📄 mupq.m
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function val = mupq(F, p, q, Center)%------------------------------------------------------------------------------%% This function computes the central moments mu_{pq} of the gridfunction F% (seen as a density distribution).%% F = input gridfunction (discrete density distribution).%% p, q = input, order of the central moment (p in x-dir, q in y-dir).%% Center = input (optional argument), center of mass%% Note: calls mupq(F,1,0) and mupq(F,0,1) should result into zero (apart from% rounding error).%% See also m00, m01, m10%% Design and implementation by:% Dr. Paul M. de Zeeuw <Paul.de.Zeeuw@cwi.nl> http://homepages.cwi.nl/~pauldz/% Last Revision: November 27, 2000.% Copyright 2000 Stichting CWI, Amsterdam%------------------------------------------------------------------------------if nargin == 4 c = Center; o=[0 0]; if ~all(size(o) == size(Center)) error(' mupq - unexpected dimensions of Center ') else clear o; endelseif nargin == 3 c = masscenter(F);else error(' mupq - number of arguments should be either 3 or 4 ')end[hx, hy] = gridfdims(F);val = sum(sum( xcpowp(F, p, c(1)) ... .*ycpowp(F, q, c(2)).*F ))*(hx*hy);%------------------------------------------------------------------------------
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