Application Libraries for mathematica

Mathematica Application Library

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Application Libraries for Mathematica

• Advanced Numerical Methods
• Control System Professional
• Dynamic Visualizer 1.1
• Electrical Engineerin Examples 1.2
• Finance Essentials 1.2
• Fuzzy Logic 2
• Mathematica Link for Excel 2.1
• Mechanical Systems 1.3
• Neural Networks
• Optica 1.3
• Scientific Astronomer 1.1
• Signals and Systems 1.2
• Structural Mechanics
• Time Series 1.3
• Wavelet Explorer 1.2

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Advanced Numerical Methods

State-of-the-Art Algorithms for Systems and Control

Advanced Numerical Methods is a Mathematica application package that expands the functionality of Control System Professional with an extensive collection of state-of-the-art numerical algorithms. It seamlessly integrates into the Control System Professional framework using the same data structures and, when possible, the same function names.
Advanced Numerical Methods implements reliable and robust numerical algorithms, including several new methods for Lyapunov, Sylvester, and Riccati equations, to solve a wide class of control problems and linear algebra problems with applications in control theory. For each problem, Advanced Numerical Methods provides several computationally viable numerical algorithms that enable the user to choose the most appropriate tool for a given task. Alternatively, it can often automatically select a suitable algorithm based on the size of the problem, the precision of the data, and the precision needed for a particular application.
Combined with Mathematica's extensive graphical capabilities and automatic arbitrary-precision control, Advanced Numerical Methods provides a superior environment for solving industrial and research control problems, thereby bringing technology to control industries and education.
The package comes with printed and electronic documentation.

Advanced Numerical Methods is designed for use with Mathematica 4.2 or later and Control System Professional 2 or later and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Control System Professional 2

Comprehensive Control System Environment with Integrated Symbolic Capability

Control System Professional offers an object-oriented environment for solving common problems in control and systems areas within Mathematica. This robust application package covers all steps from creating and manipulating symbolic and numeric models to analyzing, designing, and simulating control systems. With Control System Professional, you can use analytical solutions to study relationships between design elements, gain added insight into complex composite systems, and use numerical solutions for plotting and testing.
Control System Professional handles linear MIMO (multi-input, multi-output) systems as well as SISO (single-input, single-output) systems in both time and frequency domains. You can use it to analyze state-space and transfer-function models of continuous-time (analog) and discrete-time (sampled) systems and freely convert between the types of models and the domains.
Control System Professional's built-in time-domain response functions make it easy to test your system to investigate step, impulse, and ramp responses as well as to simulate responses to any other input signal of your choice. The system's frequency response tools help you examine the stability of your system and make the necessary design decisions to meet your specifications. In addition, you can reduce the complexity of MIMO systems by having Control System Professional generate singular value plots.
Given system topology and descriptions of the blocks, you have in Control System Professional all the tools you need to construct an arbitrary composite system. Cascade a set of systems, construct parallel interconnections of subsystems, close output and state feedback, and build even more intricate interconnections. Many other system manipulations, such as selecting or deleting subparts, can also be made with a single command.
Use Control System Professional to reveal system characteristics when you find and convert between different realizations, including Kalman, Jordan, balanced, and other forms. Then implement any of a variety of techniques to quickly reduce the order of your models. To correct the behavior of your control systems in a desired direction, a broad selection of feedback design tools is provided, including traditional and robust pole assignment algorithms as well as linear-quadratic optimal control tools.
In addition to linear system analysis, Control System Professional provides several linearization techniques that allow you to study the dynamics of nonlinear systems and in many cases to generate suitable approximations.
The package comes with printed and electronic documentation.

