Mathematics > Elementary Math

130 functions in MATLAB › Mathematics > Elementary Math.

Complex Numbers

`abs`	Absolute value of real numbers and magnitude of complex numbers.
`angle`	Phase angle of complex numbers.
`complex`	Creates a complex array from real and imaginary parts.
`conj`	Complex conjugate of each element.
`cplxpair`	Sorts complex numbers into conjugate pairs.
`i`	Imaginary unit, the square root of -1.
`imag`	Imaginary part of a complex number.
`j`	Imaginary unit, equivalent to i.
`real`	Real part of a complex number.
`sign`	Sign of each element: -1, 0 or 1.
`unwrap`	Removes jumps of more than pi in a phase sequence by adding multiples of 2*pi.

Trigonometry

`acos`	Inverse cosine of each element, with the result in radians.
`acosd`	Inverse cosine of each element, with the result in degrees.
`acosh`	Inverse hyperbolic cosine of each element, with the result in radians.
`acot`	Inverse cotangent of each element, with the result in radians.
`acotd`	Inverse cotangent of each element, with the result in degrees.
`acoth`	Inverse hyperbolic cotangent of each element.
`acsc`	Inverse cosecant of each element, with the result in radians.
`acscd`	Inverse cosecant of each element, with the result in degrees.
`acsch`	Inverse hyperbolic cosecant of each element.
`asec`	Inverse secant of each element, with the result in radians.
`asecd`	Inverse secant of each element, with the result in degrees.
`asech`	Inverse hyperbolic secant of each element.
`asin`	Inverse sine of each element, with the result in radians.
`asind`	Inverse sine of each element, with the result in degrees.
`asinh`	Inverse hyperbolic sine of each element.
`atan`	Inverse tangent of each element, with the result in radians.
`atan2`	Four-quadrant inverse tangent.
`atan2d`	Four-quadrant inverse tangent, with the result in degrees.
`atand`	Inverse tangent of each element, with the result in degrees.
`atanh`	Inverse hyperbolic tangent of each element.
`cart2pol`	Converts Cartesian coordinates to polar or cylindrical.
`cart2sph`	Converts Cartesian coordinates to spherical coordinates.
`cos`	Cosine of an angle given in radians.
`cosd`	Cosine of an angle given in degrees.
`cosh`	Hyperbolic cosine of each element.
`cospi`	Accurate cosine of X times pi.
`cot`	Cotangent of an angle given in radians.
`cotd`	Cotangent of an angle given in degrees.
`coth`	Hyperbolic cotangent of each element.
`csc`	Cosecant of an angle given in radians.
`cscd`	Cosecant of an angle given in degrees.
`csch`	Hyperbolic cosecant of each element.
`deg2rad`	Converts angles from degrees to radians.
`hypot`	Square root of the sum of squares, without overflow.
`pol2cart`	Converts polar or cylindrical coordinates to Cartesian.
`rad2deg`	Converts angles from radians to degrees.
`sec`	Secant of an angle in radians, 1/cos(x).
`secd`	Secant of an angle in degrees.
`sech`	Hyperbolic secant, 1/cosh(x).
`sin`	Sine of an angle in radians.
`sind`	Sine of an angle in degrees.
`sinh`	Hyperbolic sine.
`sinpi`	Sine of pi times x, exact at integer and half-integer multiples.
`sph2cart`	Converts spherical coordinates to Cartesian.
`tan`	Tangent of an angle in radians.
`tand`	Tangent of an angle in degrees.
`tanh`	Hyperbolic tangent.

