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

+ `Complex`_

    + `complex`_ Create a complex number.
    + `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`_

    + `binomial`_ binomial distribution probabilities
    + `factor`_ factor function
    + `factorial`_ The factorial function
    + `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
    + `sub2ind`_ matrix subscript values to linear index
    + `zeros`_ matrix made of zeros

+ `Exponential`_

    + `exp`_ element-wise 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

+ `Floating point`_

    + `ceil`_ round up
    + `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

+ `Integer representation`_

    + `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 components along a given dimension
    + `matrix`_ reshape a vector or a matrix to a different size matrix
    + `permute`_ permute the dimensions of an array
    + `repmat`_ Replicate and tile an array
    + `resize_matrix`_ create a new matrix with a different size

+ `Matrix operations`_

    + `cumprod`_ cumulative product of array elements
    + `cumsum`_ cumulative sum of array elements
    + `kron`_ Kronecker product (.*.)
    + `prod`_ product of array elements
    + `sum`_ sum of array elements
    + `tril`_ lower triangular part of matrix
    + `triu`_ upper triangle

+ `Search and sort`_

    + `dsearch`_ search in ordered sets
    + `gsort`_ sorting by quick sort agorithm
    + `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
    + `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`_ block diagonal system connection
    + `syslin`_ linear system definition
    + `trfmod`_ poles and zeros display

+ `Symbolic`_

    + `solve`_ symbolic linear system solver
    + `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
    + `conj`_ conjugate
    + `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`_ Computes the element-wise cosecant of the argument.
    + `cscd`_ Computes 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`_ Compute the element-wise secant of the argument.
    + `secd`_ Compute the element-wise secant of the argument given in
      degree.
    + `sech`_ Compute 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

+ `abs`_ absolute value, magnitude
+ `amell`_ Jacobi's am function
+ `and`_ logical AND of the elements of an array
+ `and_op`_ 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
+ `char`_ converts in a character array
+ `delip`_ complete and incomplete elliptic integral of first kind
+ `diff`_ Difference and discrete derivative
+ `isdef`_ checks variable existence
+ `isempty`_ check if a variable is an empty matrix or an empty list
+ `isequal`_ objects comparison
+ `isequalbitwise`_ bitwise comparison of variables
+ `isvector`_ check if a variable is a vector
+ `lstsize`_ list, tlist, mlist numbers of entries
+ `max`_ maximum
+ `min`_ minimum
+ `modulo`_ positive arithmetic remainder modulo m
+ `ndims`_ number of dimensions of an array
+ `norm`_ matrix norm
+ `nthroot`_ Real nth root of real numbers
+ `or`_ logical OR of the elements of an array
+ `or_op`_ logical OR operator
+ `percenteps`_ epsilon (floating-point relative accuracy)
+ `percenti`_ imaginary unit
+ `percentinf`_ infinity
+ `percentnan`_ not-a-number
+ `percentpi`_ ratio of circle's circumference to its diameter
+ `pertrans`_ simultaneous permutation and transposition
+ `sign`_ signum function
+ `signm`_ matrix signum function
+ `size`_ size of objects
+ `sqrt`_ square root
+ `sqrtm`_ matrix square root
+ `squarewave`_ generates a square wave with period 2*%pi
+ `toeplitz`_ Toeplitz matrix


