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authorFranz Zotter <fzotter@users.sourceforge.net>2009-01-12 19:29:07 +0000
committerFranz Zotter <fzotter@users.sourceforge.net>2009-01-12 19:29:07 +0000
commit96987170c95a18b779cd2bfc316d88d754db4b8e (patch)
tree7701358af69379e8e6c53dbc8db1562093247a97 /doc
parent680a406a8bed106955e555436c0e2c6291b05911 (diff)
help file for mtx_sh
svn path=/trunk/externals/iem/iemmatrix/; revision=10521
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+#N canvas 61 39 921 503 10;
+#X msg 96 97 matrix 2 1 0 0;
+#X obj 184 163 mtx_rand;
+#X msg 187 141 2 10;
+#X obj 96 197 mtx_print;
+#X obj 96 157 mtx_sh 1;
+#X text 95 54 [mtx_sh] spherical harmonics evaluated at a set of points
+given in phi and theta coordinates.;
+#X text 306 117 [mtx_sh] requires a numerical creation argument nmax
+specifyiing the maximum order 0<=n<=nmax.;
+#X text 305 160 for an L points 2xL input matrix \, [mtx_sh] evaluates
+the (nmax+2)^2 spherical harmonics at L points and delivers an Lx(nmax+2)^2
+output matrix.;
+#X text 527 347 Franz Zotter \, 2009;
+#X text 150 226 for -n<=m<=n:;
+#X text 188 258 Y_n^m(phi \, theta) = N_n^m * sin(m*phi) * P_n^m(cos(theta))
+;
+#X text 188 242 Y_n^m(phi \, theta) = N_n^m * cos(m*phi) * P_n^m(cos(theta))
+;
+#X text 641 241 for m>=0;
+#X text 640 257 for m< 0;
+#X text 147 291 The order of the harmonics in the output columns is
+specified by the linear index k=n^2+n+m+1.;
+#X connect 0 0 4 0;
+#X connect 1 0 4 0;
+#X connect 2 0 1 0;
+#X connect 4 0 3 0;