Mathematica Basics


If you're doing anything technical, think Mathematica--not just for computation, but for modeling, simulation, visualization, development, documentation, and deployment. Why Mathematica? Because this one integrated system delivers unprecedented workflow, coherence, reliability, and innovation. Rather than different toolkits for different jobs, Mathematica has been built ground-up for more than 20 years to deliver one vision: the ultimate technical application and environment. This screencast will get you started using Mathematica by introducing some of the most basic concepts. For more Mathematica videos and screecasts, please visit: www.wolfram.com


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Tour of Mathematica 7


Released in November 2008, Mathematica 7 is a major release that accelerates the drive to integrate and automate functionality as core Mathematica capabilities, adding image processing, parallel high-performance computing (HPC), new on-demand curated data, and other recently developed computational innovations--in total over 500 new functions and 12 application areas. For more screencasts from Wolfram Research, please visit: www.wolfram.com


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Mathematica for Students


Mathematica for Students is a powerful yet easy-to-use software that can be used for virtually any field of study. With Mathematica for Students, you can calculate and visualize just about anything--from solving math, physics, and engineering problems, to creating 3D models to explore concepts in sociology, chemistry, biology, and even music--making it the perfect tool for homework, tests, research, and to advance your professional career. To see Mathematica for Students in action, please watch: www.wolfram.com More information about Mathematica for Students is available here: www.wolfram.com


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Solving Differential equations using Mathematica


www.gumtree.com How to solve differential equations in Mathematica. Solving First Order and Second Order Differential equations Solving Differential Equations with boundary conditions, ie finding the arbitrary constants. Enjoy, and leave your comments


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Mathematica in Five Minutes with Theo Gray


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Mathematica 8 Overview


Almost any workflow involves computing results, and that's what Mathematica does—from building a hedge fund trading website or publishing interactive engineering textbooks to developing embedded image recognition algorithms or teaching calculus. Mathematica is renowned as the world's ultimate application for computations. But it's much more—it's the only development platform fully integrating computation into complete workflows, moving you seamlessly from initial ideas all the way to deployed individual or enterprise solutions. For more information about Mathematica, please visit: www.wolfram.com


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Mathematica 8: Probability and Statistics


Building on two decades of development in symbolic and numeric algorithms, Mathematica 8 provides a suite of high-level functions for probability and statistics. New capabilities include the ability to compute the probability of any event or the expectation of any expression, simulate any distribution, and automatically estimate parameters or test goodness of fit for distributions. To support distributional modeling and analysis, Mathematica 8 offers the largest collection of probability distributions, as well as full support for several dozens of properties, including distribution functions, moments, quantiles, and generating functions. Mathematica 8 provides an unprecedented level of support for parametric distributions. By systematically adding distributions in common use from a wide variety of disciplines such as finance, actuarial science, communication, life science, statistics, etc., Mathematica now provides a complete parametric modeling and analysis framework. Mathematica 8 brings a high level of algorithm automation and computational aesthetics to statistical visualization. Histograms—binned or smoothed—show the shapes of distributions. Quantile and probability plots compare data to a reference distribution. Box-and-whisker and distribution charts compare the distribution shapes for several datasets. For more information about Mathematica 8, please visit: www.wolfram.com


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Mathematica 8: Using Free-Form Input and Wolfram|Alpha Data


Mathematica 8 introduces free-form linguistic input—a whole new way to compute. Enter plain English; get immediate results—no syntax required. It's a new entry point into the complete Mathematica workflow, now upgraded with 500 additional functions and 7 application areas—including the world's most advanced statistics capability and state-of-the-art image processing. Mathematica 8 dramatically expands data access options by integrating Wolfram|Alpha. Drawing on Wolfram|Alpha's vast collection of computable data across hundreds of fields, Mathematica 8 can import data in many formats—as a single result in numeric or table form, as a Wolfram|Alpha-style presentation of all available results for an entity, or embedded into a line of input for immediate computation. Mathematica 8 also features built-in programmatic access to the Wolfram|Alpha API, which allows the selection of specific Wolfram|Alpha results or output formats. For more information about Mathematica, please visit: www.wolfram.com


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Starry Slices


Examples of parallel solid sections, taken along an axis of icosahedral symmetry, of all ten of the regular four-dimensional star polytopes. There are also examples of polygon-first and edge-first parallel solid sections, and an unfinished, more elaborate animation. All these animations were created in 1999; constructed in Wolfram Research's Mathematica, exported to POV-Ray, and the individual frames linked into animations using Apple's wonderful QuickTime technology.


