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100644 --- a/doc/sf_and_dist/equations/ellint24.mml +++ b/doc/sf_and_dist/equations/ellint24.mml @@ -27,16 +27,18 @@ - ∏ - - - n - , - φ - , - k - - + + ∏ + + + n + , + φ + , + k + + + = @@ -66,16 +68,18 @@ - ∏ - - - N - , - φ - , - k - - + + ∏ + + + N + , + φ + , + k + + + diff --git a/doc/sf_and_dist/equations/ellint24.png b/doc/sf_and_dist/equations/ellint24.png index dd51a1465..2e8785ab0 100644 Binary files a/doc/sf_and_dist/equations/ellint24.png and b/doc/sf_and_dist/equations/ellint24.png differ diff --git a/doc/sf_and_dist/equations/ellint24.svg b/doc/sf_and_dist/equations/ellint24.svg index b67eda177..409c569d8 100644 --- a/doc/sf_and_dist/equations/ellint24.svg +++ b/doc/sf_and_dist/equations/ellint24.svg @@ -1,2 +1,2 @@ -(1−n)(1−k2n)∏(n,φ,k)=(1−N)(1−k2N)∏(N,φ,k)+k2p2F(φ,k)+tan−1(p22sin2φ?(φ))N=(k2−n)(1−n)p2=−n1−n(k2−n) \ No newline at end of file +(1−n)(1−k2n)∏(n,φ,k)=(1−N)(1−k2N)∏(N,φ,k)+k2p2F(φ,k)+tan−1(p22sin2φ?(φ))N=(k2−n)(1−n)p2=−n1−n(k2−n) \ No newline at end of file diff --git a/doc/sf_and_dist/equations/ellint25.mml b/doc/sf_and_dist/equations/ellint25.mml index 0daaf3d26..eadfab327 100644 --- a/doc/sf_and_dist/equations/ellint25.mml +++ b/doc/sf_and_dist/equations/ellint25.mml @@ -1,15 +1,17 @@ - ∏ - - - n - , - φ - , - k - - + + ∏ + + + n + , + φ + , + k + + + = @@ -19,6 +21,44 @@ R F + + + + cos + 2 + + φ + , + 1 + − + + k + 2 + + + sin + 2 + + φ + , + 1 + + + + + + n + 3 + + sin + + + 3 + + φ + + R + J + cos @@ -41,48 +81,12 @@ φ , - 1 - - - + - - n - 3 - - - sin - 3 - - φ - - R - J - - - - - cos - 2 - - φ - , - 1 - − - - k - 2 - - - sin - 2 - - φ - , 1,1 − n + sin - sin + 2 φ diff --git a/doc/sf_and_dist/equations/ellint25.png b/doc/sf_and_dist/equations/ellint25.png index 4b7b4cb06..b8ff9e701 100644 Binary files a/doc/sf_and_dist/equations/ellint25.png and b/doc/sf_and_dist/equations/ellint25.png differ diff --git a/doc/sf_and_dist/equations/ellint25.svg b/doc/sf_and_dist/equations/ellint25.svg index 07ffe632e..f9d6e75d3 100644 --- a/doc/sf_and_dist/equations/ellint25.svg +++ b/doc/sf_and_dist/equations/ellint25.svg @@ -1,2 +1,2 @@ -∏(n,φ,k)=sinφRF(cos2φ,1−k2sin2φ,1)+n3sin3φRJ(cos2φ,1−k2sin2φ,1,1−nsin2φ) \ No newline at end of file +∏(n,φ,k)=sinφRF(cos2φ,1−k2sin2φ,1)+n3sin3φRJ(cos2φ,1−k2sin2φ,1,1−nsin2φ) \ No newline at end of file diff --git a/doc/sf_and_dist/equations/ellint26.mml b/doc/sf_and_dist/equations/ellint26.mml index c17ae7c08..194e3fa34 100644 --- a/doc/sf_and_dist/equations/ellint26.mml +++ b/doc/sf_and_dist/equations/ellint26.mml @@ -1,13 +1,15 @@ - ∏ - - - n - , - k - - + + ∏ + + + n + , + k + + + = diff --git a/doc/sf_and_dist/equations/ellint26.png b/doc/sf_and_dist/equations/ellint26.png index add60172a..b7aac8823 100644 Binary files a/doc/sf_and_dist/equations/ellint26.png and b/doc/sf_and_dist/equations/ellint26.png differ diff --git a/doc/sf_and_dist/equations/ellint26.svg b/doc/sf_and_dist/equations/ellint26.svg index 5b61745d5..cf7dace3c 100644 --- a/doc/sf_and_dist/equations/ellint26.svg 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