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| definition of an array in math: Python for Data Analysis Wes McKinney, 2017-09-25 Get complete instructions for manipulating, processing, cleaning, and crunching datasets in Python. Updated for Python 3.6, the second edition of this hands-on guide is packed with practical case studies that show you how to solve a broad set of data analysis problems effectively. You’ll learn the latest versions of pandas, NumPy, IPython, and Jupyter in the process. Written by Wes McKinney, the creator of the Python pandas project, this book is a practical, modern introduction to data science tools in Python. It’s ideal for analysts new to Python and for Python programmers new to data science and scientific computing. Data files and related material are available on GitHub. Use the IPython shell and Jupyter notebook for exploratory computing Learn basic and advanced features in NumPy (Numerical Python) Get started with data analysis tools in the pandas library Use flexible tools to load, clean, transform, merge, and reshape data Create informative visualizations with matplotlib Apply the pandas groupby facility to slice, dice, and summarize datasets Analyze and manipulate regular and irregular time series data Learn how to solve real-world data analysis problems with thorough, detailed examples |
| definition of an array in math: Understanding and Using C Pointers Richard M Reese, 2013-05-01 Improve your programming through a solid understanding of C pointers and memory management. With this practical book, you’ll learn how pointers provide the mechanism to dynamically manipulate memory, enhance support for data structures, and enable access to hardware. Author Richard Reese shows you how to use pointers with arrays, strings, structures, and functions, using memory models throughout the book. Difficult to master, pointers provide C with much flexibility and power—yet few resources are dedicated to this data type. This comprehensive book has the information you need, whether you’re a beginner or an experienced C or C++ programmer or developer. Get an introduction to pointers, including the declaration of different pointer types Learn about dynamic memory allocation, de-allocation, and alternative memory management techniques Use techniques for passing or returning data to and from functions Understand the fundamental aspects of arrays as they relate to pointers Explore the basics of strings and how pointers are used to support them Examine why pointers can be the source of security problems, such as buffer overflow Learn several pointer techniques, such as the use of opaque pointers, bounded pointers and, the restrict keyword |
| definition of an array in math: Think Java Allen B. Downey, Chris Mayfield, 2016-05-06 Currently used at many colleges, universities, and high schools, this hands-on introduction to computer science is ideal for people with little or no programming experience. The goal of this concise book is not just to teach you Java, but to help you think like a computer scientist. You’ll learn how to program—a useful skill by itself—but you’ll also discover how to use programming as a means to an end. Authors Allen Downey and Chris Mayfield start with the most basic concepts and gradually move into topics that are more complex, such as recursion and object-oriented programming. Each brief chapter covers the material for one week of a college course and includes exercises to help you practice what you’ve learned. Learn one concept at a time: tackle complex topics in a series of small steps with examples Understand how to formulate problems, think creatively about solutions, and write programs clearly and accurately Determine which development techniques work best for you, and practice the important skill of debugging Learn relationships among input and output, decisions and loops, classes and methods, strings and arrays Work on exercises involving word games, graphics, puzzles, and playing cards |
| definition of an array in math: Programming Fundamentals Kenneth Leroy Busbee, 2018-01-07 Programming Fundamentals - A Modular Structured Approach using C++ is written by Kenneth Leroy Busbee, a faculty member at Houston Community College in Houston, Texas. The materials used in this textbook/collection were developed by the author and others as independent modules for publication within the Connexions environment. Programming fundamentals are often divided into three college courses: Modular/Structured, Object Oriented and Data Structures. This textbook/collection covers the rest of those three courses. |
| definition of an array in math: Machine Learning with Python Cookbook Chris Albon, 2018-03-09 This practical guide provides nearly 200 self-contained recipes to help you solve machine learning challenges you may encounter in your daily work. If you’re comfortable with Python and its libraries, including pandas and scikit-learn, you’ll be able to address specific problems such as loading data, handling text or numerical data, model selection, and dimensionality reduction and many other topics. Each recipe includes code that you can copy and paste into a toy dataset to ensure that it actually works. From there, you can insert, combine, or adapt the code to help construct your application. Recipes also include a discussion that explains the solution and provides meaningful context. This cookbook takes you beyond theory and concepts by providing the nuts and bolts you need to construct working machine learning applications. You’ll find recipes for: Vectors, matrices, and arrays Handling numerical and categorical data, text, images, and dates and times Dimensionality reduction using feature extraction or feature selection Model evaluation and selection Linear and logical regression, trees and forests, and k-nearest neighbors Support vector machines (SVM), naïve Bayes, clustering, and neural networks Saving and loading trained models |
