03-09 Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition. |
| double bracket in math: Practical Programming in Tcl and Tk Brent B. Welch, Ken Jones, Jeffrey Hobbs, 2003 The bulk of the book is about Tcl scripting and the aspects of C programming to create Tcl extentions is given a lighter treatment.--Author. |
| double bracket in math: Guide to Essential Math Sy M. Blinder, 2013-02-14 This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. - Use of proven pedagogical techniques developed during the author's 40 years of teaching experience - New practice problems and exercises to enhance comprehension - Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables |
| double bracket in math: Open Problems in Mathematical Systems and Control Theory Vincent D. Blondel, Eduardo D. Sontag, Mathukumalli Vidyasagar, Jan C. Willems, 2012-12-06 System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area. |
| double bracket in math: Java Illuminated Julie Anderson, Hervé J. Franceschi, 2022-10-20 Written for the one- to three-term introductory programming course, the sixth edition of Java Illuminated provides learners with an interactive, user-friendly approach to learning the Java programming language. Comprehensive but accessible, the text takes a progressive approach to object-oriented programming, allowing students to build on established skills to develop new and increasingly complex classes. Java Illuminated follows an activity-based active learning approach that ensures student engagement and interest. In addition, the text presents other topics of interest, including graphical user interfaces (GUI), data structures, file input and output, and graphical applications. |
| double bracket in math: Libre office 5.1 Math Formula eBook Lalit Mali, 2017-05-06 Libre Office 5.1 Math Formula application teaches you, learn about formula. • Explore libre office & it’s all application in detail name writer, calc, impress, base, draw, math, step of installation libre office 5.1 suits in windows. • Free of cost, open source, support all platform, versatile application allow dealing with many license and open source extension in libre office suites. • Libre office math application provide interface to dealing with all kind of formulas, equation and mathematic logical condition. • Dealing with libre office unary/binary operators, set relationship, set operators, insert function, adding attributes, brackets, format, other & some math built in example. • Insert libre office math symbol name greek, igreek, & special symbol, create new, open save formula equation, edit, view, format formula expression logic, with add tools. • Explain each and every math formula elements window with its tag name of all control, dialog, window & controls. • Demonstrate each and every math expression document toolbar with its label tag information all one by one. |
| double bracket in math: Real-Time Collision Detection Christer Ericson, 2004-12-22 Written by an expert in the game industry, Christer Ericson's new book is a comprehensive guide to the components of efficient real-time collision detection systems. The book provides the tools and know-how needed to implement industrial-strength collision detection for the highly detailed dynamic environments of applications such as 3D games, virt |
| double bracket in math: Mathematical Reviews , 2006 |
| double bracket in math: The Mathematics of Chip-Firing Caroline J. Klivans, 2018-11-15 The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics. |
| double bracket in math: Challenge and Thrill of Pre-College Mathematics V Krishnamurthy, C R Pranesachar, 2007 Challenge And Thrill Of Pre-College Mathematics Is An Unusual Enrichment Text For Mathematics Of Classes 9, 10, 11 And 12 For Use By Students And Teachers Who Are Not Content With The Average Level That Routine Text Dare Not Transcend In View Of Their Mass Clientele. It Covers Geometry, Algebra And Trigonometry Plus A Little Of Combinatorics. Number Theory And Probability. It Is Written Specifically For The Top Half Whose Ambition Is To Excel And Rise To The Peak Without Finding The Journey A Forced Uphill Task.The Undercurrent Of The Book Is To Motivate The Student To Enjoy The Pleasures Of A Mathematical Pursuit And Of Problem Solving. More Than 300 Worked Out Problems (Several Of Them From National And International Olympiads) Share With The Student The Strategy, The Excitement, Motivation, Modeling, Manipulation, Abstraction, Notation And Ingenuity That Together Make Mathematics. This Would Be The Starting Point For The Student, Of A Life-Long Friendship With A Sound Mathematical Way Of Thinking.There Are Two Reasons Why The Book Should Be In The Hands Of Every School Or College Student, (Whether He Belongs To A Mathematics Stream Or Not) One, If He Likes Mathematics And, Two, If He Does Not Like Mathematics- The Former, So That The Cramped Robot-Type Treatment In The Classroom Does Not Make Him Into The Latter; And The Latter So That By The Time He Is Halfway Through The Book, He Will Invite Himself Into The Former. |
