Features
Features of Mathematica include:
- Elementary mathematical function library
- Special mathematical function library
- Matrix and data manipulation tools including support for sparse arrays
- Support for complex number, arbitrary precision, interval arithmetic and symbolic computation
- 2D and 3D data and function visualization and animation tools
- Solvers for systems of equations, diophantine equations, ODEs, PDEs, DAEs, DDEs and recurrence relations
- Numeric and symbolic tools for discrete and continuous calculus
- Multivariate statistics libraries including fitting, hypothesis testing, and probability and expectation calculations on over 100 distributions.
- Constrained and unconstrained local and global optimization
- Programming language supporting procedural, functional and object oriented constructs
- Toolkit for adding user interfaces to calculations and applications
- Tools for image processing and morphological image processing including image recognition
- Tools for visualizing and analysing graphs
- Tools for combinatoric problems
- Tools for text mining including regular expressions and semantic analysis
- Data mining tools such as cluster analysis, sequence alignment and pattern matching
- Number theory function library
- Tools for financial calculations including bonds, annuities, derivatives, options etc.
- Group theory functions
- Libraries for wavelet analysis on sounds, images and data
- Control systems libraries
- Continuous and discrete integral transforms
- Import and export filters for data, images, video, sound, CAD, GIS, document and biomedical formats
- Database collection for mathematical, scientific, and socio-economic information and access to WolframAlpha data and computations
- Technical word processing including formula editing and automated report generating
- Tools for connecting to DLLs. SQL, Java, .NET, C++, FORTRAN, CUDA, OpenCL and http based systems
- Tools for parallel programing
- Using both "free-form linguistic input" (a natural language user interface) and Mathematica language in notebook when connected to the Internet
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