Control System Professional 2 is designed for use with Mathematica 4.2 or later and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Dynamic Visualizer 1.1

3D Graphics in Real Time

Graphically simulate systems that range from simple harmonic motion and chaotic behavior to planetary systems with Dynamic Visualizer, a powerful and exciting real-time viewing extension to Mathematica.
Using revolutionary new algorithms in software rendering, Dynamic Visualizer allows you to create three-dimensional graphics previously available only on expensive specialized workstations.
All transformations can be programmed or performed interactively. Using Mathematica's MathLink protocol, objects created in Mathematica are displayed in Dynamic Visualizer where they can be scaled, rotated, and textured. Dynamic Visualizer works with all standard Mathematica graphics commands such as ParametricPlot3D, Plot3D, and Graphics3D.
With both still and animated texture mapping available, you can map textures created in Mathematica onto objects in Dynamic Visualizer. Objects can be rendered as wire frames or as flat or smooth Gouraud shade. For even more realistic rendering, Dynamic Visualizer allows you to adjust the ambient lighting, diffuse and spectral reflectivity, and transparency of an object in real time.
Dynamic Visualizer documents and supports its own simple ASCII file format.
The package comes with printed and electronic documentation.

Dynamic Visualizer requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP and Mac OS (for Mathematica 4 only).

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Electrical Engineerin Examples 1.2

Circuit Analysis, Transmission Lines, and Antenna Design with the Power of Mathematica

Whether you are analyzing circuit noise and distortion or plotting antenna field patterns, Electrical Engineering Examples is the place to look for practical examples of how to use Mathematica to solve real engineering problems. You'll quickly learn how to best apply Mathematica to basic and advanced tasks in circuit analysis, transmission line theory, and antenna design. Discover how Mathematica's hundreds of ready-to-use commands for matrix manipulation, equation solving, differentiation and integration, and Fourier and Laplace transforms help engineers around the world streamline their work. Save time and effort when you call on built-in routines for statistics, data analysis, and 2D and 3D graphics. Build models, run simulations, write programs, document projects, and create professional-looking reports. It's all much easier with Mathematica and Electrical Engineering Examples on your desktop.
All the material in Electrical Engineering Examples is completely open and customizable, so you can examine how any function was created, use Mathematica's powerful programming language to modify or extend it for your needs, or simply create your own functions using Mathematica's built-in tools as building blocks.
The package comes with printed and electronic documentation.

Electrical Engineering Examples requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Finance Essentials 1.2

Design and Analyze Proprietary Financial Systems

Finance Essentials is specifically designed for traders, investment analysts, portfolio managers, and others in the financial community with critical tasks in data analysis and strategy design. Use it to rapidly build customized proprietary applications, test and evaluate trading and hedging strategies, and evaluate assets using the CAPM.
Finance Essentials provides a foundation of financial objects (such as cash flow, option, bond, and interest rates) and functions (such as spot-forward rate conversions, option valuation, and sensitivity measures) and shows you how to apply them effectively. Examples help you easily calculate Markowitz efficient portfolios and compute moving averages.
The tools and examples in Finance Essentials, when combined with Mathematica's high-level programming language, can slash development costs and make your modeling more productive. The powerful Mathematica environment provides fast, accurate computation and graphical analysis on all kinds of financial data, which can be imported from existing databases, spreadsheets, or even proprietary software.
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Finance Essentials requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Fuzzy Logic 2

The Most Flexible Environment for Exploring This Emerging New Field

Fuzzy Logic brings you an essential set of tools for creating, modifying, and visualizing fuzzy sets and fuzzy logic-based systems. Ideal for engineers, researchers, and educators, Fuzzy Logic provides practical examples that introduce you to basic concepts of fuzzy logic and demonstrate how to effectively apply the tools in the package to a wide variety of fuzzy system design tasks. Experienced fuzzy logic designers will find it easy to use the package to research, model, test, and visualize highly complex systems.
The package's built-in functions help you at every stage of the fuzzy logic design process as you define inputs and outputs, create fuzzy set membership functions, manipulate and combine fuzzy sets and relations, apply inferencing functions to system models, and incorporate defuzzification routines. Ready-to-use graphics routines make it easy to visualize defuzzification strategies, fuzzy sets, and fuzzy relations.
Fuzzy Logic also takes advantage of Mathematica notebooks, letting you combine fuzzy design settings, computations, 2D and 3D graphics, and even text in a single document on screen. This interactive document format not only is useful to professionals working on a complex fuzzy model but also is ideal for presenting concepts to students and allows them to turn in completed homework assignments and lab reports either electronically or on paper as a printed notebook.

