Elementary Functions

• Bitwise operations
  • bitand — bitwise AND
  • bitcmp — bitwise complement
  • bitget — bit at specified position
  • bitor — bitwise OR
  • bitset — set bit at specified position
  • bitxor — bitwise XOR
  • isequalbitwise — bitwise comparison of variables
• Complex
  • complex — Create a complex number.
  • conj — Complex conjugate
  • imag — imaginary part
  • imult — multiplication by i the imaginary unitary
  • isreal — check if a variable has real or complex entries
  • real — real part
• Discrete mathematics
  • factor — factor function
  • factorial — The factorial function
  • gcd — Greatest Common Divisor
  • lcm — least common multiple
  • perms — all permutations of vector components
  • primes — primes function
  • rat — Floating point rational approximation
• Elementary matrices
  • diag — diagonal including or extracting
  • eye — identity matrix
  • ind2sub — linear index to matrix subscript values
  • linspace — linearly spaced vector
  • logspace — logarithmically spaced vector
  • meshgrid — create matrices or 3-D arrays
  • ndgrid — arrays for multidimensional function evaluation on grid
  • ones — matrix made of ones
  • rand — Random numbers
  • squarewave — generates a square wave with period 2*%pi
  • sub2ind — matrix subscript values to linear index
  • testmatrix — generate special matrices, such as Hilbert, Franck
  • toeplitz — Toeplitz matrix
  • 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
  • polar — polar form
  • sqrt — square root
  • sqrtm — matrix square root
• Floating point
  • ceil — round up
  • clean — cleans matrices (round to zero small entries)
  • double — conversion from integer to double precision representation
  • fix — round towards zero
  • floor — round down
  • format — number printing and display format
  • frexp — dissect floating-point numbers into base 2 exponent and mantissa
  • ieee — set floating point exception mode
  • int — round towards zero
  • isinf — check for infinite entries
  • 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 manipulation
  • flipdim — flip x block components along a given dimension
  • matrix — reshape a vector or a matrix to a different size matrix
  • permute — permute the dimensions of an array
  • pertrans — Transposition with reference to the 2nd diagonal
  • repmat — Replicate and tile an array
  • 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
  • cross — vector cross product
  • cumprod — cumulative product of array elements
  • cumsum — cumulative sum of array elements
  • kron — Kronecker product (.*.)
  • max — maximum
  • min — minimum
  • norm — matrix norm
  • prod — product of array elements
  • signm — matrix signum function
  • sum — sum of array elements
  • tril — lower triangular part of matrix
  • triu — upper triangle
• 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
  • lex_sort — lexicographic matrix rows sorting
  • vectorfind — finds in a matrix rows or columns matching a vector
• Set operations
  • intersect — returns the vector of common values of two vectors
  • members — count (and locate) in an array each element or row or column of another array
  • setdiff — returns components of a vector which do not belong to another one
  • union — extract union components of a vector
  • unique — extract unique components of a vector or matrices
• Signal processing
  • bloc2exp — Conversion of a block-diagram to its symbolic expression
  • 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
• Symbolic
  • addf — symbolic addition
  • cmb_lin — symbolic linear combination
  • ldivf — left symbolic division
  • mulf — symbolic multiplication
  • rdivf — right symbolic division
  • solve — symbolic linear system solver
  • subf — symbolic subtraction
  • trianfml — symbolic triangularization
  • trisolve — symbolic linear system solver
• Trigonometry
  • acos — element wise cosine inverse (radians)
  • acosd — element wise cosine inverse, result in degree.
  • acosh — hyperbolic cosine inverse
  • acoshm — matrix hyperbolic inverse cosine
  • acosm — matrix wise cosine inverse
  • acot — computes the element-wise inverse cotangeant of the argument.
  • acotd — computes the element-wise inverse cotangeant of the argument, result in degree.
  • acoth — element wise hyperbolic cotangeant 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
  • asinhm — matrix hyperbolic inverse sine
  • asinm — matrix wise 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
  • atanhm — matrix hyperbolic tangent inverse
  • atanm — square matrix tangent inverse
  • cos — cosine function
  • cosd — element-wise cosine function, argument in degree
  • cosh — hyperbolic cosine
  • coshm — matrix hyperbolic cosine
  • cosm — matrix cosine function
  • cotd — element-wise cotangent function, argument in degree
  • cotg — cotangent
  • coth — hyperbolic cotangent
  • cothm — matrix 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
  • sinhm — matrix hyperbolic sine
  • sinm — matrix sine function
  • tan — tangent
  • tand — tangent, argument in degree.
  • tanh — hyperbolic tangent
  • tanhm — matrix hyperbolic tangent
  • tanm — matrix tangent
• and — logical AND of the elements of an array
• & — logical AND operator
• cat — concatenate several arrays
• cell2mat — converts a cell array into a matrix
• cellstr — converts strings vector (or strings matrix) into a cell array of strings
• iscolumn — check if a variable is a column
• isempty — check if a variable is an empty matrix or an empty list
• isequal — objects comparison
• ismatrix — check if a variable is a matrix
• 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
• lstsize — list, tlist, mlist numbers of entries
• pmodulo — positive euclidian remainder modulo m
• ndims — number of dimensions of an array
• nthroot — Real nth root of real numbers
• num2cell — converts an array into a cell array
• or — logical OR of the elements of an array
• | — logical OR operator
• sign — signum function
• size — size of objects
• unwrap — unwrap a Y(x) profile or a Z(x,y) surface. Unfold a Y(x) profile