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Mathematica
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Core Algorithms
Automated Probability and Statistics Superfunctions
New superfunctions automatically compute the probability of any event and the expectation of any expression, estimate distributions from data, or quantify goodness-of-fit.
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Build Your Own Distributions
Easily define and use new distributions from data, formulas, or other distributions, including copulas, mixtures, order statistics, censoring, truncation, and transforms.
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Group Theory Algorithms
Mathematica
8 introduces a collection of finite group structures, including permutation and symmetric groups as well as comprehensive group operations and properties.
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More Statistical Distributions than Any Other System
Work with 35 properties of 100 new distributions with specialized coverage of finance, medicine, and engineering. Includes automated parameter estimation.
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Parameter Estimation and Testing
A new streamlined process for parameter estimation and goodness-of-fit testing for built-in parametric distributions and derived distribution constructors, with automatic selection or user specification of routines.
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New and Improved Core Algorithms
Compute with powerful new algorithms for fast and exact linear algebra, integration of oscillatory functions, equation and inequality solving over domains, many special functions, and more.
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New in Version 8
Integration with Wolfram|Alpha
Free-Form Linguistic Input
Combine Knowledge and Computation
Computable Document Format
Core Algorithms
Probability and Statistics Solvers and Properties
Parametric Probability Distributions
Nonparametric, Derived, and Formula Distributions
Parameter Estimation and Testing
Group Theory Algorithms
New and Improved Core Algorithms
Application Areas
Comprehensive Image Processing Environment
Graphs and Networks Modeling
Graphs and Networks Analysis
Integrated Control Systems Design
Integrated Wavelet Analysis
Built-in Financial Computations
Import and Export Formats
Software Development
Compiler Performance Enhancements
Integrated C Workflow
SymbolicC
Dynamic Library Loading
CUDA and OpenCL Support
Mathematica
Shell Scripts
Graphics & Visualization
New Statistics Visualizations
New and Improved Scientific and Information Visualization
Financial Visualization
Enhanced 2D and 3D Graphics
Enhanced Illustration and Drawing Tools
Interface & User Experience
Usability Enhancements
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