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| double square brackets 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 square brackets math: LibreOffice 4.0 Math Guide LibreOffice Documentation Team, 2013 LibreOffice is a freely-available, full-featured office suite. It runs on Windows, Linux, and Mac OS X computers. Math is a simple equation editor that lets you lay out and display mathematical, chemical, electrical or scientific equations quickly in standard written notation. It is most commonly used in LibreOffice Writer for text documents, but it can also be used with other types of documents or stand-alone. This book includes instructions for writing equations using Math and a reference list of the commands used in the program. |
| double square brackets 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 square brackets 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 square brackets math: The Mathematical-Function Computation Handbook Nelson H.F. Beebe, 2017-08-20 This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades. |
| double square brackets 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 square brackets 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 square brackets math: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
| double square brackets 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 square brackets math: CliffsNotes Basic Math and Pre-Algebra Practice Pack Jonathan J. White, Teri Stimmel, Scott Searcy, Danielle Lutz, 2010-03-15 Presents study tools for basic math and pre-algebra including subject reviews, hundreds of practice problems, a diagnostic test, and a full-length test with answers that adapts to one's skill level. Includes a CD-ROM with six hundred practice problems. |
| double square brackets math: The Student's Introduction to Mathematica and the Wolfram Language Bruce F. Torrence, Eve A. Torrence, 2019-05-16 The unique feature of this compact student's introduction to Mathematica® and the Wolfram LanguageTM is that the order of the material closely follows a standard mathematics curriculum. As a result, it provides a brief introduction to those aspects of the Mathematica® software program most useful to students. Used as a supplementary text, it will help bridge the gap between Mathematica® and the mathematics in the course, and will serve as an excellent tutorial for former students. There have been significant changes to Mathematica® since the second edition, and all chapters have now been updated to account for new features in the software, including natural language queries and the vast stores of real-world data that are now integrated through the cloud. This third edition also includes many new exercises and a chapter on 3D printing that showcases the new computational geometry capabilities that will equip readers to print in 3D. |
| double square brackets math: A Mathematics Course for Political and Social Research Will H. Moore, David A. Siegel, 2013-08-11 Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a math camp or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features Why Do I Care? sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line Solution Set) Selected solutions available online to students |
| double square brackets 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 square brackets math: Basic Math and Pre-Algebra Workbook For Dummies Mark Zegarelli, 2009-01-29 When you have the right math teacher, learning math can be painless and even fun! Let Basic Math and Pre-Algebra Workbook For Dummies teach you how to overcome your fear of math and approach the subject correctly and directly. A lot of the topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here! Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You’ll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to: Properly use negative numbers, units, inequalities, exponents, square roots, and absolute value Round numbers and estimate answers Solve problems with fractions, decimals, and percentages Navigate basic geometry Complete algebraic expressions and equations Understand statistics and sets Uncover the mystery of FOILing Answer sample questions and check your answers Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra Workbook For Dummies will demystify math and help you start solving problems in no time! |
| double square brackets math: Advanced Bash Scripting Guide Mendel Cooper, 2014 |
| double square brackets math: Wagner’s Theory of Generalised Heaps Christopher D. Hollings, Mark V. Lawson, 2017-09-09 The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications. |
| double square brackets math: Encyclopaedia of Mathematics Michiel Hazewinkel, 2012-12-06 This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathema tics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclo paedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reason ably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of pre cise theorems with detailed definitions and technical details on how to carry out proofs and con structions. |
| double square brackets math: Let's Play Math Denise Gaskins, 2012-09-04 |
| double square brackets 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 square brackets math: Encyclopaedia of Mathematics M. Hazewinkel, 2013-12-01 |
| double square brackets math: Combinatorics: The Art of Counting Bruce E. Sagan, 2020-10-16 This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular. |
| double square brackets math: Teaching Mathematics Online: Emergent Technologies and Methodologies Juan, Angel A., Huertas, Maria A., Trenholm, Sven, Steegmann, Cristina, 2011-08-31 This book shares theoretical and applied pedagogical models and systems used in math e-learning including the use of computer supported collaborative learning, which is common to most e-learning practices--Provided by publisher. |