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Optimizing Optics with Mathematica


www.wolfram.com Donald Barnhart first used Mathematica to develop optical design and analysis software for his own research in optics. Now, scientists around the world use his Mathematica-based Optica software for applications in fiber optics, lasers, and telescopes. For him, the biggest advantage of Mathematica is obtaining insights on his computer he would normally only get from lab experiments. iCyt Mission Technology - www.i-cyt.com Optica Software - www.opticasoftware.com Interactive visualizations by Donald Barnhart on the Wolfram Demonstrations Project - demonstrations.wolfram.com


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Mathematica by Reflex


Commodore 64 demo, winner of TheParty1995 c64 demo cometition.


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Visualize Anything in Mathematica


Create visualizations in Mathematica 6 easily. www.wolfram.com www.wolfram.com demonstrations.wolfram.com


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Newton on the Beach: Principia Mathematica


Historian Simon Schaffer, the 2008 Harry Camp Memorial Lecturer, spoke on Newton's fascination with discoveries about ancient Indian philosophy and discussed the global network of information on which Newton relied for his Principia Mathematica. Schaffer is the co-author, with Steven Shapin, of "Leviathan and the Air Pump" (1985) and joint winner of the 2005 Erasmus Prize. Recent publications include edited collections "The Sciences in Enlightened Europe" (1999) and "The Mindful Hand" (2007). Stanford University: www.stanford.edu Stanford Humanities Center: shc.stanford.edu Stanford University Channel on YouTube: www.youtube.com


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Mathematica 8: Performance


New compiler technology optimizes execution performance directly from the Mathematica language using two key innovations: automatic code generation and linking, and automated multicore parallelism. This enhances Mathematica's rapid application development workflow to enable final deployments requiring the ultimate high-performance execution. Mathematica 8 introduces major new interoperability with C and C++, enabling a complete development pipeline from within Mathematica in a wide range of new cases. Support includes conversion of compilable Mathematica programs into C code and also independent high-level functions for driving external C and C++ compilers. Mathematica 8 also introduces dynamic linking of C and C++ external libraries, fully integrating library functions into the Mathematica language. Mathematica 8 harnesses GPU devices for general computations using CUDA and OpenCL, delivering dramatic performance gains. A range of Mathematica 8 GPU-enhanced functions are built-in for areas such as linear algebra, image processing, financial simulation, and Fourier transforms. Also included is a framework for building and loading CUDA or OpenCL programs into the Mathematica kernel. Mathematica 8 offers the most comprehensive and easy to use high-level interface to GPU programming and computation on the market today. For more information about new and enhanced software development functionality in Mathematica 8, please visit: www.wolfram.com For more information about <b>...</b>


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Advanced Mathematica Summer School 2009


Some of the attendees at the Advanced Mathematica Summer School 2009 share their thoughts about the Summer School's environment and how the interaction with Wolfram Research developers helped move their Mathematica projects forward. For more information about Wolfram Research, please visit: wolfram.com


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Teaching the Bigger Picture: Exploring Mathematics with Mathematica


"It's all about teaching the concepts." That's Debra Woods' philosophy, and she says Mathematica is key in helping her achieve this goal. She teaches Mathematica-based courses at the University of Illinois and through its online math program, NetMath. Woods says Mathematica's visualization capabilities make all the difference in the way her students explore and grasp lessons. "What we can do in Mathematica we simply can't do with calculators or textbooks," says Woods. "In Mathematica, you can not only visualize things, but you can also manipulate them to see how they would change. And you can have those graphics, along with calculations and text, all in one environment." The Mathematica Edge • Automatically and instantly creates interactive visualizations • Provides environment to easily develop dynamic lesson plans and tests, with text, calculations, and graphics all in one notebook • Accesses thousands of examples and tutorials found in the Wolfram Mathematica Documentation Center Related Links Calculus and Mathematica at the University of Illinois at Urbana-Champaign cm.math.uiuc.edu NetMath netmath.uiuc.edu For more videos by Wolfram Research, visit www.wolfram.com