Special Functions

`airy`	Airy functions and their derivatives.
`besselh`	Bessel function of the third kind (Hankel function).
`besseli`	Modified Bessel function of the first kind.
`besselj`	Bessel function of the first kind.
`besselk`	Modified Bessel function of the second kind.
`bessely`	Bessel function of the second kind.
`beta`	Beta function of two arguments.
`betainc`	Regularized incomplete beta function.
`betaincinv`	Inverse of the regularized incomplete beta function.
`betaln`	Natural logarithm of the beta function.
`ellipj`	Jacobi elliptic functions sn, cn and dn.
`ellipke`	Complete elliptic integrals of the first and second kind.
`erf`	Error function of real values.
`erfc`	Complementary error function.
`erfcinv`	Inverse of the complementary error function.
`erfcx`	Scaled complementary error function, exp(x^2) times erfc(x).
`erfinv`	Inverse error function.
`expint`	Exponential integral E1(x).
`gamma`	Gamma function, the extension of the factorial to real numbers.
`gammainc`	Regularized incomplete gamma function.
`gammaincinv`	Inverse of the regularized incomplete gamma function.
`gammaln`	Natural logarithm of the gamma function.
`legendre`	Associated Legendre functions of degree n.
`psi`	Digamma function and its higher derivatives (polygamma).

Constants and Test Matrices

`compan`	Companion matrix of a polynomial.
`gallery`	Collection of named test matrices.
`hadamard`	Hadamard matrix of +1 and -1 entries.
`hankel`	Hankel matrix, constant along each anti-diagonal.
`hilb`	Hilbert matrix, with entries 1/(i+j-1).
`invhilb`	Exact inverse of the Hilbert matrix.
`magic`	Magic square: equal row, column and diagonal sums.
`pascal`	Pascal matrix built from binomial coefficients.
`pi`	The constant pi, the ratio of a circle's circumference to its diameter.
`rosser`	Rosser matrix, a classic eigenvalue test matrix.
`toeplitz`	Builds a Toeplitz matrix, with constant values along each diagonal.
`vander`	Vandermonde matrix whose columns are decreasing powers of the input vector.
`wilkinson`	Wilkinson's symmetric tridiagonal eigenvalue test matrix of order n.

Polynomials

`conv`	Convolution of two vectors, or polynomial multiplication.
`deconv`	Deconvolution and polynomial division.
`poly`	Coefficients of the polynomial with given roots, or the characteristic polynomial of a matrix.
`polyder`	Derivative of a polynomial, or of a product or quotient of polynomials.
`polyeig`	Eigenvalues of a polynomial eigenvalue problem.
`polyfit`	Least-squares polynomial fit to data.
`polyint`	Integral of a polynomial.
`polyval`	Evaluates a polynomial at given points.
`polyvalm`	Evaluates a polynomial with a square matrix as the variable.
`residue`	Partial fraction expansion of a ratio of polynomials.
`roots`	Roots of a polynomial.

Exponents and Logarithms

`exp`	Exponential function e^x, element by element.
`expm1`	Accurate exp(x) - 1 for small x.
`log`	Natural logarithm, element by element.
`log10`	Common (base 10) logarithm.
`log1p`	Accurate log(1 + x) for small x.
`log2`	Base-2 logarithm.
`nextpow2`	Exponent of the next power of two at or above abs(x).
`nthroot`	Real n-th root of a real number.
`pow2`	Power of two, or a number scaled by a power of two.
`reallog`	Natural logarithm that errors on complex results.
`realpow`	Element-wise power that errors on complex results.
`realsqrt`	Square root that errors on complex results.
`sqrt`	Square root, element by element.

Discrete Math

`factor`	Prime factorization of a positive integer.
`factorial`	Factorial n! of nonnegative integers.
`gcd`	Greatest common divisor of integers.
`isprime`	Tests which elements are prime numbers.
`lcm`	Least common multiple of integers.
`matchpairs`	Optimal assignment of rows to columns of a cost matrix.
`nchoosek`	Binomial coefficient: the number of ways to choose k of n items.
`perms`	All permutations of the elements of a vector.
`primes`	List of all prime numbers up to a limit.
`rat`	Rational approximation of a number by continued fractions.
`rats`	Rational output: a number formatted as a fraction in a string.