Jacobi Elliptic Functions (app) - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Software Libraries ( /forum-10.html)+--- Forum: HP Prime Software Library ( /forum-15.html)+--- Thread: Jacobi Elliptic Functions (app) ( /thread-14508.html) |

Jacobi Elliptic Functions (app) - Eddie W. Shore - 02-15-2020 10:01 AM
Jacobian Elliptic Functions are a set of twelve functions denoted by XY(U, K) where X and Y stands of letters c, s, n, and d. Today's blog post will focus on three of the common Jacobi Elliptic Functions: Sine Amplitude: sn(u,k) Cosine Amplitude: cn(u,k) Delta Amplitude: dn(u,k) Where u is a real number and k is a parameter between -1 and 1 inclusive To determine any of the Jacobian Elliptic Functions, the integral has to be solved for X: U = ∫( 1/√(1 - K^2 * sin^2(T)) dT from T = 0 to T = X) Solving for X will represent the function am(U,K). Then: sn(U,K) = sin(X) cn(U,K) = cos(X) dn(U,K) = √(1 - K^2 * sin^2(X)) Radian angles are used. Download: https://drive.google.com/open?id=1qQ253ri88IyZIwYvKd5kEAIe2Bkgfyl_ In a different approach, I have created a custom app, which is based on the Solver App named Jacobi Elliptic Functions, which you can download on the link above. Symb View: The four equations that are used for this app. Leave all four checked. Num View: This is where you enter U and K. Leave these boxes unchecked. Press or touch (Solve) to get the other values am (X), sn (S), cn (C), and dn (D). Blog post: https://edspi31415.blogspot.com/2020/02/hp-prime-and-ti-84-plus-ce-jacobi.html |