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Mathematica User Rediscovers Math in Everyday Life


www.wolfram.com Wolfram Demonstration Project author Sándor Kabai uses Mathematica to create interactive visualizations reflected from everyday live. View his work here: www.demonstrations.wolfram.com Sándor Kabai's Gallery: www.kabai.hu


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Exploring the Science of Cooking: Mathematica's Role in Modernist Cuisine


Ever wondered how to grill the perfect steak? Or how well dunking food into an ice bath stops the cooking process? Nathan Myhrvold used Mathematica to answer these questions, and many others. Myhrvold's background is in science and technology, and he has had a longtime interest in cooking. As he started using new techniques like sous vide, in which food is slowly cooked in vacuum-sealed bags in water at low temperature, he discovered that many chefs don't know much about the science behind cooking. He decided to change that with a massive cookbook that was released this month. In 2438 pages, Modernist Cuisine covers a wide range of cooking techniques and their scientific backgrounds, including heat transfer and the growth of pathogens. (It has recipes, too.) In this audio recording, Myhrvold talks about the thousands of lines of Mathematica code he wrote to model the technical subjects underlying cooking and to create new kinds of visualizations to convey his results. You can find more information about how Myhrvold and others use Mathematica on our Customer Stories pages: www.wolfram.com


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Stephen Wolfram: The Background and Vision of Mathematica


During the Wolfram Mathematica Virtual Conference 2011, Wolfram founder Stephen Wolfram shared the background and vision of Mathematica, including the personal story of how it came to be and why it's in the right place to make profoundly powerful new things possible. For more information about Mathematica, please visit: www.wolfram.com


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Using Functions in Mathematica


How to define and use functions in Mathematica. Finding composite function, derivative of a defined function and using the functions to plot graphs. Please leave a comment and rate this video. I am quite new to making videos for youtube, I am in the process of making more Mathematica Videos. If there are any requests please leave a comment. I am somewhat new to Mathematica myself, so I'll be starting with some basic intro into mathematica. Don't forget to leave your comments


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Wolfram Mathematica 8 Quick Tour


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Part 2: Introduction to Mathematica 8


This is the Part 2 of my tutorial. Best way to learn more about Mathematica. Read, 1. Schaum's Outline: Mathematica, 2nd Edition by Eugene Don 2. Mathematica Navigator: Mathematics, Statistics, and Graphics. 3rd Edition by Heikki Ruskeepaa


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Mathematica Graphics for Presenting Multidimensional Evidence


Robert Yerex is chief economist at Kronos and creator of the Retail Labor Index, which is used by economists studying consumer spending and employment trends. At the Wolfram Technology Conference 2010, Yerex explained how he uses Mathematica to develop effective multidimensional infographics about trends in employment and retail sales. For more information about Mathematica, please visit: www.wolfram.com


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Mathematica 8: Integrated Control Systems Design


Mathematica 8 provides an extensive suite of built-in functionality to carry out analysis, design, and simulation of continuous- and discrete-time control systems with both classical and modern techniques. Mathematica's powerful symbolic-numeric computation engine facilitates the use of analytical solutions to study relationships between design elements and gives valuable insight into the behavior of complex control systems. With any-precision numerics, automatic algorithm selection, and advanced visualizations, Mathematica 8 is ideal for building and analyzing control systems, documenting design decisions, and interactively testing controllers—all from a single platform. For more information about integrated control systems design in Mathematica 8, please visit: www.wolfram.com For more information about Mathematica, please visit: www.wolfram.com


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Generating Classroom Exercises in Mathematica 6


www.wolfram.com Abby Brown demonstrates how to create classroom exercises in Wolfram Mathematica notebooks.