.. _cumsum: cumsum.html
.. _sysconv: sysconv.html
.. _frexp: frexp.html
.. _secd: secd.html
.. _sqrt: sqrt.html
.. _Search and sort: section_204db4f8889865d295181d894fd9fedd.html
.. _lstsize: lstsize.html
.. _cat: cat.html
.. _bitget: bitget.html
.. _and_op: and_op.html
.. _solve: solve.html
.. _toeplitz: toeplitz.html
.. _exp: exp.html
.. _rand: rand.html
.. _oct2dec: oct2dec.html
.. _sinh: sinh.html
.. _acoth: acoth.html
.. _cotd: cotd.html
.. _tan: tan.html
.. _sum: sum.html
.. _acosd: acosd.html
.. _sinc: sinc.html
.. _ndims: ndims.html
.. _sysdiag: sysdiag.html
.. _Signal processing: section_b88e71819a1021a194b266f5de3950d4.html
.. _nextpow2: nextpow2.html
.. _Matrix manipulation: section_54cbd01fae0b5001ef7c0949694ab148.html
.. _format: format.html
.. _dec2base: dec2base.html
.. _lex_sort: lex_sort.html
.. _and: and.html
.. _isvector: isvector.html
.. _log1p: log1p.html
.. _norm: norm.html
.. _sinhm: sinhm.html
.. _sind: sind.html
.. _primes: primes.html
.. _binomial: binomial.html
.. _dec2hex: dec2hex.html
.. _tand: tand.html
.. _percentinf: percentinf.html
.. _int: int.html
.. _bloc2exp: bloc2exp.html
.. _ieee: ieee.html
.. _pen2ea: pen2ea.html
.. _sub2ind: sub2ind.html
.. _tanh: tanh.html
.. _cotg: cotg.html
.. _percentnan: percentnan.html
.. _imag: imag.html
.. _percenteps: percenteps.html
.. _isequalbitwise: isequalbitwise.html
.. _ones: ones.html
.. _log10: log10.html
.. _cothm: cothm.html
.. _double: double.html
.. _Trigonometry: section_337b4e6dd32fd9593fba54eb3f65dbcc.html
.. _bitxor: bitxor.html
.. _cosh: cosh.html
.. _hex2dec: hex2dec.html
.. _cell2mat: cell2mat.html
.. _real: real.html
.. _asinm: asinm.html
.. _signm: signm.html
.. _vectorfind: vectorfind.html
.. _conj: conj.html
.. _coshm: coshm.html
.. _permute: permute.html
.. _unique: unique.html
.. _coth: coth.html
.. _bitset: bitset.html
.. _union: union.html
.. _acsch: acsch.html
.. _acoshm: acoshm.html
.. _eye: eye.html
.. _cscd: cscd.html
.. _Matrix operations: section_32d872e8abf1f829c680ec61ddaa94da.html
.. _acotd: acotd.html
.. _acscd: acscd.html
.. _log: log.html
.. _percenti: percenti.html
.. _bloc2ss: bloc2ss.html
.. _atanh: atanh.html
.. _cosd: cosd.html
.. _acos: acos.html
.. _sech: sech.html
.. _dec2oct: dec2oct.html
.. _setdiff: setdiff.html
.. _or: or.html
.. _char: char.html
.. _complex: complex.html
.. _sqrtm: sqrtm.html
.. _resize_matrix: resize_matrix.html
.. _prod: prod.html
.. _matrix: matrix.html
.. _isnan: isnan.html
.. _repmat: repmat.html
.. _tril: tril.html
.. _number_properties: number_properties.html
.. _syslin: syslin.html
.. _triu: triu.html
.. _ssrand: ssrand.html
.. _abs: abs.html
.. _factor: factor.html
.. _cellstr: cellstr.html
.. _dsearch: dsearch.html
.. _Discrete mathematics: section_6532542a2a1a85dd4cb9086506069b58.html
.. _isequal: isequal.html
.. _sec: sec.html
.. _cos: cos.html
.. _trfmod: trfmod.html
.. _bitcmp: bitcmp.html
.. _intersect: intersect.html
.. _factorial: factorial.html
.. _sign: sign.html
.. _kron: kron.html
.. _imult: imult.html
.. _round: round.html
.. _atand: atand.html
.. _bin2dec: bin2dec.html
.. _linspace: linspace.html
.. _logspace: logspace.html
.. _acsc: acsc.html
.. _Exponential: section_e7efa1a1090c20cd27637c80116d1cd2.html
.. _Floating point: section_5cc62125242586eb1e2ed40fd313124c.html
.. _atanhm: atanhm.html
.. _Integer representation: section_ffdc7dbc0642f0a1572e75d33e3610e7.html
.. _amell: amell.html
.. _tanhm: tanhm.html
.. _tanm: tanm.html
.. _csgn: csgn.html
.. _csc: csc.html
.. _nthroot: nthroot.html
.. _isdef: isdef.html
.. _asin: asin.html
.. _trisolve: trisolve.html
.. _gsort: gsort.html
.. _acosh: acosh.html
.. _flipdim: flipdim.html
.. _Symbolic: section_db6d51f8fc20252922e5535b93019793.html
.. _dec2bin: dec2bin.html
.. _modulo: modulo.html
.. _atan: atan.html
.. _asec: asec.html
.. _asech: asech.html
.. _sinm: sinm.html
.. _log2: log2.html
.. _zeros: zeros.html
.. _percentpi: percentpi.html
.. _or_op: or_op.html
.. _pertrans: pertrans.html
.. _ndgrid: ndgrid.html
.. _asinh: asinh.html
.. _asecd: asecd.html
.. _bitor: bitor.html
.. _bitand: bitand.html
.. _trianfml: trianfml.html
.. _sin: sin.html
.. _acot: acot.html
.. _Bitwise operations: section_e012f914965cd06d74a865c123ee3b2b.html
.. _cosm: cosm.html
.. _diff: diff.html
.. _max: max.html
.. _fix: fix.html
.. _isreal: isreal.html
.. _meshgrid: meshgrid.html
.. _isempty: isempty.html
.. _min: min.html
.. _floor: floor.html
.. _asind: asind.html
.. _Elementary matrices: section_b6826d9288eae80d3ca4d4f72682e864.html
.. _rat: rat.html
.. _delip: delip.html
.. _csch: csch.html
.. _asinhm: asinhm.html
.. _cumprod: cumprod.html
.. _squarewave: squarewave.html
.. _ind2sub: ind2sub.html
.. _diag: diag.html
.. _perms: perms.html
.. _atanm: atanm.html
.. _nearfloat: nearfloat.html
.. _size: size.html
.. _acosm: acosm.html
.. _Set operations: section_9114e20d8df546cbd9b4311a356cc3ad.html
.. _Complex: section_c2299fae99263e092f87c30f90c4427f.html
.. _ceil: ceil.html
.. _logm: logm.html
.. _base2dec: base2dec.html
.. _isinf: isinf.html