Fuzzy Logic is designed for use with Mathematica 4 and is available for Windows 95/98/Me/NT/2000/XP, Mac OS, Mac OS X, Linux (PC, Alpha, PowerPC), Solaris, HP-UX, IRIX, AIX, HP Tru64 Unix, and compatible systems.

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Mathematica Link for Excel 2.1

Break out of Your Cells!

If you do complex mathematical calculations or data analysis in Excel, you know what it's like to bump up against the limitations of its computing capability. Now, Mathematica Link for Excel opens up your possibilities.
By adding Mathematica into your Excel platform, you can manipulate and visualize data and equations with over a thousand more functions and options. It's easy to send even large data sets from Excel to Mathematica for the kind of sophisticated analysis Excel can't do alone, and then to return the results right into your spreadsheet.

Increase Your Productivity

Many Excel users have discovered how cumbersome and time consuming it can be to write sophisticated macros. Because Mathematica contains built-in capabilities for an extraordinary range of calculations and functions, it can already do many of the operations for which you might otherwise need to write and debug complicated macros. And, if not, writing a function in Mathematica's intuitive high-level language is much faster and easier than writing the same thing exclusively within Excel's syntax.

Mathematica Link for Excel requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP and Mac OS (for Mathematica 4 only). For Windows, Mathematica Link for Excel requires Excel 95, 97, 2000, or 2001; for Macintosh, Mathematica Link for Excel requires Excel 5.0 or 98.

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Mechanical Systems 1.3

Motion Analysis of Rigid Body Systems

Minimize your rigid body system design time and explore more design options with Mechanical Systems. This powerful package speeds up your prototyping and simulation tasks, helping you develop and modify complex models, plus instantly visualize and analyze your design changes.
Using the complete library of over 50 two- and three-dimensional geometric constraints in Mechanical Systems, you can easily model complex mechanical relationships and define custom algebraic constraints to model nongeometric or control relationships. The object-oriented, model-building commands let you assemble constraints into a complete mechanism that can be solved for component position, velocity, and acceleration. By applying loads to the model, you can quickly solve for static reaction forces at mechanism joints or for dynamic forces when inertia properties are defined.
Mechanical Systems can also return mathematical components of a model in symbolic form, including equations of motion, algebraic constraints, inertia matrices, and Coriolis forces. To reflect mechanism motion, extensive graphics functions let you locate and animate complex images.
The package comes with printed and electronic documentation.

Mechanical Systems requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS (for Mathematica 4 only), Mac OS X, Linux, and most Unix platforms.

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Neural Networks

Train and Analyze Neural Networks to Fit Your Data

Artificial neural networks have revolutionized the way researchers solve many complex and real-world problems in engineering, science, economics, and finance. Neural Networks capitalizes on the computational power and flexibility of Mathematica to help you utilize this cutting-edge technology.
Neural Networks gives professionals and students the tools to train, visualize, and validate neural network models. It supports a comprehensive set of neural network structures--including radial basis function, feedforward, dynamic, Hopfield, perceptron, vector quantization, unsupervised, and Kohonen networks. It implements state-of-the-art training algorithms like Levenberg-Marquardt, Gauss-Newton, and steepest descent. Neural Networks also includes special functions to address typical problems in data analysis, such as function approximation, classification and detection, clustering, nonlinear time series, and nonlinear system identification problems.
Neural Networks is equally suited for advanced and inexperienced users. The built-in palettes facilitate the input of any parameter for the analysis, evaluation, and training of your data. The online documentation contains a number of detailed examples that demonstrate different neural network models. You can solve many problems simply by applying the example commands to your own data. Neural Networks also provides numerous options to modify the training algorithms. The default values have been set to give good results for a large variety of problems, allowing you to get started quickly using only a few commands. As you gain experience, you will be able to customize the algorithms to improve the performance, speed, and accuracy of your neural network models.
With Neural Networks and Mathematica, you will have access to a robust modeling environment that lets you test and explore neural network models faster and easier than ever before.
The package comes with printed and electronic documentation.

