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{{confusing|date=March 2009}}
'''Gradient Pattern Analysis''' (GPA)<ref name=rosa2000>Rosa, R.R., J. Pontes, C. I. Christov, F. M. Ramos, C. Rodrigues Neto, E. L. Rempel, D. Walgraef, ''Physica A'' '''283''', 156 (2000).</ref> is a geometric computing method for characterizing [[symmetry breaking]] of an ensemble of asymmetric vectors regularly distributed in a square lattice. Usually, the lattice of vectors represent the first-order gradient of a scalar field, here an ''M x M'' square amplitude matrix. An important property of the gradient representation is the following: A given ''M x M'' matrix where all amplitudes are different results in an ''M x M'' gradient lattice containing <math>N_{V} = M^2</math> asymmetric vectors. As each vector can be characterized by its norm and phase, variations in the <math>M^2</math> amplitudes can modify the respective <math>M^2</math> gradient pattern.
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* Rosa, R.R., M. P. M. A. Baroni, G. T. Zaniboni, A. Ferreira da Silva, L. S. Roman, J. Pontes and M. J. A. Bolzan, ''Physica A'' '''386''', 666 (2007).
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