| double bracket in math: Eats, Shoots & Leaves Lynne Truss, 2004-04-12 We all know the basics of punctuation. Or do we? A look at most neighborhood signage tells a different story. Through sloppy usage and low standards on the internet, in email, and now text messages, we have made proper punctuation an endangered species. In Eats, Shoots & Leaves, former editor Lynne Truss dares to say, in her delightfully urbane, witty, and very English way, that it is time to look at our commas and semicolons and see them as the wonderful and necessary things they are. This is a book for people who love punctuation and get upset when it is mishandled. From the invention of the question mark in the time of Charlemagne to George Orwell shunning the semicolon, this lively history makes a powerful case for the preservation of a system of printing conventions that is much too subtle to be mucked about with. |
| double bracket in math: Momentum Maps and Hamiltonian Reduction Juan-Pablo Ortega, Tudor S. Ratiu, 2013-04-17 * Winner of the Ferran Sunyer i Balaguer Prize in 2000. * Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and symplectic manifolds. * Currently in classroom use in Europe. * Can serve as a resource for graduate courses and seminars in Hamiltonian mechanics and symmetry, symplectic and Poisson geometry, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers. |
| double bracket in math: Counterexamples in Analysis Bernard R. Gelbaum, John M. H. Olmsted, 2012-07-12 These counterexamples deal mostly with the part of analysis known as real variables. Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition. |
| double bracket in math: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
| double bracket in math: bash Cookbook Carl Albing, JP Vossen, 2017-10-04 For system administrators, programmers, and end users, shell command or carefully crafted shell script can save you time and effort, or facilitate consistency and repeatability for a variety of common tasks. This cookbook provides more than 300 practical recipes for using bash, the popular Unix shell that enables you to harness and customize the power of any Unix or Linux system. Ideal for new and experienced users alike—including proficient Windows users and sysadmins—this updated second edition helps you solve a wide range of problems. You’ll learn ways to handle input/output, file manipulation, program execution, administrative tasks, and many other challenges. Each recipe includes one or more scripting examples and a discussion of why the solution works. You’ll find recipes for problems including: Standard output and input, and executing commands Shell variables, shell logic, and arithmetic Intermediate shell tools and advanced scripting Searching for files with find, locate, and slocate Working with dates and times Creating shell scripts for various end-user tasks Working with tasks that require parsing Writing secure shell scripts Configuring and customizing bash |
| double bracket in math: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
| double bracket in math: Stochastic Geometric Mechanics Sergio Albeverio, Ana Bela Cruzeiro, Darryl Holm, 2017-11-17 Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics. |
| double bracket in math: The Student's Introduction to Mathematica and the Wolfram Language Bruce F. Torrence, Eve A. Torrence, 2019-05-16 An introduction to Mathematica® and the Wolfram Language(TM) in the familiar context of the standard university mathematics curriculum. |
| double bracket in math: Recent Trends in Dynamical Systems Andreas Johann, Hans-Peter Kruse, Florian Rupp, Stephan Schmitz, 2013-09-24 This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation - Geometric mechanics and control theory - Invariant manifolds, attractors and chaos - Fluid mechanics and elasticity - Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume. |
| double bracket in math: Advances in the Theory of Control, Signals and Systems with Physical Modeling Jean Levine, Philippe Müllhaupt, 2010-09-30 In the 60's, control, signals and systems had a common linear algebraic background and, according to their evolution, their respective backgrounds have now dramatically differed. Recovering such a common background, especially in the nonlinear context, is currently a fully open question. The role played by physical models, finite or infinite dimensional, in this hypothetical convergence is extensively discussed in this book. The discussion does not only take place on a theoretical basis but also in the light of two wide classes of applications, among the most active in the current industrially oriented researches: - Electrical and Mechatronical systems; - Chemical Processes and systems appearing in Life Sciences. In this perspective, this book is a contribution to the enhancement of the dialogue between theoretical laboratories and more practically oriented ones and industries. This book is a collection of articles that have been presented by leading international experts at a series of three workshops of a Bernoulli program entitled “Advances in the Theory of Control, Signals and Systems, with Physical Modeling” hosted by the Bernoulli Centre of EPFL during the first semester of 2009. It provides researchers, engineers and graduate students with an unprecedented collection of topics and internationally acknowledged top-quality works and surveys. |
What is the difference between float and double? - Stack Overflow
Dec 31, 2021 · Type double, 64 bits long, has a bigger range (*10^+/-308) and 15 digits precision. Type long double is nominally 80 bits, though a given compiler/OS pairing may store it as 12 …
How do I print a double value with full precision using cout?
