In the News..
28-06-2006
MuPAD Pro 4 Released
MuPAD Pro 4 provides more mathematics under an improved, uniform user interface across the platforms Windows, MacOS X and
Linux read more..
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MuPAD 4
MuPAD has extensive mathematical functionality.
Below is a feature list of the main 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 & 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..
- o 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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