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Integrating GPU Computing into Mathematica Case Study: Longstaff-Schwartz Monte Carlo


Wolfram Research and NVIDIA partnered to host the Optimizing Financial Modeling seminar in January 2011. Attendees discovered why many of the world's leading financial institutions rely on Mathematica as their computational tool of choice and learned how using Mathematica in combination with NVIDIA's groundbreaking GPU technology can give you the edge you need in an increasingly competitive environment. In this video, NVIDIA's Senior CUDA Consultant John Ashley explains how CUDA programming is changing financial computation. For more information about Mathematica, please visit: www.wolfram.com


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Jerry Uhl: Mathematica Pioneer Award Winner


Wolfram Research, Inc. recognized Jerry Uhl, professor of mathematics at the University of Illinois at Urbana-Champaign, as its Mathematica Pioneer Award Winner during its International Mathematica User Conference in October 2008. Uhl has been a key player in the computer-based Calculus&Mathematica project. He's coauthored several books related to the use of Mathematica in mathematics courses. In this video, Wolfram Research founders Stephen Wolfram and Theodore Gray congratulate Jerry Uhl on his innovative approach to teaching and his colleagues and former students thank him for opening their eyes to a new way of exploring mathematics.


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Installation of Quantum Mathematica add on


homepage.cem.itesm.mx Installation of Quantum Mathematica add on in a Windows XP computer. It is the same general procedure in other platforms (Vista, Mac, UNIX, etc). Quantum is a free Mathematica add-on for Dirac bra ket notation, quantum noncommutative operator and commutator algebra and quantum computing circuits and algorithms.


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An Interactive Experience: Teaching Mathematics with Mathematica


Teaching and Mathematica go hand in hand for Eric Schulz, a mathematics instructor at Walla Walla Community College. "Mathematica is more than it appears to be to the new user It's not just a calculator. It's not just input/output. It's a tool where you can express yourself," says Schulz. "I use Mathematica to do all of my writing, in addition to lecture notes and handouts." Schulz also creates dynamic interfaces in Mathematica to visually enhance every lesson he teaches. He says, "I regularly think about how I can explain concepts visually because I know in the classroom I have students for which that would make sense. And then I can follow up and teach in the analytical mode." The Mathematica Edge • Contains powerful graphics functions for creating insightful 3D models • Generates professional-looking documents that can include text, calculations, and interactive visualizations • Provides development environment to build flexible, structured courseware Related Links Wolfram Education Portal www.wolfram.com Eric Schulz's Home Page math.wwcc.edu Walla Walla Community College www.wwcc.edu Demonstrations by Eric Schulz demonstrations.wolfram.com query=Eric+Schulz For more videos, visit www.wolfram.com/videos.


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Solving Life's Solar Battery with Mathematica


Life's Solar Battery Research Overview: www.ks.uiuc.edu Sener's Publication in Proceedings of the National Academy of Sciences - www.pnas.org Biophysicist Melih Sener used Mathematica to piece what he calls a molecular jigsaw puzzle into one of the largest light harvesting assemblies ever put together on a computer. Mathematica was his building tool, he says, because it allowed him to combine three decades of research by hundreds of scientists into one framework where he could assemble the puzzle and then analyze its structure and function. "The reason why I still use Mathematica and have been using it for all this time is that it's a very intuitive, a very seamless development environment, and I can go from an idea to a computational framework where I can get quick, easy numerical answers to a problem fairly easily." www.wolfram.com www.wolfram.com


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Mathematica 8: Free-Form Linguistic Input


Mathematica 8 pioneers free-form linguistic input, allowing users to enter plain English and get immediate results and the Mathematica input for further exploration—without the need for syntax. It is a breakthrough in usability that makes many programming and development tasks as easy as entering a query in English. Mathematica 8 is the start of this initiative—ongoing improvements to the Wolfram|Alpha technology powering this feature will continue to advance Mathematica's ease of use, independent of product releases. For more information about free-form linguistic input in Mathematica 8, please visit: www.wolfram.com For more information about Mathematica 8, please visit: www.wolfram.com


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Data processing with Mathematica and MySQL


Take PDF files from www.aar.org and import them, extract the data, check the data then save it to a MySQL database. Menu driven plotting of data via "on the fly" importing from MySQL database.


