Advanced mathematical functions: Advanced mathematical functions including Airy, Bessel, Beta and Elliptic functions. Function list.
Basic mathematical functions: Most commonly used mathematical functions. See also "Trigonometric functions ". Function list.
Commands: Commands in the Console control to manage screen appearance and variables. Function list.
Constants: Commonly used constants and parameters used by the execution engine. Function list.
Digital signal processing: A set of DSP functions that target filter design, FFT, windowing and signal manipulation. Function list.
Functions of polynomials: Functions that generate or manipulate polynomials and functions that deal with the roots of polynomials. Function list.
Linear algebra: A set of functions that manipulate, build up and decompose real and complex matrices. Function list.
Matrix operators: Unitary and binary matrix functions that generate new matrices. Function list.
Membership: Functions that check whether certain elements belong to a given class of objects. Function list.
Relational operators: Functions (operators) to compare numbers and matrices. Function list.
Special matrices: Often used special vectors and matrices. Function list.
Statistics: Typical statistical functions. Function list.
Support functions: Functions to convert, manage folders, display variables and manage variables. Function list.
Trigonometric functions: A set of trigonometric and hyperbolic functions commonly used in applications. Function list.
Vector analysis: Functions that generate vectors based on given vectors or matrices. Function list.
airy - Airy function
besselh - Bessel function 3rd kind
besseli - modified Bessel function 1st kind
besselj - Bessel function 1st kind
bessely - Bessel function 2nd kind
beta - beta function
erf - error function
erfc - complementary error function
erfcinv - inverse complementary error function
erfcx - scaled complementary error function
erfinv - inverse error function
expint - exponential integral function
gamma - gamma function
gammainc - incomplete gamma function
gammaln - natural logarithm of gamma function
psi - psi function
abs - absolute value
angle - phase angle of complex numbers
ceil - rounds towards +inf
conj - conjugate complex
exp - exponential function
factor - generates a list of factors
factorial - n!
fix - rounds towards 0
floor - rounds towards -inf
gcd - greatest common divisor
imag - imaginary part
lcm - least common multiple
log - natural logarithm
log10 - base 10 logarithm
log2 - base 2 logarithm
max - largest element
min - smallest element
mod - modulo
real - real part
rem - integer quotient and remainder
rot90 - 90 degree rotation of matrices
round - rounds to nearest number
sign - sign of matrix elements
sqrt - square root function
clc - clears screen
clear [item] - deletes the specified 'item'
clear all - deletes all definitions in this file
ink [expression] - renders 'expression' as ink
mathml [expression] - renders 'expression' as mathml
nan - not-a-number
eps - machine precision
inf - infinity
pi - pi
fft - Fourier transform
ifft - inverse Fourier transform
linspace - linearly sampled data
logspace - logarithmically sampled data
conv - convolution
poly - polynomial with given roots
roots - roots of polynomials
chol - Cholesky decomposition
compan - companion matrix
cond - condition number using SVD
ctrans - complex conjugate transpose
det - determinant of a matrix
diag - diagonal matrix or diagonal of a matrix
diff - differences
dot - dot product
eig - eigenvectors and eigenvalues
expm - matrix exponential
horzcat - horizontal matrix concatenation
inv - matrix inverse
logm - matrix logarithm
lud - lu-decomposition of matrices
nnz - total number of nonzero matrix elements
norm - vector/matrix norm
pinv - pseudoinverse
qr - QR-decomposition
rank - matrix rank
reshape - reshapes matrix
size - matrix size
sort - sorts vectors and matrices
sqrtm - square root of a square matrix
sum - sum
svd - singular value decomposition
trace - matrix trace
transpose - non-conjugate transpose
vertcat - vertical matrix concatenation
all - all inputs are 0
isprime - checks whether matrix elements are prime numbers
isreal - checks whether a matrix is real
issorted - matrix is sorted
eq - equal
ge - greater than or equal
le - less than or equal
lt - less than
ne - not equal
eye - generates identity matrix
hadamard - Hadamard matrix
hankel - Hankel matrix
hilb - Hilbert matrix
invhilb - inverse of Hilbert matrix
ones - matrix of ones
pascal - Pascal matrix
peaks - matrices for demonstration purposes
perms - all permutations
primes - generates a list of prime numbers
rosser - Rosser matrix
toeplitz - Toeplitz matrix
vander - Vandermonde matrix
wilkinson - Wilkinson matrix
zeros - matrix of zeros
cov - covariance matrix
hist - histogram
mean - mean value
median - median value
nchoosek - binomial coefficient
rand - uniformly distributed pseudorandom numbers
randn - normally distributed pseudorandom numbers
std - standard deviation
var - variance
help - provides online help
who - returns variables
whos - returns variables with additional information
acos - inverse cos function
acosh - inverse hyperbolic cos function
acot - inverse cot function
acoth - inverse hyperbolic cot function
acsc - inverse cosecant function
acsch - inverse hyperbolic cosecant function
asec - inverse secant function
asech - inverse hyperbolic secant function
asin - inverse sin function
asinh - inverse sinh function
atan - inverse tan function
atan2 - atan2 function
atanh - inverse hyperbolic tan function
cos - cos function
cosh - hyperbolic cos function
cot - cot function
coth - hyperbolic cot function
csc - cosecant function
csch - hyperbolic cosecant function
sec - secant function
sech - hyperbolic secant function
sin - sin function
sinc - sinc function
sinh - sinh function
tan - tan function
tanh - tanh function
cross - cross product
kron - Kronecker tensor product