Symbolic Toolbox for Scilab: List of functions

List of available functions
Lists by topics

Links to help files

These help files are expected to give an idea of the potentialities of the toolbox. Some of them contain an illustrative example but more detailed examples are available on the tutorial pages.

`abs`	`bfloat`	`coeffs`	`colspace`	`conj`
`dbl`	`declare`	`degrees`	`det`	`diag`
`diff`	`eig`	`eval`	`exp`	`expand`
`extractlist`	`factor`	`findpid`	`findsym`	`float`
`fortran`	`gcd`	`hlp`	`horner`	`imag`
`ilaplace`	`integ`	`inv`	`jordan`	`killserver`
`laplace`	`latex`	`lcm`	`limit`	`max2scistr`
`maxima`	`mclear`	`mexec`	`mfun`	`mhlp`
`minfo`	`null`	`numden`	`rank`	`ra2str`
`real`	`restartserver`	`rref`	`scistr2max`	`simple`
`size`	`stradd`	`strchsign`	`strhconcat`	`strminus`
`strmult`	`strpow`	`strvconcat`	`subs`	`sym`
`syml`	`syms`	`symsum`	`symtype`	`taylor`
`trace`	`tril`	`triu`	`typ`	`varn2`

Lists of the Scilab LFRT functions ordered by topics

Function links refer to the tutorial pages.

Symbolic object generation
Elementary functions
Trigonometric functions
Polynomial / rational functions
Matrix manipulations
Calculus
Evaluation and substitution:
General functions
Access to Maxima kernel
Communication Scilab / Maxima

Symbolic object generation
`sym`	Generation of sym-objects and conversions
`syms`	Generation of 1-by-1 real sym-objects
`syml`	Generation of syml-objects (Maxima symbolic lists)
`symtype`	Returns symbolic type (odd, even,... real, complex)
`findsym`	Retrieves symbolic atoms from an expression

Elementary functions
`conj`	Conjugate-transpose
`real`	Real part
`imag`	Imaginary part
`abs`	Modulus
`log`	Natural logarithm
`exp`	Exponential
`sqrt`	Square root

Polynomial / rational functions
`factor`	Factorization
`expand`	Expansion
`simple`	Some kind of simplification
`horner`	Horner form of a polynomial
`numden`	Numerator and denominator
`coeffs`	Coefficients of a polynomial
`degrees`	Partial degrees of a polynomial
`gcd`	Greatest common divisor
`lcm`	Least common multiple

Matrix manipulations
`size`	Size
`det`	Determinant
`inv`	Matrix inverse
`diag`	Extracts diagonal or creates diagonal matrix
`eig`	Computes eigenvalues/eigenvectors
`trace`	Computes the trace
`null`	Null space
`rank`	Rank
`colspace`	Column span
`rref`	Row echelon form of a matrix
`triu`	Upper triangular form
`tril`	Lower triangular form

Calculus
`diff`	Differentiation
`integ`	Integration
`limit`	Limit
`symsum`	Sums and limits of series
`taylor`	Taylor expansion
`laplace`	Laplace transform
`ilaplace`	Inverse Laplace transform

Evaluation and substitution
`eval`	Evaluation considering values in workspace
`subs`	Substitutions
`dbl`	Numerical floating point evaluation
`float`	Symbolic floating point evaluation
`bfloat`	High precision symbolic floating point evaluation

General
`hlp`	Help for Scilab functions
`typ`	Types function files in a command window
`symbolic`	List of functions of the toolbox
`latex`	Symbolic expression in LaTeX forma (amsmath)
`fortran`	Symbolic expression in Fortran format

Access to Maxima kernel
`mhlp`	Displays Maxima help in Scilab
`minfo`	Displays Maxima version and paths
`maxima`	Invokes a Maxima function and retrieves result in Scilab
`mexec`	Executes a Maxima command only in Maxima workspace
`mclear`	Clears declarations in Maxima workspace

Communication Scilab / Maxima
`killserver`	Must be invoked before shuting down Scilab
`restartserver`	Reinitialize Maxima workspace and server
`str2max2sym`	Function which controls communication Scilab / Maxima
`findpid`	Finds task PIDs (Unix)

Standard operations: The functions which overload standard operations (+,-,*,/,^), concatenation, extraction and insertion, are not reported here.

Trigonometric functions: cos, acos, cosh, acosh, sin, asin, sinh, asinh, tan, atan, tanh, atanh, cotg, coth.

Missing functions: pretty (waiting for improved version of Maxima), poly2sym, sym2poly, dsolve, solve, mfun (?).

Functions to be modified or rewritten: exp/max2scistr (consider Maxima expressions like %e^-(...)), sym (conversion to rational numbers), simple (misleading name), eig and inv (find a better Maxima implementation). List to be completed.

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