Elementary Functions

• Bitwise operations
  • bitand — bitwise logical AND between element-wise integers of 2 arrays
  • bitcmp — bitwise complement
  • bitget — bit at specified position
  • bitor — bitwise logical OR between element-wise integers of 2 arrays
  • bitset — set bit at specified position
  • bitxor — bitwise logical XOR between element-wise integers of 2 arrays
• Complex numbers
  • complex — Create a complex number.
  • conj — Complex conjugate
  • imag — imaginary part of complex numbers, polynomials, or rationals
  • imult — multiplication by i the imaginary unitary
  • isreal — check if a variable is stored as a complex matrix
  • real — real part of complex numbers, polynomials, or rationals
• Discrete mathematics
  • factor — factor function
  • factorial — The factorial function
  • gcd — Greatest (positive) Common Divisor
  • lcm — least common (positive) multiple of integers or of polynomials
  • perms — all permutations of vector components
  • primes — primes function
  • rat — Floating point rational approximation
• Matrix generation
  • diag — diagonal including or extracting
  • empty — ([]) empty matrix
  • eye — identity matrix
  • grand — Random numbers
  • linspace — generates linearly spaced numbers between 2 reached bounds
  • logspace — logarithmically spaced vector
  • meshgrid — create matrices or 3-D arrays
  • ndgrid — build matrices or N-D arrays by replicating some template vectors
  • ones — matrix made of ones
  • rand — Random numbers
  • repmat — Replicate and tile an array
  • squarewave — generates a square wave with period 2*%pi
  • testmatrix — generate special matrices, such as Hilbert, Franck
  • toeplitz — Toeplitz matrix (chosen constant diagonal bands)
  • zeros — matrix made of zeros
• Log - exp - power
  • exp — element-wise exponential
  • expm — square matrix exponential
  • log — natural logarithm
  • log10 — base 10 logarithm
  • log1p — computes with accuracy the natural logarithm of its argument added by one
  • log2 — base 2 logarithm
  • logm — square matrix logarithm
  • nthroot — Real nth root of real numbers
  • polar — polar form
  • power — (^,.^) power operation
  • sqrt — square root
  • sqrtm — matrix square root
• Floating point
  • ceil — round up
  • clean — cleans matrices (round to zero small entries)
  • double — converts inttype integers or booleans into decimal encoding
  • fix — round towards zero
  • floor — round down
  • format — set the default output format of decimal numbers
  • frexp — dissect floating-point numbers into base 2 exponent and mantissa
  • ieee — sets or gets the floating point exception mode
  • int — round towards zero
  • isinf — tests for infinite elements
  • isnan — check for "Not a Number" entries
  • nearfloat — get previous or next floating-point number
  • nextpow2 — next higher power of 2.
  • number_properties — determine floating-point parameters
  • round — round to nearest integer
• Radix conversions
  • base2dec — convert from base b to decimal
  • bin2dec — convert from binary to decimal
  • dec2base — Convert decimal to base N number in string
  • dec2bin — convert from decimal to binary
  • dec2hex — convert from decimal to hexadecimal
  • dec2oct — convert from decimal to octal
  • hex2dec — convert from hexadecimal to decimal
  • oct2dec — convert from octal to decimal
• Matrix - shaping
  • Shape tests
    • iscolumn — check if a variable is a column
    • ismatrix — checks if an object is a non-empty 1D or 2D matrix or array
    • isrow — check if a variable is a row
    • isscalar — check if a variable is a scalar.
    • issquare — check if a variable is a square matrix
    • isvector — check if a variable is a vector
  • cat — stacks vectors matrices or arrays into an hypermatrix or hyperarray
  • flipdim — reverses the order of (blocks of) rows, columns, pages.. of an array
  • matrix — reshapes an array with the same number and order of components
  • permute — permutes the dimensions of an array
  • pertrans — Transposition with reference to the 2nd diagonal
  • resize_matrix — trim or/and extend (and cast) a matrix or hypermatrix
  • squeeze — removes singleton dimensions of a hypermatrix
• Matrix operations
  • abs — absolute value, magnitude
  • and — logical AND between the elements of a boolean or numerical array
  • cross — vector cross product
  • cumprod — cumulative product of array elements
  • cumsum — cumulative sum of array elements
  • kron — Kronecker product (.*.)
