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authorLordMcFungus <mceagle117@gmail.com>2022-07-22 21:28:45 +0200
committerGitHub <noreply@github.com>2022-07-22 21:28:45 +0200
commit23f17598c1742c70f442b94044a20aa821022c5a (patch)
treea945540ee6a4e86b37df2f01e3a91584b4797c4f /buch/papers/kugel/images/spherecurve.maxima
parentMerge pull request #2 from AndreasFMueller/master (diff)
parentMerge pull request #25 from JODBaer/master (diff)
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Merge pull request #3 from AndreasFMueller/master
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diff --git a/buch/papers/kugel/images/spherecurve.maxima b/buch/papers/kugel/images/spherecurve.maxima
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+/*
+ * spherecurv.maxima
+ *
+ * (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+ */
+f: exp(-a * sin(theta)^2);
+
+g: ratsimp(diff(sin(theta) * diff(f, theta), theta)/sin(theta));
+g: subst(z, cos(theta), g);
+g: subst(sqrt(1-z^2), sin(theta), g);
+ratsimp(g);
+
+f: ratsimp(subst(sqrt(1-z^2), sin(theta), f));