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MuPAD Pro is a full-fledged computer algebra system for symbolic and numeric computing. Beside the common features of all MuPAD versions, MuPAD Pro for Windows offers some highlights ? especially a user-friendly interface ? for doing mathematics as easy as possible with the conviences of mouse and keyboard.
- Notebook Concept
A Notebook is the basic part of MuPAD Pro. It combines mathematical computations, advanced text processing and inline graphics in one document. In a Notebook you can re-edit and re-evaluate existing MuPAD expressions.
Multiple independent Notebooks can be opened at once, and Notebooks can be exported to RTF, plain text and HTML documents.
- Source code editor
MuPAD Pro for Windows includes a source code editor for writing user-defined procedures with syntax coloring and bookmark management.
- Source Code Debugger
A powerful tool for step-by-step execution of MuPAD procedures. It displays used variables and allows evaluation of arbitrary expressions during debugging.
- Interactive Graphics Tools News in 3.0
The Virtual Camera (VCam) for 2D and 3D visualizations of functions, curves, surfaces and many other mathematical objects.
- Hypertext Online Help
Extensive documentation of all MuPAD commands with user definable links and bookmarks using a Help Browser with fast and comfortable search functions.
- OLE 2 Support
MuPAD Notebooks and VCam Graphics can be embedded into other OLE applications like Microsoft Word or Excel. On the other hand, Excel sheets can be embedded into a MuPAD Pro Notebook.
- Other goodies
Extras Menu ? a user definable menu with commonly used MuPAD commands.
Command Bar ? a graphical tool bar with commonly used MuPAD commands.
Drag and Drop support.
General Capabilities and Features
- Multi-precision arithmetic
- Symbolic computation and expression manipulation
- User-definable data structures
- Procedural, object-oriented and functional programming
- Dynamic linking of external binary code
- Extensive online hypertext documentation
- Interactive 2D- and 3D-graphics tool
Extensive Mathematics Capabilities
- Solve:
- Equations and systems of equations
- Inequalities
- Ordinary and partial differential equations
- Linear recurrence relations
- Linear congruences
- Polynomial diophantine equations
- Equations over standard domains (integer; real; complex)
- Equations over abstract algebraic structures
- Calculus:
- Limits
- Integration
- Differentiation
- Series expansions
- Integral transforms
- Differential operators
- Orthogonal polynomials
- Piecewise defined functions
- Linear Algebra:
- Matrices over arbitrary coefficient rings
- Determinants
- Eigenvalues
- Eigenvectors
- Canonical forms
- Divergence
- Gradient
- Curl
- Numerics:
- Solve equations and systems of equations
- Polynomial roots
- Integration
- ODEs
- Functional calculus for matrices
- Eigenvalues
- Eigenvectors
- Singular value decomposition
- FFT
- Polynomial interpolation
- Splines
- Optimization problems
- Extended library when the Scilab numerical system is connected to MuPAD
- Assumptions and Properties:
- Attach properties to identifiers
- Check mathematical properties of identifiers and expressions
- Set Theory:
- Union
- Intersection
- Cartesian product
- Power set
- Polynomials:
- Over arbitrary rings
- Sparse representation
- Gcd
- Factorization
- Groebner bases
- Linear Optimization:
- Solve
- Minimize, maximize
- Plot linear and mixed-integer programs
- Number Theory:
- Continued fractions
- Factorization using elliptic curves
- Jacobi and Legendre symbol
- Euler phi
- Euler totient
- Mangoldt's, Moebius and Carmichael functions
- Modular and primitive roots
- Combinatorics:
- Bell, Catalan, and Stirling numbers
- Compositions
- Partitions of numbers
- Powerset
- Permutations of lists
- Subsets
- Generators
- Statistics:
- Bravais-Pearson and Fechner correlation
- Continuous and discrete distributions
- Chi square, normal and T distribution
- Arithmetic; geometric
- Harmonic and quadratic mean
- Linear and non-linear regression
- Standard and mean deviation
- Variance, covariance, kurtosis, and k-th moment
- Random number generators
- Quartiles
- Cumulative and probability densities for 16 types of parametrized distributions
- Goodness-of-fit tests
- Box plot representations of statistical samples
- Networks and Graphs:
- Define, edit, and plot; find shortest paths or maximal flows
- Lindenmayer Systems:
- Define and draw fractals by means of context-free grammars
- Algebraic Structures:
- Symmetric groups
- Polynomial rings
- Matrix rings and groups
- Product rings
- Algebraic field extensions
- Finite fields and quotient fields
- User-created domains extend these structures.
- Library source included
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