| definition of an array in math: First Grade Math with Confidence Instructor Guide (Math with Confidence) Kate Snow, 2021-06-01 Easy-to-use, comprehensive coverage of all essential first grade math topics. This scripted, open-and-go program from math educator Kate Snow will give you the tools you need to teach math with confidence—even if you’ve never taught math before. Short, engaging, and hands-on lessons will help your child develop a strong understanding of math, step by step. Counting, comparing, and writing numbers to 100 Addition and subtraction facts to 20 Addition and subtraction word problems Beginning place-value and mental math Shapes, money, time, and measurement |
| definition of an array in math: Learning R Richard Cotton, 2013-09-09 Learn how to perform data analysis with the R language and software environment, even if you have little or no programming experience. With the tutorials in this hands-on guide, youâ??ll learn how to use the essential R tools you need to know to analyze data, including data types and programming concepts. The second half of Learning R shows you real data analysis in action by covering everything from importing data to publishing your results. Each chapter in the book includes a quiz on what youâ??ve learned, and concludes with exercises, most of which involve writing R code. Write a simple R program, and discover what the language can do Use data types such as vectors, arrays, lists, data frames, and strings Execute code conditionally or repeatedly with branches and loops Apply R add-on packages, and package your own work for others Learn how to clean data you import from a variety of sources Understand data through visualization and summary statistics Use statistical models to pass quantitative judgments about data and make predictions Learn what to do when things go wrong while writing data analysis code |
| definition of an array in math: Common Core Math For Parents For Dummies with Videos Online Christopher Danielson, 2015-04-06 Help your child succeed with a better understanding of Common Core Math Common Core Math For Parents For Dummies is packed with tools and information to help you promote your child's success in math. The grade-by-grade walk-through brings you up to speed on what your child is learning, and the sample problems and video lessons help you become more involved as you study together. You'll learn how to effectively collaborate with teachers and keep tabs on your child's progress, so minor missteps can be corrected quickly, before your child falls behind. The Common Core was designed to improve college- and career-readiness, and to prepare U.S. students to be more competitive on an international stage when it's time to enter the workforce. This guide shows you how the standards were created, and how they've evolved over time to help ensure your child's future success. The Common Core Math Standards prepare students to do real math in the real world. Many new teaching methods are very different from the way most parents learned math, leading to frustration and confusion as parents find themselves unable to help with homework or explain difficult concepts. This book cuts the confusion and shows you everything you need to know to help your child succeed in math. Understand the key concepts being taught in your child's grade Utilize the homework tools that help you help your child Communicate more effectively with your child's teacher Guide your child through sample problems to foster understanding The Common Core was designed to ensure that every student, regardless of location or background, receives the education they need. Math skills are critical to real-world success, and the new standards reflect that reality in scope and rigorousness. Common Core Math For Parents For Dummies helps you help your child succeed. |
| definition of an array in math: Mathematics of Big Data Jeremy Kepner, Hayden Jananthan, 2018-08-07 The first book to present the common mathematical foundations of big data analysis across a range of applications and technologies. Today, the volume, velocity, and variety of data are increasing rapidly across a range of fields, including Internet search, healthcare, finance, social media, wireless devices, and cybersecurity. Indeed, these data are growing at a rate beyond our capacity to analyze them. The tools—including spreadsheets, databases, matrices, and graphs—developed to address this challenge all reflect the need to store and operate on data as whole sets rather than as individual elements. This book presents the common mathematical foundations of these data sets that apply across many applications and technologies. Associative arrays unify and simplify data, allowing readers to look past the differences among the various tools and leverage their mathematical similarities in order to solve the hardest big data challenges. The book first introduces the concept of the associative array in practical terms, presents the associative array manipulation system D4M (Dynamic Distributed Dimensional Data Model), and describes the application of associative arrays to graph analysis and machine learning. It provides a mathematically rigorous definition of associative arrays and describes the properties of associative arrays that arise from this definition. Finally, the book shows how concepts of linearity can be extended to encompass associative arrays. Mathematics of Big Data can be used as a textbook or reference by engineers, scientists, mathematicians, computer scientists, and software engineers who analyze big data. |