Neural Networks is designed for use with Mathematica 4.2 or later and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Optica 1.3

A New Generation System for Optical Design and Analysis

To design and analyze your optical systems, don't settle for traditional ray-tracing software that restricts your choices to a prescribed set of catalog components and configurations. With Optica you can develop specialized optics systems and component designs without limits. While providing experienced designers an environment flexible enough for even the most sophisticated optical systems, the many examples included make Optica easy to learn.
In addition to Optica's easy-access collection of hundreds of different lenses, mirrors, prisms, gratings, and more, you can quickly create your own components or modify existing ones using Optica's robust component-structuring language. You can turn a standard lens or parabolic mirror into its flattened Fresnel equivalent with a single command, for example.
The first geometric ray-tracing system written for a symbolic programming environment, Optica gives you complete control over the shape of every surface and component--you enter your own symbolic expressions to define them. Make pinholes and place them in any location, or specify circular, rectangular, elliptical, or arbitrary-sided polygonal-shaped apertures for any surface edge or surface hole. Generate optical fibers, lens doublets and triplets, pipes, laser, beam splitters, screens, and baffles to your exact specifications. Experiment with an endless variety of possibilities when you define new refractive materials, modify Optica's catalog of commonly used glasses, crystals, and fluids, or expand on Optica's library of on-axis and off-axis spherical, cylindrical, and parabolic curved components with shapes and objects of your own.
Optica's hundreds of built-in functions not only help you create all kinds of components, they make it easy to analyze many different system configurations. You can define a system in modular segments that you position independently in three-dimensional space, then combine to model a total system. Optica can also describe all the intersection points along a ray-tracing path, provide the optical path length of each ray, generate an intensity map for any surface in your system, and display an animation to help you visualize the path of a single ray or set of rays within a system.
The publication-quality, two- and three-dimensional graphics you create with Optica are perfect for placing directly in your blueprints and research reports. And educators save valuable school lab time and resources when they have students use Optica to create endless experimental variations and safely study the results.
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Optica requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Scientific Astronomer 1.1

The World's Most Sophisticated General Astronomy System

From constellations and planets to galaxies, and comets, Scientific Astronomer helps you determine which objects and events are visible from your location and tells you exactly when and where to look for them. You can even pinpoint the optimal dates and times to get the best naked-eye view of specific objects including stars, low-orbit satellites, and the asteroid Vesta.
Scientific Astronomer contains a wealth of searchable information about the properties and movements of over 9000 stars and other objects. You can also add information, such as your own list of stars, comets, asteroids, and satellites, along with the behavior of their orbital paths.
With Scientific Astronomer you can produce a comprehensive wall chart of the social calendar of the heavens for the entire year, make detailed star charts of any region of the sky, or even construct a working planisphere. View objects and events from every perspective as you plot the orbits of the Galilean moons of Jupiter, make satellite track plots, and study eclipses and occultations. Render three-dimensional graphics to see how the planets look from a given viewpoint on a given date, and label special features such as Jupiter's Great Red Spot.
You'll quickly learn how to spot meteor showers, predict and make animations of solar and lunar eclipses, make comet finder charts, and do much more.
The package comes with printed and electronic documentation.

Scientific Astronomer requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS (for Mathematica 4 only), Mac OS X, and most Unix platforms.

