Mathematical analysis

More flexible sorting and multiplicity of roots of a polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for more flexible sorting and multiplicity of roots of a polynomial. Imagine a function that can pair the Complex Conjugate Roots of a Polynomial, and also tell us how many Roots are Real, and how many are Complex ; imagine further, that this function should also be able to give us the multiplicity of the roots ; and imagine further, that this function should be able to do all this even if not all the Complex Roots of the Polynomial are Conjugate Pairs.

Gaussian curve fit in matlab

The following Matlab project contains the source code and Matlab examples used for gaussian curve fit. [sigma,mu,A]=mygaussfit(x,y) [sigma,mu,A]=mygaussfit(x,y,h) this function is doing fit to the function y=A * exp( -(x-mu)^2 / (2*sigma^2) ) the fitting is been done by a polyfit the lan of the data.

Integer order 1d gaussian function in matlab

The following Matlab project contains the source code and Matlab examples used for integer order 1d gaussian function. Computes the Gaussian function in 1D: exp(-log(2)*(2*(x-x0)./FWHM).^(2*floor(abs(order)))); Where: x = Co-ordinate x0 = Centre of function FWHM = Full Width Half Max of the function order = Gaussian order Normal Gaussian is of order 1. Note that FWHM = (1/e Half Width)/sqrt(2*log(2)) log is the natural log.

Simplifies partial fraction expansion and outputs a single, easy-to-read function, rather than resid in matlab

The following Matlab project contains the source code and Matlab examples used for simplifies partial fraction expansion and outputs a single, easy-to-read function, rather than resid . This function simplifies partial fraction expansion and outputs a single, easy-to-read function, rather than residue. To use this program enter the following in the command window:     syms z     g = (z^2-9)/(z^2-1);     zhelper(g);

Digitfd generates random sample from the fiducial distribution of the parameters mu and sigma based in matlab

The following Matlab project contains the source code and Matlab examples used for digitfd generates random sample from the fiducial distribution of the parameters mu and sigma based . DigitFD generates random sample from the fiducial distribution of the parameters mu and sigma [of the unobservable normal distribution], based on the (digitized) measurements from instrument with limited, however known resolution.

General mathieu functions with arbitrary parameters v1.0 in matlab

The following Matlab project contains the source code and Matlab examples used for general mathieu functions with arbitrary parameters v1.0. These routines are calculation routines for Mathieu functions with arbitrary parameters (positive, Negative and Complex) The package includes the following subroutines: fcoef1---Compute the expanded coefficients of Series dbesselj----Compute the derivatives of Bessel functions; dbessely----Compute the derivatives of Bessel function of second kind; G_mathieuq----Compute the angular mathieu functions (parameter q is vector);

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