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| author | Samuel Niederer <43746162+samnied@users.noreply.github.com> | 2022-07-24 12:17:00 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2022-07-24 12:17:00 +0200 |
| commit | efe7c35759afb5cbae3c1683873c5159be0be09f (patch) | |
| tree | 84f2e8510132352f9943bddc577ccf32cd46f2dc /buch/chapters/110-elliptisch/agm/agm.maxima | |
| parent | add current work (diff) | |
| parent | Merge pull request #26 from p1mueller/master (diff) | |
| download | SeminarSpezielleFunktionen-efe7c35759afb5cbae3c1683873c5159be0be09f.tar.gz SeminarSpezielleFunktionen-efe7c35759afb5cbae3c1683873c5159be0be09f.zip | |
Merge branch 'AndreasFMueller:master' into master
Diffstat (limited to '')
| -rw-r--r-- | buch/chapters/110-elliptisch/agm/agm.maxima | 26 |
1 files changed, 26 insertions, 0 deletions
diff --git a/buch/chapters/110-elliptisch/agm/agm.maxima b/buch/chapters/110-elliptisch/agm/agm.maxima new file mode 100644 index 0000000..c7facd4 --- /dev/null +++ b/buch/chapters/110-elliptisch/agm/agm.maxima @@ -0,0 +1,26 @@ +/* + * 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))); |