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Building an Integrated System in Mathematica


Mathematica has long been Frank Scherbaum's tool of choice for his research in seismic hazard analysis. Over the years, he's developed more than 700 functions for his geophysics and seismology studies along with numerous interactive tutorials and Demonstrations. Now, he's using Mathematica's powerful documentation tools to link all of his work into an integrated system that will be deployed for students, teachers, and researchers to use in their probabilistic seismic hazard analysis work. Scherbaum says, "This is a big advantage to have something in one place where everything works together and where everything is consistent.... You can concentrate on what you want to learn and how you want to learn a program." • Dramatically enhances programming possibilities with interactive animation features Related Links: University of Potsdam, Dept. of Geosciences www.geo.uni-potsdam.de Demonstrations by Frank Scherbaum www.demonstrations.wolfram.com Wolfram Workbench www.wolfram.com


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Mathematica 8: Comprehensive Image Processing Environment


Mathematica 8 introduces a complete and rich set of state-of-the-art image processing and analysis functions for digital image composition, segmentation, feature detection, transformation and alignment, and restoration of images. Image processing functionality is fully integrated with Mathematica's powerful mathematical and algorithmic capabilities. For more information about image processing in Mathematica 8, please visit: www.wolfram.com For more information about Mathematica, please visit: www.wolfram.com


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Mathematica Q&A Series: Generating Random Numbers


Got questions about Mathematica? The Wolfram Blog has answers! This week's question comes from Peter, a secondary school teacher: How can I generate random integers between -10 and 10, but excluding 0? This screencast has the answer. It's also detailed in the following Wolfram Blog post: blog.wolfram.com For more information about Mathematica, please visit: www.wolfram.com


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Adventures in Architecture with Mathematica


Inspired by the work of avant-garde architects, Chris Carlson, chief interactive graphics developer at Wolfram Research, has been exploring the possibilities of designing and modeling structures using Mathematica. During the International Mathematica User Conference 2009, Carlson shared his latest interesting adventure in architecture with Mathematica. In this video from the conference, see Chris put an interesting spin on Norman Foster's Hearst Tower.


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Financial Computation in Mathematica: Part 1


Mathematica now has fully integrated support for many of the tools used to solve problems in classical and modern finance, including built-in functions for pricing derivatives, computing bond values and sensitivity measures, and calculating time value of money. Two of the developers who worked on the new and enhanced financial computation functionality in Mathematica 8 gave an overview of some the features at the Wolfram Technology Conference 2010. In this video, Edward Bukhman explains Mathematica's FinancialDerivative function and shares some applied examples. For more information about Mathematica's built-in financial computations, please visit: www.wolfram.com


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Efficient Coding Takes Off: Flight Simulation with Mathematica


"Very efficient, very useful, and enjoyable." That's how Yves Papegay describes the power of Mathematica. During his 14 years of research at The French National Institute for Research in Computer Science and Control, he has focused on applying symbolic computation methods to flight modeling and simulation applications. Using Mathematica, Papegay created a new automated coding process that eliminated a time-consuming bottleneck in the industrial workflow. Before Mathematica, the coding took a team of developers six to eight months to complete, but now one person can do it all in one week. For more Mathematica videos and screencasts, please visit: www.wolfram.com


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Mathematica and CUDA, SIGGRAPH 2010


"Man-on-the-floor" video from SIGGRAPH 2010 - showing Mathematica and CUDA


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Using Mathematica as a Whiteboard


This screencast shows users how to use Mathematica as a whiteboard. For more Mathematica screencasts and videos, please visit: www.wolfram.com


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Make: Mathematics with Mathematica


Scott Gray, the founder of Make: Mathematics, is developing new technology to help teachers and students explore mathematics by "making math" with Mathematica. At the Wolfram Technology Conference 2010, he explained how it works and shared examples. For more information about Mathematica in higher education, please visit: www.wolfram.com


