diff	Differentiate symbolic expression
int	Symbolic integration
limit	Compute limit of symbolic expression
symprod	Product of series
symsum	Sum of series
taylor	Taylor series expansion

Linear Algebra

colspace	Column space of matrix
curl	Curl of vector field
det	Compute determinant of symbolic matrix
diag	Create or extract diagonals of symbolic matrices
divergence	Divergence of vector field
eig	Compute symbolic eigenvalues and eigenvectors
expm	Compute symbolic matrix exponential
gradient	Gradient vector of scalar function
hessian	Hessian matrix of scalar function
inv	Compute symbolic matrix inverse
jacobian	Jacobian matrix
jordan	Jordan form of matrix
laplacian	Laplacian of scalar function
null	Form basis for null space of matrix
poly	Characteristic polynomial of matrix
potential	Potential of vector field
rank	Compute rank of symbolic matrix
rref	Compute reduced row echelon form of matrix
svd	Compute singular value decomposition of symbolic matrix
tril	Return lower triangular part of symbolic matrix
triu	Return upper triangular part of symbolic matrix
vectorPotential	Vector potential of vector field

Simplification

children	Subexpressions or terms of symbolic expression
coeffs	List coefficients of multivariate polynomial
collect	Collect coefficients
expand	Symbolic expansion of polynomials and elementary functions
factor	Factorization
horner	Horner nested polynomial representation
numden	Numerator and denominator
rewrite	Rewrite expression in new terms
simple	Search for simplest form of symbolic expression
simplify	Algebraic simplification
simplifyFraction	Symbolic simplification of fractions
subexpr	Rewrite symbolic expression in terms of common subexpressions

compose	Functional composition
dsolve	Ordinary differential equation and system solver
finverse	Functional inverse
odeToVectorField	Convert higher-order differential equations to systems of first-order differential equations
solve	Equations and systems solver

digits	Variable-precision accuracy
vpa	Variable-precision arithmetic

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

all	Test whether all equations and inequalities represented as elements of symbolic array are valid
and	Logical AND for symbolic expressions
any	Test whether at least one of equations and inequalities represented as elements of symbolic array is valid
not	Logical NOT for symbolic expressions
or	Logical OR for symbolic expressions
xor	Logical XOR for symbolic expressions

eq	Define equation
ge	Define greater than or equal to relation
gt	Define greater than relation
le	Define less than or equal to relation
lt	Define less than relation
ne	Define inequality

airy	Airy function
besseli	Modified Bessel function of the first kind
besselj	Bessel function of the first kind
besselk	Modified Bessel function of the second kind
bessely	Bessel function of the second kind
beta	Beta function
cosint	Cosine integral
dirac	Dirac delta
erf	Error function
erfc	Complementary error function
erfcinv	Inverse complementary error function
erfinv	Inverse error function
factorial	Factorial function
gamma	Gamma function
heaviside	Heaviside step function
hypergeom	Generalized hypergeometric
lambertw	Lambert W function
mfun	Numeric evaluation of special mathematical function
mfunlist	List special functions for use with `mfun`
nchoosek	Binomial coefficient
psi	Digamma function
sinint	Sine integral
whittakerM	Whittaker M function
whittakerW	Whittaker W function
wrightOmega	Wright omega function
zeta	Riemann zeta function

clear all	Remove items from MATLAB workspace and reset MuPAD engine
doc	Get help for MuPAD functions
evalin	Evaluate MuPAD expressions
feval	Evaluate MuPAD expressions
getVar	Get variable from MuPAD notebook
mupad	Start MuPAD notebook
mupadwelcome	Start MuPAD interfaces
openmn	Open MuPAD notebook
openmu	Open MuPAD program file
openmuphlp	Open MuPAD help file
openxvc	Open MuPAD XVC graphics file
openxvz	Open MuPAD XVZ graphics file
read	Read MuPAD program file into symbolic engine
reset	Close MuPAD engine
setVar	Assign variable in MuPAD notebook
symengine	Return symbolic engine
trace	Enable and disable tracing of MuPAD commands

ezcontour	Contour plotter
ezcontourf	Filled contour plotter
ezmesh	3-D mesh plotter
ezmeshc	Combined mesh and contour plotter
ezplot	Plot symbolic expression, equation, or function
ezplot3	3-D parametric curve plotter
ezpolar	Polar coordinate plotter
ezsurf	3-D colored surface plotter
ezsurfc	Combined surface and contour plotter
funtool	Function calculator
rsums	Interactive evaluation of Riemann sums
taylortool	Taylor series calculator

ccode	C code representation of symbolic expression
char	Convert symbolic objects to strings
double	Convert symbolic matrix to MATLAB numeric form
fortran	Fortran representation of symbolic expression
int8, int16, int32, int64	Convert symbolic matrix to signed integers
latex	LaTeX representation of symbolic expression
matlabFunction	Convert symbolic expression to function handle or file
matlabFunctionBlock	Convert symbolic expression to MATLAB Function block
poly2sym	Polynomial coefficient vector to symbolic polynomial
simscapeEquation	Convert symbolic expressions to Simscape language equations
single	Convert symbolic matrix to single precision
subs	Symbolic substitution
sym2poly	Symbolic-to-numeric polynomial conversion
uint8, uint16, uint32, uint64	Convert symbolic matrix to unsigned integers

argnames	Input variables of symbolic function
assume	Set assumption on symbolic object
assumeAlso	Add assumption on symbolic object
assumptions	Show assumptions set on symbolic variable
ceil	Round symbolic matrix toward positive infinity
conj	Symbolic complex conjugate
fix	Round toward zero
floor	Round symbolic matrix toward negative infinity
formula	Mathematical expression defining symbolic function
frac	Symbolic matrix element-wise fractional parts
imag	Imaginary part of complex number
isAlways	Check whether equation or inequality holds for all values of its variables
log10	Logarithm base 10 of entries of symbolic matrix
log2	Logarithm base 2 of entries of symbolic matrix
logical	Check validity of equation or inequality
mod	Symbolic matrix element-wise modulus
pretty	Prettyprint symbolic expressions
quorem	Symbolic matrix element-wise quotient and remainder
real	Real part of complex number
round	Symbolic matrix element-wise round
size	Symbolic matrix dimensions
sort	Sort symbolic vectors, matrices, or polynomials
sym	Create symbolic objects
symfun	Create symbolic functions
syms	Shortcut for creating symbolic variables and functions
symvar	Find symbolic variables in symbolic expression, matrix, or function

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

Integrating Symbolic Computations in Other Toolboxes and Simulink

Functions — Alphabetical List

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