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authorenezerdem <105669082+enezerdem@users.noreply.github.com>2022-05-24 16:19:29 +0200
committerGitHub <noreply@github.com>2022-05-24 16:19:29 +0200
commitef4fdf385e37f9f6bbaba789b75b7e357feb94b0 (patch)
treedda8255a04bb5b72a4b551348947b687905110a5 /buch/papers/kugel/images/spherecurve.maxima
parentMerge pull request #4 from AndreasFMueller/master (diff)
parentbetter color coding (diff)
downloadSeminarSpezielleFunktionen-ef4fdf385e37f9f6bbaba789b75b7e357feb94b0.tar.gz
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Merge pull request #5 from AndreasFMueller/master
update
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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));