Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Mathematical Functions

Common Functions

`abs`	Computes the absolute values of the elements of an array.
`ceil`	Returns the smallest integer value greater or equal to each element of an array.
`floor`	floor gives the next smaller integer value of the elements of an array.
`rint`	rint gives the next nearest integer value of the elements of an array.
`sqrt`	sqrt computes the square root of the elements of an array.

Trigonometric Functions

`acos`	Returns the arccosine of the elements of an array.
`acosh`	Returns the inverse hyperbolic cosine of the elements of an array.
`asin`	Returns the arcsine of the elements of an array.
`asinh`	Returns the inverse hyperbolic sine of the elements of an array.
`atan`	Returns the arctangent in radian of the elements of an array.
`atan2`	Returns the angle in radian between the positive part of the x-axis and the line with origin in (0,0) which contains the point (x, y).
`atanh`	Returns the inverse hyperbolic tangent of the elements of an array.
`cos`	Returns the cosine in radian of the elements of an array.
`cosh`	Returns the hyperbolic cosine of the elements of an array.
`sin`	Returns the sine in radian of the elements of an array.
`sinh`	Returns the hyperbolic sinus of the elements of an array.
`tan`	Returns the tangent in radian of the elements of an array.
`tanh`	Returns the hyperbolic tangent of the elements of an array.

Fourier and Wavelet transforms

`dwt`	dwt computes the Discrete Wavelet Transformation of a vector.
`fft`	fft computes the Fast Fourier Transformation of a complex vector.
`fwt`	fwt computes the Fast Wavelet Transformation of a vector.
`fwt2`	The algorithm fwt2 is designed for 2 dimensional wavelet transformation. It mainly corresponds to dwt for the one dimensional case. If wished it works with the tensor product of one dimensional wavelet transforms.
`fwtin`	fwtin computes the Fast Wavelet Transformation of all circular shifts of the vector x.
`fwtinshift`	fwtinshift retrieves the wavelet coefficients for a given shift of the Fast Wavelet Transformation of all circular shifts (fwtin) of a vector.
`invdwt`	invdwt computes the inverse Discrete Wavelet Transformation of a vector.
`invfft`	invfft computes the Inverse Fast Fourier Transformation of a complex vector.
`invfwt`	invfwt computes the Fast Wavelet Transformation of a vector.
`invfwt2`	The algorithm invfwt2 is designed for 2 dimensional inverse wavelet transformation. The wavelet coefficients are stored in the matrix c.
`invfwtin`	fwtin computes the inverse Fast Wavelet Transformation of all circular shifts from ti.

Exponential and Logarithmic Functions

`exp`	exp produces the exponentation to base e=2.7181... of the elements in an array.
`expm1`	expm1 computes e^(x-1) accurately even for tiny x.
`lgamma`	lgamma computes logarithm of the gamma function.
`log`	log returns the natural logarithm of the elements of an array.
`log10`	log10 returns the logarithm base 10 of the elements of an array.
`log1p`	log1p computes the natural logarithm of (1+x) accurately even for tiny x.

Integration

simpsonint simpsonint computes the integral of a given realvalued function about a d-dimensional cube [a_1,b_1] x ... x [a_d,b_d]. The method of simpson is used.

Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z