| definition of an array in math: Coding with JavaScript For Dummies Chris Minnick, Eva Holland, 2015-05-12 Go from beginner to builder quickly with this hands-on JavaScript guide Coding with JavaScript For Dummies provides easy, hands-on instruction for anyone looking to learn this popular client-side language. No experience? No problem! This friendly guide starts from the very beginning and walks you through the basics, then shows you how to apply what you've learned to real projects. You'll start building right away, including web page elements and simple applications, so you can immediately see how JavaScript is used in the real world. Online exercises allow you to test your code and expand your skills, and the easy-to-follow instruction provides step-by-step guidance toward understanding the JavaScript syntax, applications, and language. JavaScript enhances static web pages by providing dynamic elements that can adapt and react to user action. It's a need-to-know tool for aspiring web designers, but anyone can benefit from understanding this core development language. Coding with JavaScript For Dummies takes you from beginner to builder quickly as you: Learn what JavaScript does, how it works, and where to use it Master the core elements of JavaScript and immediately put it to work Build interactive web elements and try out your code online Create basic applications as you apply JavaScript to the app development workflow Anytime a website responds to your movement around the screen, that's JavaScript. It makes websites more functional, more beautiful, and more engaging, and your site visitors will demand nothing less. If you want to build a better website, you need JavaScript. If you need JavaScript, Coding with JavaScript For Dummies gets you started off quickly and painlessly, with plenty of hands-on practice. |
| definition of an array in math: English 3D Kate Kinsella, 2017 English 3D was designed to accelerate language development for English learners who have agility with social interactional English while lacking the advanced linguisitic knowledge and skills required by complex coursework in school. English 3D propels students to higher language proficiency through a consistent series of lessons derived from research-based principles and classroom-tested practices that maximize students' verbal and written engagement with conceptually rigorous content.--Teaching Guide Course A, Volume 1, Overview p. T10. |
| definition of an array in math: Fundamentals of Computer Programming with C# Svetlin Nakov, Veselin Kolev, 2013-09-01 The free book Fundamentals of Computer Programming with C# is a comprehensive computer programming tutorial that teaches programming, logical thinking, data structures and algorithms, problem solving and high quality code with lots of examples in C#. It starts with the first steps in programming and software development like variables, data types, conditional statements, loops and arrays and continues with other basic topics like methods, numeral systems, strings and string processing, exceptions, classes and objects. After the basics this fundamental programming book enters into more advanced programming topics like recursion, data structures (lists, trees, hash-tables and graphs), high-quality code, unit testing and refactoring, object-oriented principles (inheritance, abstraction, encapsulation and polymorphism) and their implementation the C# language. It also covers fundamental topics that each good developer should know like algorithm design, complexity of algorithms and problem solving. The book uses C# language and Visual Studio to illustrate the programming concepts and explains some C# / .NET specific technologies like lambda expressions, extension methods and LINQ. The book is written by a team of developers lead by Svetlin Nakov who has 20+ years practical software development experience. It teaches the major programming concepts and way of thinking needed to become a good software engineer and the C# language in the meantime. It is a great start for anyone who wants to become a skillful software engineer. The books does not teach technologies like databases, mobile and web development, but shows the true way to master the basics of programming regardless of the languages, technologies and tools. It is good for beginners and intermediate developers who want to put a solid base for a successful career in the software engineering industry. The book is accompanied by free video lessons, presentation slides and mind maps, as well as hundreds of exercises and live examples. Download the free C# programming book, videos, presentations and other resources from http://introprogramming.info. Title: Fundamentals of Computer Programming with C# (The Bulgarian C# Programming Book) ISBN: 9789544007737 ISBN-13: 978-954-400-773-7 (9789544007737) ISBN-10: 954-400-773-3 (9544007733) Author: