Jacobi Elliptic Function dn(u,k)
Calculates the Jacobi elliptic function dn(u,k).
| \(\normalsize Jacobi\ elliptic\ function\ dn(u,k)\\ (1)\ dn(u,k)=\sqrt{1-k^2 \sin^2(am(u,k))}\\ (2)\ am(u,k)=\phi=F^{-1}(u,k)\\ \hspace{25px}u=F(\phi,k)={\large\int_{\small 0}^{\phi}\frac{d\theta}{\sqrt{1-k^2 \sin^2\theta}}}\\ (3)\ k^2sn^2(u,k)+dn^2(u,k)=1\\\) |
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