| double square brackets math: Wikipedia: The Missing Manual John Broughton, 2008-01-25 Want to be part of the largest group-writing project in human history? Learn how to contribute to Wikipedia, the user-generated online reference for the 21st century. Considered more popular than eBay, Microsoft.com, and Amazon.com, Wikipedia servers respond to approximately 30,000 requests per second, or about 2.5 billion per day. It's become the first point of reference for people the world over who need a fact fast. If you want to jump on board and add to the content, Wikipedia: The Missing Manual is your first-class ticket. Wikipedia has more than 9 million entries in 250 languages, over 2 million articles in the English language alone. Each one is written and edited by an ever-changing cast of volunteer editors. You can be one of them. With the tips in this book, you'll quickly learn how to get more out of -- and put more into -- this valuable online resource. Wikipedia: The Missing Manual gives you practical advice on creating articles and collaborating with fellow editors, improving existing articles, and working with the Wikipedia community to review new articles, mediate disputes, and maintain the site. Up to the challenge? This one-of-a-kind book includes: Basic editing techniques, including the right and wrong ways to edit Pinpoint advice about which types of articles do and do not belong on Wikipedia Ways to learn from other editors and communicate with them via the site's talk pages Tricks for using templates and timesaving automated editing tools Recommended procedures for fighting spam and vandalism Guidance on adding citations, links, and images to your articles Wikipedia depends on people just like you to help the site grow and maintain the highest quality. With Wikipedia: The Missing Manual, you get all the tools you need to be part of the crew. |
| double square brackets 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 square brackets math: Introduction to Probability David F. Anderson, Timo Seppäläinen, Benedek Valkó, 2017-11-02 This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work. |
| double square brackets 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 square brackets math: Foundations for the Future in Mathematics Education Richard A. Lesh, Eric Hamilton, James J. Kaput, 2020-10-07 The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education. |
| double square brackets 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 square brackets 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 square brackets math: Symplectic Topology and Measure Preserving Dynamical Systems Albert Fathi, Yong-Geun Oh, Claude Viterbo, 2010-04-09 The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007. The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology. |
| double square brackets math: High-Dimensional Probability Roman Vershynin, 2018-09-27 An integrated package of powerful probabilistic tools and key applications in modern mathematical data science. |
| double square brackets math: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| double square brackets 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 square brackets math: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| double square brackets math: Journal for Research in Mathematics Education , 2011 |
| double square brackets math: The Mathematics of Diffusion John Crank, 1979 Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained. |
| double square brackets math: Quantization, Poisson Brackets and Beyond Theodore Voronov, 2002 The papers in this volume are based on talks given at the 2001 Manchester Meeting of the London Mathematical Society, which was followed by an international workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics. Focus is on the topics suggested by the title: quantization in its various aspects, Poisson brackets and generalizations, and structures beyond'' this, including symplectic supermanifolds, operads, Lie groupoids and Lie (bi)algebroids, and algebras with $n$-ary operations. The book offers accounts of up-to-date results as well as accessible expositions aimed at a broad reading audience of researchers in differential geometry, algebraic topology and mathematical physics. |
| double square brackets math: The Trachtenberg Speed System of Basic Mathematics Jakow Trachtenberg, 2011-03-01 Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers. |
| double square brackets math: Math Proofs Demystified Stan Gibilisco, 2005-05-13 Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard “Demystified” level, questions and answers, and accessibility. |
| double square brackets math: PowerShell in Depth Don Jones, Jeffery Hicks, Richard Siddaway, 2014-10-31 Summary PowerShell in Depth, Second Edition is the go-to reference for administrators working with Windows PowerShell. Every major technique, technology, and tactic is carefully explained and demonstrated, providing a hands-on guide to almost everything an admin would do in the shell. Written by three experienced authors and PowerShell MVPs, this is the PowerShell book you'll keep next to your monitor—not on your bookshelf! Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Book A Windows admin using PowerShell every day may not have the time to search the net every time he or she hits a snag. Wouldn't it be great to have a team of seasoned PowerShell experts ready to answer even the toughest questions? That's what you get with this book. PowerShell in Depth, Second Edition is the go-to reference for administrators working with Windows PowerShell. Every major technique, technology, and tactic is carefully explained and demonstrated, providing a hands-on guide to almost everything an admin would do in the shell. Written by PowerShell MVPs Don Jones, Jeffrey Hicks, and Richard Siddaway, each valuable technique was developed and thoroughly tested, so you'll be able to consistently write production-quality, maintainable scripts while saving hours of time and effort. This book assumes you know the basics of PowerShell. What's Inside Automating tasks Packaging and deploying scripts Introduction to Desired State Configuration PowerShell security Covers PowerShell version 3 and later About the Authors Don Jones, Jeffery Hicks, and Richard Siddaway are Microsoft MVPs, trainers, and administrators. Collectively, they've authored nearly three dozen books on PowerShell and Windows administration. Table of Contents PART 1 POWERSHELL FUNDAMENTALS Introduction PowerShell hosts Using the PowerShell help system The basics of PowerShell syntax Working with PSSnapins and modules Operators Working with objects The PowerShell pipeline Formatting PART 2 POWERSHELL MANAGEMENT PowerShell Remoting Background jobs and scheduling Working with credentials Regular expressions Working with HTML and XML data PSDrives and PSProviders Variables, arrays, hash tables, and script blocks PowerShell security Advanced PowerShell syntax PART 3 POWERSHELL SCRIPTING AND AUTOMATION PowerShell's scripting language Basic scripts and functions Creating objects for output Scope PowerShell workflows Advanced syntax for scripts and functions Script modules and manifest modules Custom formatting views Custom type extensions Data language and internationalization Writing help Error handling techniques Debugging tools and techniques Functions that work like cmdlets Tips and tricks for creating reports PART 4 ADVANCED POWERSHELL Working with the Component Object Model (COM) Working with .NET Framework objects Accessing databases Proxy functions Building a GUI WMI and CIM Working with the web Desired State Configuration |
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 …