Svetlin Nakov & Co. Pages: 1132 Language: English Published: Sofia, 2013 Publisher: Faber Publishing, Bulgaria Web site: http://www.introprogramming.info License: CC-Attribution-Share-Alike Tags: free, programming, book, computer programming, programming fundamentals, ebook, book programming, C#, CSharp, C# book, tutorial, C# tutorial; programming concepts, programming fundamentals, compiler, Visual Studio, .NET, .NET Framework, data types, variables, expressions, statements, console, conditional statements, control-flow logic, loops, arrays, numeral systems, methods, strings, text processing, StringBuilder, exceptions, exception handling, stack trace, streams, files, text files, linear data structures, list, linked list, stack, queue, tree, balanced tree, graph, depth-first search, DFS, breadth-first search, BFS, dictionaries, hash tables, associative arrays, sets, algorithms, sorting algorithm, searching algorithms, recursion, combinatorial algorithms, algorithm complexity, OOP, object-oriented programming, classes, objects, constructors, fields, properties, static members, abstraction, interfaces, encapsulation, inheritance, virtual methods, polymorphism, cohesion, coupling, enumerations, generics, namespaces, UML, design patterns, extension methods, anonymous types, lambda expressions, LINQ, code quality, high-quality code, high-quality classes, high-quality methods, code formatting, self-documenting code, code refactoring, problem solving, problem solving methodology, 9789544007737, 9544007733 |
| definition of an array in math: Python Data Science Handbook Jake VanderPlas, 2016-11-21 For many researchers, Python is a first-class tool mainly because of its libraries for storing, manipulating, and gaining insight from data. Several resources exist for individual pieces of this data science stack, but only with the Python Data Science Handbook do you get them all—IPython, NumPy, Pandas, Matplotlib, Scikit-Learn, and other related tools. Working scientists and data crunchers familiar with reading and writing Python code will find this comprehensive desk reference ideal for tackling day-to-day issues: manipulating, transforming, and cleaning data; visualizing different types of data; and using data to build statistical or machine learning models. Quite simply, this is the must-have reference for scientific computing in Python. With this handbook, you’ll learn how to use: IPython and Jupyter: provide computational environments for data scientists using Python NumPy: includes the ndarray for efficient storage and manipulation of dense data arrays in Python Pandas: features the DataFrame for efficient storage and manipulation of labeled/columnar data in Python Matplotlib: includes capabilities for a flexible range of data visualizations in Python Scikit-Learn: for efficient and clean Python implementations of the most important and established machine learning algorithms |
| definition of an array in math: An Elementary Introduction to the Wolfram Language Stephen Wolfram, 2017 The Wolfram Language represents a major advance in programming languages that makes leading-edge computation accessible to everyone. Unique in its approach of building in vast knowledge and automation, the Wolfram Language scales from a single line of easy-to-understand interactive code to million-line production systems. This book provides an elementary introduction to the Wolfram Language and modern computational thinking. It assumes no prior knowledge of programming, and is suitable for both technical and non-technical college and high-school students, as well as anyone with an interest in the latest technology and its practical application. |
| definition of an array in math: Orthogonal Arrays A.S. Hedayat, N.J.A. Sloane, John Stufken, 2012-12-06 Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book useful. |
| definition of an array in math: Teaching Multiplication with Lesson Study Masami Isoda, Raimundo Olfos, 2020-11-23 This open access book is intended to assist teachers, teacher trainers, curriculum designers, editors and authors of textbooks in developing strategies to teach the multiplication of natural numbers based on the experience of the Lesson Study in Japan. This approach to mathematics education dates back to the 1870s and reconciles the emphasis on problem solving with the treatment of the curricular contents. It has gained international recognition since the 1990s and thanks to it mathematics education in Japan has been recognized as one of the most efficient and innovative in the world. This growing international awareness has led to an effort to apply the principles of Lesson Study to other parts of the world and this book shows how experienced authors from Brazil, Chile, Mexico, Spain and Portugal have worked to adapt some of these methods and techniques to the Portuguese and Spanish speaking countries of Ibero-America. Drawing on the impact of Lesson Study on government curriculum decisions and teacher behavior in Japanese classrooms; offering examples of lessons, lesson plans and suggestions for teaching; and presenting examples of the good reception of the principles of Lesson Study in Ibero-America, Teaching Multiplication with Lesson Study – Japanese and Ibero-American Theories for Mathematics Education shows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. |