  • max — maximum
  • min — minimum
  • norm — norms of a vector or a matrix
  • or — logical OR over the elements of a boolean or numerical array
  • prod — product of array elements
  • sign — signum function
  • signm — matrix signum function
  • sum — sum of array elements
  • tril — lower triangular part of matrix
  • triu — upper triangle
  • unwrap — unwrap a Y(x) profile or a Z(x,y) surface. Unfold a Y(x) profile
• Search and sort
  • dsearch — distribute, locate and count elements of a matrix or hypermatrix in given categories
  • find — find indices of boolean vector or matrix true elements
  • gsort — sorting by quick sort algorithm
  • members — count (and locate) in an array each element or row or column of another array
  • vectorfind — finds in a matrix rows or columns matching a vector
• Set operations
  • intersect — returns the unduplicated elements or rows or columns met in both input arrays
  • setdiff — returns elements or rows or columns of an array that do not belong to another one
  • union — extract union components of a vector
  • unique — extracts (and sorts) distinct elements, rows or columns of a matrix
• Signal processing
  • bloc2ss — block-diagram to state-space conversion
  • pen2ea — pencil to E,A conversion
  • ssrand — random system generator
  • sysconv — system conversion
  • sysdiag — Create a block diagonal matrix from provided inputs or block diagonal system connection
  • trfmod — poles and zeros display
• Trigonometry
  • Matrix-wise processing
    • acoshm — matrix hyperbolic inverse cosine
    • acosm — matrix wise cosine inverse
    • asinhm — matrix hyperbolic inverse sine
    • asinm — matrix wise sine inverse
    • atanhm — matrix hyperbolic tangent inverse
    • atanm — square matrix tangent inverse
    • coshm — matrix hyperbolic cosine
    • cosm — matrix cosine function
    • cothm — matrix hyperbolic cotangent
    • sinhm — matrix hyperbolic sine
    • sinm — matrix sine function
    • tanhm — matrix hyperbolic tangent
    • tanm — matrix tangent
  • acos — element wise cosine inverse (radians)
  • acosd — element wise cosine inverse, result in degree.
  • acosh — hyperbolic cosine inverse
  • acot — computes the element-wise inverse cotangent of the argument.
  • acotd — computes the element-wise inverse cotangent of the argument, result in degree.
  • acoth — element wise hyperbolic cotangent inverse.
  • acsc — computes the element-wise inverse cosecant of the argument.
  • acscd — computes the element-wise inverse cosecant of the argument, results in degree.
  • acsch — computes the element-wise inverse hyperbolic cosecant of the argument.
  • asec — computes the element-wise inverse secant of the argument.
  • asecd — computes the element-wise inverse secant of the argument, results in degree.
  • asech — computes the element-wise inverse hyperbolic secant of the argument.
  • asin — sine inverse (radians)
  • asind — sine inverse, results in degree
  • asinh — hyperbolic sine inverse
  • atan — 2-quadrant and 4-quadrant inverse tangent
  • atand — 2-quadrant and 4-quadrant element-wise inverse tangent, result in degree
  • atanh — hyperbolic tangent inverse
  • cos — cosine function
  • cosd — element-wise cosine function, argument in degree
  • cosh — hyperbolic cosine
  • cotd — element-wise cotangent function, argument in degree
  • cotg — cotangent
  • coth — hyperbolic cotangent
  • csc — сomputes the element-wise cosecant of the argument
  • cscd — сomputes the element-wise cosecant of the argument given in degree
  • csch — Computes the element-wise hyperbolic cosecant of the argument.
  • csgn — returns the sign of a vector of real of complex values
  • sec — computes the element-wise secant of the argument
  • secd — computes the element-wise secant of the argument given in degree
  • sech — computes the element-wise hyperbolic secant of the argument
  • sin — sine function
  • sinc — sinc function
  • sind — sine function, argument in degree.
  • sinh — hyperbolic sine
  • tan — tangent
  • tand — tangent, argument in degree.
  • tanh — hyperbolic tangent
• &, && — Binary AND between integers. Logical AND over/between booleans and numbers
• extraction — matrix and list entry extraction
• ind2sub — linear index to matrix subscript values
• assignation — partial variable assignation
• isempty — check if a variable is an empty matrix or an empty list
• isequalbitwise — comparison of objects (NaN are equal)
• pmodulo — positive euclidian remainder modulo m
• ndims — number of dimensions of an array
• |, || — Binary OR between integers. Logical OR over/between booleans and numbers
• size — size of objects
• sub2ind — matrix subscript values to linear index