Friday, January 06, 2006

 

symbolic

>> help symbolic

  Symbolic Math Toolbox.
  Version 3.0.1 (R13SP1) 27-Dec-2002

  Calculus.
    diff        - Differentiate.
    int         - Integrate.
    limit       - Limit.
    taylor      - Taylor series.
    jacobian    - Jacobian matrix.
    symsum      - Summation of series.

  Linear Algebra.
    diag        - Create or extract diagonals.
    triu        - Upper triangle.
    tril        - Lower triangle.
    inv         - Matrix inverse.
    det         - Determinant.
    rank        - Rank.
    rref        - Reduced row echelon form.
    null        - Basis for null space.
    colspace    - Basis for column space.
    eig         - Eigenvalues and eigenvectors.
    svd         - Singular values and singular vectors.
    jordan      - Jordan canonical (normal) form.
    poly        - Characteristic polynomial.
    expm        - Matrix exponential.

  Simplification.
    simplify    - Simplify.
    expand      - Expand.
    factor      - Factor.
    collect     - Collect.
    simple      - Search for shortest form.
    numden      - Numerator and denominator.
    horner      - Nested polynomial representation.
    subexpr     - Rewrite in terms of subexpressions.
    subs        - Symbolic substitution.

  Solution of Equations.
    solve       - Symbolic solution of algebraic equations.
    dsolve      - Symbolic solution of differential equations.
    finverse    - Functional inverse.
    compose     - Functional composition.

  Variable Precision Arithmetic.
    vpa         - Variable precision arithmetic.
    digits      - Set variable precision accuracy.

  Integral Transforms.
    fourier     - Fourier transform.
    laplace     - Laplace transform.
    ztrans      - Z transform.
    ifourier    - Inverse Fourier transform.
    ilaplace    - Inverse Laplace transform.
    iztrans     - Inverse Z transform.

  Conversions.
    double      - Convert symbolic matrix to double.
    poly2sym    - Coefficient vector to symbolic polynomial.
    sym2poly    - Symbolic polynomial to coefficient vector.
    char        - Convert sym object to string.

  Basic Operations.
    sym         - Create symbolic object.
    syms        - Short-cut for constructing symbolic objects.
    findsym     - Determine symbolic variables.
    pretty      - Pretty print a symbolic expression.
    latex       - LaTeX representation of a symbolic expression.
    ccode       - C code representation of a symbolic expression.
    fortran     - FORTRAN representation of a symbolic expression.

  Special Functions.
    sinint      - Sine integral.
    cosint      - Cosine integral.
    zeta        - Riemann zeta function.
    lambertw    - Lambert W function.
    gcd         - Greatest common divisor.
    lcm         - Least common multiple.

  String handling utilities.
    isvarname   - Check for a valid variable name (MATLAB Toolbox).
    vectorize   - Vectorize a symbolic expression.

  Pedagogical and Graphical Applications.
    rsums       - Riemann sums.
    ezcontour   - Easy to use contour plotter.
    ezcontourf  - Easy to use filled contour plotter.
    ezmesh      - Easy to use mesh (surface) plotter.
    ezmeshc     - Easy to use combined mesh/contour plotter.
    ezplot      - Easy to use function, implicit, and parametric curve plotter.
    ezplot3     - Easy to use spatial curve plotter.
    ezpolar     - Easy to use polar coordinates plotter.
    ezsurf      - Easy to use surface plotter.
    ezsurfc     - Easy to use combined surface/contour plotter.
    funtool     - Function calculator.
    taylortool  - Taylor series calculator.

  Demonstrations.
    symintro    - Introduction to the Symbolic Toolbox.
    symcalcdemo - Calculus demonstration.
    symlindemo  - Demonstrate symbolic linear algebra.
    symvpademo  - Demonstrate variable precision arithmetic
    symrotdemo  - Study plane rotations.
    symeqndemo  - Demonstrate symbolic equation solving.

  Access to Maple. (Not available with Student Version.)
    maple       - Access Maple kernel.
    mfun        - Numeric evaluation of Maple functions.
    mfunlist    - List of functions for MFUN.
    mhelp       - Maple help.
    procread    - Install a Maple procedure. (Requires Extended Toolbox.)

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