| definition of an array in math: Addition Facts that Stick Kate Snow, 2017-01-31 The fun, engaging program that will help your child master the addition facts once and for all—without spending hours and hours drilling flash cards! Addition Facts That Stick will guide you, step-by- step, as you teach your child to understand and memorize the addition facts, from 1 + 1 through 9 + 9. Hands-on activities, fun games your child will love, and simple practice pages help young students remember the addition facts for good. In 15 minutes per day (perfect for after school, or as a supplement to a homeschool math curriculum) any child can master the addition facts, gain a greater understanding of how math works, and develop greater confidence, in just six weeks! Mastery of the math facts is the foundation for all future math learning. Lay that foundation now, and make it solid, with Addition Facts That Stick! |
| definition of an array in math: What Are Tensors Exactly? Hongyu Guo, 2021-06-16 Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students. |
| definition of an array in math: JavaScript Cookbook Shelley Powers, 2010-07-07 Why reinvent the wheel every time you run into a problem with JavaScript? This cookbook is chock-full of code recipes that address common programming tasks, as well as techniques for building web apps that work in any browser. Just copy and paste the code samples into your project—you’ll get the job done faster and learn more about JavaScript in the process. You'll also learn how to take advantage of the latest features in ECMAScript 5 and HTML5, including the new cross-domain widget communication technique, HTML5's video and audio elements, and the drawing canvas. You'll find recipes for using these features with JavaScript to build high-quality application interfaces. Create interactive web and desktop applications Work with JavaScript objects, such as String, Array, Number, and Math Use JavaScript with Scalable Vector Graphics (SVG) and the canvas element Store data in various ways, from the simple to the complex Program the new HTML5 audio and video elements Implement concurrent programming with Web Workers Use and create jQuery plug-ins Use ARIA and JavaScript to create fully accessible rich internet applications |
| definition of an array in math: Response to Intervention in Math Paul J. Riccomini, Bradley S. Witzel, 2010 Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities. |
| definition of an array in math: Teaching Early Algebra through Example-Based Problem Solving Meixia Ding, 2021-04-07 Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, teaching through example-based problem solving (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest. |
| definition of an array in math: Let's Play Math Denise Gaskins, 2012-09-04 |
| definition of an array in math: A Logical Approach to Discrete Math David Gries, Fred B. Schneider, 2013-03-14 Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area. |
| definition of an array in math: Putting Essential Understanding of Fractions Into Practice in Grades 3-5 Kathryn Bouchard Chval, John Lannin, Dusty Jones, 2013 Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning. |
| definition of an array in math: Mastering Math Manipulatives, Grades K-3 Sara Delano Moore, Kimberly Rimbey, 2021-10-26 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It′s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students! |
| definition of an array in math: Basic Category Theory Tom Leinster, 2014-07-24 A short introduction ideal for students learning category theory for the first time. |
| definition of an array in math: 3D Math Primer for Graphics and Game Development Fletcher Dunn, 2011-11-02 This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for |
| definition of an array in math: Excel 2002 Formulas John Walkenbach, 2001-09-29 Excel 2002 Formulas covers every aspect of formulas, including some unusual uses -- such as chart series and conditional formatting specifications. This book answers virtually all formula-related questions posed in Excel newsgroups on the Internet. Plus, it contains a coupon for Walkenbach's Professional Power Utility Pak. |
| definition of an array in math: Mathematics for Engineers II Gerd Baumann, 2010-10-01 Mathematics for Engineers II gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band II wird der klassische Calculus fort- und in die Grundlagen der Linearen Algebra eingeführt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Jedem Buch liegt eine CD bei, die die Rechenprogramme und den vollständigen Text in Mathemetica enthält. Den Studierenden eröffnet sich so die Möglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstützung von Mathematica zu lösen. |
| definition of an array in math: Elementary Linear Algebra Stephen Andrilli, David Hecker, 2010-02-04 Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com - Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference - More than 310 numbered examples in the text at least one for each new concept or application - Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions - Provides an early introduction to eigenvalues/eigenvectors - A Student solutions manual, containing fully worked out solutions and instructors manual available |
