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authorAndreas Müller <andreas.mueller@ost.ch>2022-06-27 20:17:16 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2022-06-27 20:17:16 +0200
commit05d75b0f467b2535db538ecaee461cf0c8b637d1 (patch)
tree3b67ee7b21cc5545cc4917d408eab1093779937d /buch/chapters/110-elliptisch/experiments/agm.maxima
parentfinal agm (diff)
downloadSeminarSpezielleFunktionen-05d75b0f467b2535db538ecaee461cf0c8b637d1.tar.gz
SeminarSpezielleFunktionen-05d75b0f467b2535db538ecaee461cf0c8b637d1.zip
add stuff for elliptic filters
Diffstat (limited to 'buch/chapters/110-elliptisch/experiments/agm.maxima')
-rw-r--r--buch/chapters/110-elliptisch/experiments/agm.maxima26
1 files changed, 0 insertions, 26 deletions
diff --git a/buch/chapters/110-elliptisch/experiments/agm.maxima b/buch/chapters/110-elliptisch/experiments/agm.maxima
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--- a/buch/chapters/110-elliptisch/experiments/agm.maxima
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@@ -1,26 +0,0 @@
-/*
- * agm.maxima
- *
- * (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
- */
-
-S: 2*a*sin(theta1) / (a+b+(a-b)*sin(theta1)^2);
-
-C2: ratsimp(diff(S, theta1)^2 / (1 - S^2));
-C2: ratsimp(subst(sqrt(1-sin(theta1)^2), cos(theta1), C2));
-C2: ratsimp(subst(S, sin(theta), C2));
-C2: ratsimp(subst(sqrt(1-S^2), cos(theta), C2));
-
-D2: (a^2 * cos(theta)^2 + b^2 * sin(theta)^2)
- /
- (a1^2 * cos(theta1)^2 + b1^2 * sin(theta1)^2);
-D2: subst((a+b)/2, a1, D2);
-D2: subst(sqrt(a*b), b1, D2);
-D2: ratsimp(subst(1-S^2, cos(theta)^2, D2));
-D2: ratsimp(subst(S, sin(theta), D2));
-D2: ratsimp(subst(1-sin(theta1)^2, cos(theta1)^2, D2));
-
-Q: D2/C2;
-Q: ratsimp(subst(x, sin(theta1), Q));
-
-Q: ratsimp(expand(ratsimp(Q)));