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Mathematica's Role in Blood Pressure Research


Tim Shine Anesthesiologist, Mayo Clinic Physician Tim Shine is finding success with Mathematica even though he doesn't have a programming or mathematical background. He says about the software, "It had enough ease of use that I could get started with it. It's very fulfilling to come to this environment and bring your questions because it broadens your insight into what really is in your data." Shine used Mathematica to define and manipulate parameters to create a good fit for complex physiological data about the blood pressure curve. "Using the Manipulate command, I can adjust the curve to fit theoretical situations and try many different experiments quickly," says Shine. "It just adds precision and accuracy to what we're doing." Shine hopes his model will lead to an elasticity index, which he says could improve blood pressure treatment and management in the general public. The Mathematica Edge • Easily imports complicated physiological data • Efficiently runs multiple experiments at once • Provides an approachable environment and complete reference guide for new users Related Links Mayo Clinic www.mayoclinic.com Wolfram Mathematica Documentation Center http


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Mathematica 8: Built-in Financial Computations and Visualizations


Mathematica now contains tools for solving problems in classical and modern finance. These capabilities allow for comprehensive derivative calculations, the computation of bond values and sensitivity measures, and advanced time value of money calculations. Mathematica also provides immediate access to a large array of financial and economic data, and contains financial import and export tools for working with external data. Mathematica 8 also includes state-of-the-art financial charting functions and a wide-ranging collection of technical indicators. For more information about Mathematica's built-in financial computations, please visit: www.wolfram.com For more information about financial visualization in Mathematica, please visit: www.wolfram.com


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Wolfram|Alpha and Mathematica


From calculation in Wolfram|Alpha to exploration in Mathematica, Cliff Hastings, Director of Academic Initiatives at Wolfram Research, shows you how to combine Wolfram|Alpha and Mathematica for teaching, researching, and beyond.


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2D Graphing in Mathematica Is Easy


Abby Brown from Torrey Pines High School describes how easy it is for teachers to create graphs with Wolfram Mathematica and even add animation too! For clearer, more detailed screencasts please visit: www.wolfram.com


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The Mathematica Solution for Game Design, Special Effects, and Generative Art


Move ideas and algorithms from artistic concepts or graphics research to computer games and special effects, rapidly prototype and validate models, and instantly visualize your results—all in one system, with one integrated workflow. Mathematica is a great solution for game design, special effects, and generative art. It provides a uniquely flexible framework for creating realistic games and animations using high-precision physics, advanced 2D and 3D graphics primitives, artistic color schemes, and built-in geometric art entities. For more information, please visit: www.wolfram.com


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Mathematica - Enter Integrand


My class project for AP Calculus. It's a parody of "Enter Sandman" by Metallica. That's me on the right, playing the bass. Yes, I am fully aware that we do not sound as good as Metallica. You are obviously missing the post-modern element of the video; we are not *trying* to sound as good as Metallica. Obviously. Lyrics: ENTER INTEGRAND [Verse 1] Show your work, little mind Don't forget this time To include every sign I check your math, make you laugh Answer things you ask But it's your job to learn [Pre-Chorus] Study all your functions We've got a quiz tonight [Chorus] Integrate Calculate Solve for y Derive it or just say goodbye [Verse 2] This is bad; twenty-one Points off your score sum And I'm not even done Where were you during class? Playing in the grass 'cause you don't think math's fun? (Well...) [Pre-Chorus] Hope you're real familiar With trigonometry [Chorus] Integrate Calculate Solve for y Derive it or just say goodbye [Bridge] Negative b (Negative b) Plus or minus the square root (Plus or minus the square root) b squared minus 4ac (b squared minus... what now?) b squared minus 4ac! (Ahh! b squared minus 4 ac!) All over 2a. (All over 2a. Okay, got it.) Focus student, don't make a mistake You really should have stayed awake That thing about magnetic force Lies outside the scope of this course [Chorus Variation] Integrate Calculate Use 2 pi [Chorus] Integrate Calculate Solve for y Derive it or just say goodbye "Bloopers" (otherwise known as miserable failures of a <b>...</b>


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