Dec 17, 2020 · A double is a floating point type, not fixed point. Do not use std::fixed as that fails to print small double as anything but 0.000...000. For large double, it prints many digits, …
Difference between long double and double in C and C++
Apr 22, 2015 · The standard only requires that long double is at least as precise as double, so some compilers will simply treat long double as if it is the same as double. But, on most x86 …
Correct format specifier for double in printf - Stack Overflow
Format %lf is a perfectly correct printf format for double, exactly as you used it. There's nothing wrong with your code. There's nothing wrong with your code. Format %lf in printf was not …
Reading in double values with scanf in c - Stack Overflow
Oct 7, 2017 · I found out that there is a problem with the length of double on 32 bit OS, so that you are forced to use scanf("%lf", &f) to read in a double. No matter what I do, second value is …
decimal vs double! - Which one should I use and when?
Jul 22, 2009 · To clear this up double does not have 16 digits - that is only the number of meaningful digits. Floats are based around exponents in base 2 math - some base 10 …
How to Code Double Quotes via HTML Codes - Stack Overflow
Feb 28, 2013 · I was just curious as to why there needs to be 3 different ways to code a double quotes in html codes, for example. – H. Ferrence Commented Feb 28, 2013 at 12:48
Difference between decimal, float and double in .NET?
Mar 6, 2009 · Double: It is also a floating binary point type variable with double precision and 64 bits size(15-17 significant figures). Double are probably the most generally used data type for …
What is the size of float and double in C and C++? [duplicate]
Aug 27, 2014 · The set of values of the type float is a subset of the set of values of the type double; the set of values of the type double is a subset of the set of values of the type long …
What does the !! (double exclamation mark) operator do in …
The double negation operator !! calculates the truth value of a value. It's actually two operators, where !!x means !(!x), and behaves as follows: If x is a false value, !x is true, and !!x is false. If …
What is the difference between float and double? - Stack Overflow
Dec 31, 2021 · Type double, 64 bits long, has a bigger range (*10^+/-308) and 15 digits precision. Type long double is nominally 80 bits, though a given compiler/OS pairing may store it as 12-16 …
How do I print a double value with full precision using cout?
Dec 17, 2020 · A double is a floating point type, not fixed point. Do not use std::fixed as that fails to print small double as anything but 0.000...000. For large double, it prints many digits, …
Difference between long double and double in C and C++
Apr 22, 2015 · The standard only requires that long double is at least as precise as double, so some compilers will simply treat long double as if it is the same as double. But, on most x86 …
Correct format specifier for double in printf - Stack Overflow
Format %lf is a perfectly correct printf format for double, exactly as you used it. There's nothing wrong with your code. There's nothing wrong with your code. Format %lf in printf was not …
Reading in double values with scanf in c - Stack Overflow
Oct 7, 2017 · I found out that there is a problem with the length of double on 32 bit OS, so that you are forced to use scanf("%lf", &f) to read in a double. No matter what I do, second value is …
decimal vs double! - Which one should I use and when?
Jul 22, 2009 · To clear this up double does not have 16 digits - that is only the number of meaningful digits. Floats are based around exponents in base 2 math - some base 10 numbers …
How to Code Double Quotes via HTML Codes - Stack Overflow
Feb 28, 2013 · I was just curious as to why there needs to be 3 different ways to code a double quotes in html codes, for example. – H. Ferrence Commented Feb 28, 2013 at 12:48
Difference between decimal, float and double in .NET?
Mar 6, 2009 · Double: It is also a floating binary point type variable with double precision and 64 bits size(15-17 significant figures). Double are probably the most generally used data type for …
What is the size of float and double in C and C++? [duplicate]
Aug 27, 2014 · The set of values of the type float is a subset of the set of values of the type double; the set of values of the type double is a subset of the set of values of the type long …
What does the !! (double exclamation mark) operator do in …
The double negation operator !! calculates the truth value of a value. It's actually two operators, where !!x means !(!x), and behaves as follows: If x is a false value, !x is true, and !!x is false. If …