| definition of an array in math: The Book on Data Structures David R. Richardson, 2002-07-31 The study of data structures is one of the most important for beginning and advanced students studying the theory of computer science. This is a comprehensive guide designed to teach the principles and applications of data structures in a structured format. While other books require you to have an intimate knowledge of a particular programming language, this book teaches this intriguing facet of computer science in a language independent manner. In this first volume, we will discuss all of the important facts and concepts that you would encounter in a data structures 1 course. This makes this particular guide an excellent reference for the student. Also, with the addition of chapter exercises, this text makes an excellent text book for an undergraduate course in data structures. |
| definition of an array in math: Mathematical Mindsets Jo Boaler, 2015-10-12 Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age. |
| definition of an array in math: Comprehensive Mathematics XII , |
| definition of an array in math: Quick Java David Matuszek, 2023-09-13 We’ll be doing this next project in Java. Unfortunately, you’re a C++ programmer, or maybe a Python programmer. How are you going to get up to speed in a hurry? There are lots of Java books for beginners, telling you all about what a computer is and how it represents everything in bits. You don’t need that. At the other extreme, there are thousand-page tomes that you aren’t going to get through in a few days, if ever. You need something in-between. This book is intended to fill that gap. It’s written for the programmer who doesn’t need to be taught how to program, just how to do it in Java—and who needs to get started in a hurry. Java is covered from the inside out. First, all the things that go inside a class, most of which are practically identical to C++. After that, all the various and complicated kinds of classes and interfaces and how they relate to each other in large-scale programs. Testing is essential, so (unlike most Java books) JUnit is covered in detail. Then, in case you need to go in that direction, some functional programming, a little about parallel programming, and more than enough to get you started in building GUIs (graphical user interfaces) and doing animation. There’s a lot in this little book and, despite my best efforts, you won’t learn Java in a weekend. But it should be a good start. FEATURES Circular approach allows very fast entry into Java Full description of JUnit testing Summary of functional programming in Java Introduction to synchronization and parallel processing Extensive description of building GUIs |
| definition of an array in math: Encyclopaedia of Mathematics Michiel Hazewinkel, 1997-08-31 This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available. |
| definition of an array in math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| definition of an array in math: Introduction To Algorithms Thomas H Cormen, Charles E Leiserson, Ronald L Rivest, Clifford Stein, 2001 An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms. |
| definition of an array in math: The Discrete Math Workbook Sergei Kurgalin, Sergei Borzunov, 2018-07-31 This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments. Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language. |
| definition of an array in math: Math Dictionary for Kids , 2021-09-03 Equipped with the #1 guide to help kids with math homework, children will be able to quickly find the definitions and illustrated examples that will enable them to solve many of the math challenges they face. Covering everything from addend to zero, the fifth edition of the best-selling Math Dictionary for Kids gives students in grades 4-9 more than 400 definitions, full-color illustrations, and examples that can help them solve math problems. This handbook includes illustrated, concise explanations of the most common terms used in general math classes, categorized by subjects that include measurement, algebra, geometry, fractions and decimals, statistics and probability, and problem solving. This edition also discusses how students can use manipulatives and basic math tools to improve their understanding and includes handy measurement conversion tables. Each term has a concise definition and an example or illustration. Perfect for both kids and their parents looking to help them with math homework! Grades 4-9 |
| definition of an array in math: The Language of Mathematics Robert L. Baber, 2011-09-09 A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems. |
An array is a way to represent multiplication and division …
An array is a way to represent multiplication and division using rows and columns. Rows represent the number of groups. Columns represent the number in each group or the size of …
An explanation for the use of arrays - ed
Lorraine Day and Derek Hurrell provide a convincing argument for using arrays to promote students’ understandings of mental computation strategies for multiplication. They also provide …
Definition Mathematics 9th Class Science Punjab Board
A rectangular array of number arranged into rows and columns is called matrix OR The combination of rows and columns in square or rectangular form is called matrix
What is an array? - Math Teacher Coach
Sep 1, 2021 · What is an array? Using an array model is one way to multiply factors visually. Factors are what we call the numbers that we multiply. Multiplying using an array model …
Lesson M2.2 Arrays Around Us - lift.uconn.edu
In this lesson, students will explore ways to use arrays to find patterns to support adding quickly and how to represent the total number of objects in an array using a repeated addition equation.
