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.

Functions

• 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

• gallery - Generate commonly used test matrices and data for numerical experiments

• 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

• maxk - k largest elements of an array

• meshgrid - Cartesian rectangular grid in 2-D or 3-D.

• mink - k smallest elements of an array

• 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.

• pascal - Pascal's triangle

• 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