Elementary functions

The Elementary Functions module provides a wide range of fundamental mathematical operations and matrix manipulations in Nelson.

It includes numeric computations, array and matrix operations, complex number handling, rounding and scaling, and various utility functions for querying properties of arrays and matrices.

The module also supports construction of special matrices, grids, and sequences, enabling robust and efficient implementation of mathematical algorithms and numerical analyses.

abs
Absolute value
allfinite
Check if all array elements are finite.
angle
Phase angle
base2dec
Convert number in a base to decimal.
bernsteinMatrix
Bernstein matrix
bin2dec
Convert number in base 2 to decimal.
bin2num
Convert two's complement binary string to number.
blkdiag
Block diagonal matrix
cast
Converts variable to a different data type
ceil
Round up
circshift
Circular shift
complex
Creates an complex number.
conj
Complex conjugate
deal
Distribute inputs to outputs.
dec2base
Convert decimal number to another base.
dec2bin
Convert decimal number to base 2.
dec2hex
Convert decimal number to base 16.
exp
Exponential
factorial
Factorial function
filter
1-D digital filter
find
Find Non-zero Elements
fix
Round towards zero
flip
Flip order of elements
flipdim
Flip array along specified dimension
fliplr
Flip order of elements left to right
flipud
Flip order of elements up to dow
floor
Round down
hadamard
Hadamard matrix
hankel
Hankel matrix
hex2dec
Convert number in base 16 to decimal.
hilb
Hilbert matrix
hypot
Square root of sum of squares
imag
Imaginary part of an complex number.
ind2sub
Linear index to matrix subscript values
invhilb
Inverse of Hilbert matrix
ipermute
Inverse permute array dimensions.
isapprox
Return true if arguments are approximately equal, within the precision.
iscolumn
Determine whether input is column vector.
istriu
Checks if matrix is diagonal.
isequal
Return true if all arguments x1, x2, ... , xn are equal (same dimensions, same values).
isequaln
Return true if all arguments x1, x2, ... , xn are equal (same dimensions, same values or NaNs).
isequalto
Return true if all arguments x1, x2, ... , xn are equal (same type, same dimensions, same values or NaNs).
isfinite
Check for finite entries.
isinf
Check for Infinity entries.
ismatrix
determines whether input is matrix or not
isnan
Check for Not a Number entries.
isrow
Determine whether input is row vector.
isscalar
Check if the input is a scalar
istril
Checks if matrix is lower triangular.
istriu
Checks if matrix is upper triangular.
isvector
Checks input is vector.
length
Length of an object.
linspace
linearly spaced vector constructor.
log
Natural logarithm.
log10
Common logarithm (base 10).
log1p
log(1 + x) accurately for small values of x.
log2
dissect floating-point numbers into base 2 exponent and mantissa.
logspace
logarithmically spaced vector constructor.
magic
Magic square
meshgrid
Cartesian rectangular grid in 2-D or 3-D.
minus
Subtraction, - operator
mod
Modulus after division.
ndgrid
Rectangular grid in N-D space
ndims
Number of dimensions of an array.
nextpow2
Exponent of next higher power of 2
norm
Matrix and vector norms
normest
2-norm estimate
nthroot
The real 𝑛th root of real number.
num2bin
Convert number to binary representation.
numel
Number of elements.
permute
Permute array dimensions.
pinv
Moore-Penrose pseudoinverse
pow2
Base 2 exponentiation and scaling of floating-point numbers.
real
Real part of an complex number.
rem
Remainder after division.
repmat
Replicate and tile an array.
reshape
Reshapes a vector or a matrix to a different size matrix.
rosser
Classic symmetric eigenvalue test problem.
rot90
Rotate array 90 degrees.
round
Round to nearest integer
shiftdim
Shift array dimensions
sign
Find the sign function of a number.
size
Size of an object.
sqrt
Square root.
squeeze
Remove dimensions of length 1.
sub2ind
Matrix subscript values to linear index
substruct
Create structure argument for subsasgn or subsref
swapbytes
Swap byte ordering.
toeplitz
Toeplitz matrix
tril
Lower triangular part of matrix
triu
Upper triangular part of matrix
vander
Vandermonde matrix
wilkinson
Wilkinson's eigenvalue test matrix