Using Rectangular Arrays - Family Math Night
Rectangular array: An arrangement of objects into rows and columns that form a rectangle. 1 Students use tiles to make rectangular arrays for given numbers. 2 Students record the arrays …
Fundamentals 3 rd of Multiplication Grade
An array is an arrangement of objects in columns and rows. Drawing an array can help you solve multiplication problems. In this array, there are 4 rows with 3 stars in each row. There are 12 …
Third Grade CCSS Math Vocabulary Word List - Geneva 304
Array an orderly arrangement in rows and columns used in multiplication and division to show how multiplication can be shown as repeated addition and division can be shown as fair shares.
Understanding the array as a model of multiplication - BSRLM
It can provide insight into the structure of multiplication and make visible its commutative and distributive properties. Also, as the array evolves into the area model, it can aid the shift from …
Grade 3 Multiplication Strategies Array Model, Groups of and …
An arrangement of objects, pictures, or numbers in columns and rows is called an array. Arrays are useful representations of multiplication concepts. This array has 3 rows and 7 columns. It …
READ [PDF] What Is An Array In Math
Arrays in Mathematics - ThoughtCo Aug 7, 2019 · In math, an array refers to a set of numbers or objects that will follow a specific pattern An array is an orderly arrangement (often in rows, …
What’s an Array? - Kids Academy
What’s an Array? Check all the pictures that show rectangular arrays. An array is a group of objects, pictures, or numbers in columns and rows. A rectangular array is a group of objects …
Solving Multiplication Problems Using Arrays - Heart Math …
Purpose: Student learns to use arrays to solve multiplication problems and sees how the commutative property (3 x 2 = 2 x 3) applies to multiplication. “We have used rows of cubes to …
Arrays, Multiplication and Division - maths
Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations. An array is formed by arranging a …
Chapter 3 Mathematical Operations with Arrays
cates, is designed to carry out advanced array operations that have many applica-tions in science and engineering. This chapter presents the basic, most common mathematical operations that …
What is an array? - Math Teacher Coach
Jun 1, 2021 · What is an array? Using an array model is one way to multiply factors visually. Factors are what we call to the numbers that we multiply. Multiplying using an array model …
Arrays and Pointers. Lecture Plan. - MIT
Array is a group of elements that share a common name, and that are different from one another by their positions within the array. C syntax: x[1]=3.14; x[2]=5.2; x[3]=6347; Declaration: int …
Learning Math That Works: Array Multiplication
General Synopsis: An array is an arrangement of objects into rows and columns. Arrays are useful in helping students understand multiplication. Key understandings: Students may use a …
UNIT-III ARRAYS AND STRINGS - Sathyabama Institute of …
An array is a linear and homogeneous data structure An array permits homogeneous data. It means that similar types of elements are stored contiguously in the memory under one …
Multiplication: Open Arrays
compose the larger array. Prior to this lesson, students should know multiplication relationships and facts and have used basic arrays to solve problems and explain multiplication strategies.
