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authorNicolas Tobler <nicolas.tobler@ost.ch>2022-08-23 22:33:40 +0200
committerNicolas Tobler <nicolas.tobler@ost.ch>2022-08-23 22:33:40 +0200
commit6ac6dd132a11abd9ec4955cd2e35e22408c982e6 (patch)
tree902445b16ec2f2b9df3b3659b6139926469c267f /buch/papers/kugel/figures/povray/spherecurve.maxima
parentAdded Berechnung der rationalen Funktion (diff)
parentMerge pull request #63 from NaoPross/master (diff)
downloadSeminarSpezielleFunktionen-6ac6dd132a11abd9ec4955cd2e35e22408c982e6.tar.gz
SeminarSpezielleFunktionen-6ac6dd132a11abd9ec4955cd2e35e22408c982e6.zip
Merge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleFunktionen
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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));