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Signals and Systems 1.2

The Only Signal Processing and Analysis Tool with Complete Symbolic Power

Signals and Systems' essential set of functions for analyzing signals, designing filters, and performing routine signal processing operations is a rare find for engineers. Its numerous built-in tools greatly simplify tasks that involve linear transforms, standard signal representations, and visualization. With a focus on symbolic techniques, these tools bring you capabilities not traditionally available in signal processing software, yet increasingly in demand for high-quality signal analysis. The package's ready-to-use functions help you perform algebraic manipulations on signals and systems to improve, develop, and implement new algorithms. And Mathematica's high-level programming language makes it easy to use the package as an extensible core for handling a wide variety of advanced signal processing problems.
While engineers in industry take advantage of the package to enhance productivity, educators find it particularly useful for teaching signals and systems courses. You can present interactive lessons containing problems and explanation in a Mathematica notebook, and have students derive, explain, and submit their solutions in the same notebook. Thousands of engineering students at universities around the world have already benefited from this technology!
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Signals and Systems is designed for use with Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Structural Mechanics

Elastic Systems and Finite Elements with Full Symbolic Capability

Structural Mechanics is not a replacement for huge and expensive finite element analysis (FEA) programs; rather, it is an easy-to-use application that allows you to experiment, gain new insights, and preprocess problems before you launch into computationally expensive and time-consuming finite element modeling.

Structural Mechanics allows you to easily access and symbolically manipulate lengthy equations for linearized theory of elasticity in Cartesian, cylindrical, and spherical coordinates.
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Structural Mechanics requires Mathematica 3 or 4 and is available for Windows 95/98/Me/NT/2000, Mac OS, Mac OS X, Linux, and most Unix platforms.

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Time Series 1.3

A Fully Integrated Environment for Time-Dependent Data Analysis

Time Series performs univariate and multivariate analysis and enables you to explore both stationary and nonstationary models. You can select a model to fit your data and obtain estimates of the model's parameters. Choose from standard methods such as Yule-Walker, Levinson-Durbin, long autoregression, Hannan-Rissanen, and others.
After reading in and plotting your data, use the built-in Time Series transforms for linear filtering, simple exponential smoothing, differencing, moving averages, and more to transform your raw data into a form suitable for modeling. Calculating and plotting the correlation and partial correlation functions will help you spot patterns. Once you select a model to fit your data, Time Series makes it easy to estimate the model parameters and check its validity using residuals and tests such as the portmanteau, turning points, difference-sign, and others.
If you need to predict future values, Time Series can help there too. Best linear predictor and approximate best linear predictor are among the commonly used forecasting techniques included. Collect new data and you can instantly update your predictions.
In addition, Time Series enables you to analyze your data in frequency space. The spectral analysis tools inside Time Series use the Fourier transform and other robust numerical methods.
This package is also an ideal instructional tool with its description of the fundamentals of time series analysis and its clear, concise examples.
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Time Series requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS X, and most Unix platforms.

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Wavelet Explorer 1.2

New Generation Signal and Image Analysis

Discover the power of wavelets! Wavelet analysis, in contrast to Fourier analysis, uses approximating functions that are localized in both time and frequency space. It is this unique characteristic that makes wavelets particularly useful, for example, in approximating data with sharp discontinuities.
Engineers, physicists, astronomers, geologists, medical researchers, and others have already begun exploring the extraordinary array of potential applications of wavelet analysis, ranging from signal and image processing to data analysis. Wavelet Explorer introduces you to this exciting new area and delivers a broad spectrum of wavelet analysis tools to your desktop.
Wavelet Explorer's ready-to-use functions and utilities let you apply a variety of wavelet transforms to your projects. Generate commonly used filters such as the Daubechies' extremal phase and least asymmetric filters, coiflets, spline filters, and more. Visualize wavelets and wavelet packets and zoom in on their details. You can transform your data to a host of wavelet bases, wavelet packet bases, or local trigonometric bases and do inverse transforms in one and two dimensions. Then view the transform in time-frequency space, selecting different bases and boundary conditions. Data compression and denoising are surprisingly simple procedures with Wavelet Explorer's built-in functions.
The package comes with electronic documentation, which is fully integrated with the Mathematica Help Browser.

Wavelet Explorer requires Mathematica 4 or 5 and is available for Windows 98/Me/NT/2000/XP, Mac OS (for Mathematica 4 only), Mac OS X, and most Unix platforms.

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