An array is a way to represent multiplication and division …
An array is a way to represent multiplication and division using rows and columns. Rows represent the number of groups. Columns represent the number in each group or the size of …
An explanation for the use of arrays - ed
Lorraine Day and Derek Hurrell provide a convincing argument for using arrays to promote students’ understandings of mental computation strategies for multiplication. They also provide …
Definition Mathematics 9th Class Science Punjab Board
A rectangular array of number arranged into rows and columns is called matrix OR The combination of rows and columns in square or rectangular form is called matrix
What is an array? - Math Teacher Coach
Sep 1, 2021 · What is an array? Using an array model is one way to multiply factors visually. Factors are what we call the numbers that we multiply. Multiplying using an array model …
Lesson M2.2 Arrays Around Us - lift.uconn.edu
In this lesson, students will explore ways to use arrays to find patterns to support adding quickly and how to represent the total number of objects in an array using a repeated addition equation.
Using Rectangular Arrays - Family Math Night
Rectangular array: An arrangement of objects into rows and columns that form a rectangle. 1 Students use tiles to make rectangular arrays for given numbers. 2 Students record the arrays …
Fundamentals 3 rd of Multiplication Grade
An array is an arrangement of objects in columns and rows. Drawing an array can help you solve multiplication problems. In this array, there are 4 rows with 3 stars in each row. There are 12 …
Third Grade CCSS Math Vocabulary Word List - Geneva 304
Array an orderly arrangement in rows and columns used in multiplication and division to show how multiplication can be shown as repeated addition and division can be shown as fair shares.
Understanding the array as a model of multiplication - BSRLM
It can provide insight into the structure of multiplication and make visible its commutative and distributive properties. Also, as the array evolves into the area model, it can aid the shift from …
Grade 3 Multiplication Strategies Array Model, Groups of and …
An arrangement of objects, pictures, or numbers in columns and rows is called an array. Arrays are useful representations of multiplication concepts. This array has 3 rows and 7 columns. It …
READ [PDF] What Is An Array In Math
Arrays in Mathematics - ThoughtCo Aug 7, 2019 · In math, an array refers to a set of numbers or objects that will follow a specific pattern An array is an orderly arrangement (often in rows, …
What’s an Array? - Kids Academy
What’s an Array? Check all the pictures that show rectangular arrays. An array is a group of objects, pictures, or numbers in columns and rows. A rectangular array is a group of objects …
Solving Multiplication Problems Using Arrays - Heart Math …
Purpose: Student learns to use arrays to solve multiplication problems and sees how the commutative property (3 x 2 = 2 x 3) applies to multiplication. “We have used rows of cubes to …
Arrays, Multiplication and Division - maths
Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations. An array is formed by arranging a …
Chapter 3 Mathematical Operations with Arrays
cates, is designed to carry out advanced array operations that have many applica-tions in science and engineering. This chapter presents the basic, most common mathematical operations that …
What is an array? - Math Teacher Coach
Jun 1, 2021 · What is an array? Using an array model is one way to multiply factors visually. Factors are what we call to the numbers that we multiply. Multiplying using an array model …
Arrays and Pointers. Lecture Plan. - MIT
Array is a group of elements that share a common name, and that are different from one another by their positions within the array. C syntax: x[1]=3.14; x[2]=5.2; x[3]=6347; Declaration: int …
Learning Math That Works: Array Multiplication
General Synopsis: An array is an arrangement of objects into rows and columns. Arrays are useful in helping students understand multiplication. Key understandings: Students may use a …
UNIT-III ARRAYS AND STRINGS - Sathyabama Institute of …
An array is a linear and homogeneous data structure An array permits homogeneous data. It means that similar types of elements are stored contiguously in the memory under one …
Multiplication: Open Arrays
compose the larger array. Prior to this lesson, students should know multiplication relationships and facts and have used basic arrays to solve problems and explain multiplication strategies.
