Symbolic Math Toolbox    

Function Reference






Functions -- By Category

This chapter provides detailed descriptions of all Symbolic Math Toolbox functions. It begins with tables of these functions and continues with the reference pages for the functions in alphabetical order.

Calculus
diff
 Differentiate
int
 Integrate
jacobian
 Jacobian matrix
limit
 Limit of an expression
symsum
 Summation of series
taylor
 Taylor series expansion

Linear Algebra
colspace
 Basis for column space
det
 Determinant
diag
 Create or extract diagonals
eig
 Eigenvalues and eigenvectors
expm
 Matrix exponential
inv
 Matrix inverse
jordan
 Jordan canonical form
null
 Basis for null space
poly
 Characteristic polynomial
rank
 Matrix rank
rref
 Reduced row echelon form
svd
 Singular value decomposition
tril
 Lower triangle
triu
 Upper triangle

Simplification
collect
 Collect common terms
expand
 Expand polynomials and elementary functions
factor
 Factor
horner
 Nested polynomial representation
numden
 Numerator and denominator
simple
 Search for shortest form
simplify
 Simplification
subexpr
 Rewrite in terms of subexpressions

Solution of Equations
compose
 Functional composition
dsolve
 Solution of differential equations
finverse
 Functional inverse
solve
 Solution of algebraic equations

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

Arithmetic Operations
+
 Addition
-
 Subtraction
*
 Multiplication
.*
 Array multiplication
/
 Right division
./
 Array right division
\
 Left division
.\
 Array left division
^
 Matrix or scalar raised to a power
.^
 Array raised to a power
'
 Complex conjugate transpose
.'
 Real transpose

Special Functions
cosint
 Cosine integral, Ci(x)
hypergeom
 Generalized hypergeometric function
lambertw
 Solution of
sinint
 Sine integral, Si(x)
zeta
 Riemann zeta function

Access To Maple
maple
 Access Maple kernel
mapleinit
 Initialize Maple
mfun
 Numeric evaluation of Maple functions
mhelp
 Maple help
mfunlist
 List of functions for mfun
procread
 Install a Maple procedure

Pedagogical and Graphical Applications
ezcontour
 Contour plotter
ezcontourf
 Filled contour plotter
ezmesh
 Mesh plotter
ezmeshc
 Combined mesh and contour plotter
ezplot
 Function plotter
ezplot3
 3-D curve plotter
ezpolar
 Polar coordinate plotter
ezsurf
 Surface plotter
ezsurfc
 Combined surface and contour plotter
funtool
 Function calculator
rsums
 Riemann sums
taylortool
 Taylor series calculator

Conversions
char
 Convert sym object to string
double
 Convert symbolic matrix to double
poly2sym
 Function calculator
sym2poly
 Symbolic polynomial to coefficient vector

Basic Operations
ccode
 C code representation of a symbolic expression
conj
 Complex conjugate
findsym
 Determine symbolic variables
fortran
 Fortran representation of a symbolic expression
imag
 Imaginary part of a complex number
latex
 LaTeX representation of a symbolic expression
pretty
 Pretty print a symbolic expression
real
 Real part of an imaginary number
sym
 Create symbolic object
syms
 Shortcut for creating multiple symbolic objects

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


  Precompiled Maple Procedures Functions -- Alphabetical List