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authorSamuel Niederer <43746162+samnied@users.noreply.github.com>2022-07-24 12:17:00 +0200
committerGitHub <noreply@github.com>2022-07-24 12:17:00 +0200
commitefe7c35759afb5cbae3c1683873c5159be0be09f (patch)
tree84f2e8510132352f9943bddc577ccf32cd46f2dc /buch/papers/kugel/images/spherecurve.maxima
parentadd current work (diff)
parentMerge pull request #26 from p1mueller/master (diff)
downloadSeminarSpezielleFunktionen-efe7c35759afb5cbae3c1683873c5159be0be09f.tar.gz
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Merge branch 'AndreasFMueller:master' into 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));