Convert numeric input to symbolic form usingsym, and find the Jacobi SN elliptic function. For symbolic input whereu = 0或者m = 0或者1,雅可比SNreturns exact symbolic output.

雅可比SN(sym(2),sym(1))

ans = tanh(2)

雅可比SN(sym(2),sym(3))

ans = jacobiSN(2, 3)

For symbolic variables or expressions,雅可比SNreturns the unevaluated function call.

syms x y f = jacobiSN(x,y)

f = jacobiSN(x, y)

f = subs(f, [x y], [3 5])

f = jacobiSN(3, 5)

fVal = double(f)

fVal = 0.0311

fVal = vpa(f)

fVal = 0.031144778155397389598324170696454

Plot the Jacobi SN elliptic function usingfcontour. Setuon the x-axis andmon the y-axis by using the symbolic functionfwith the variable order(u,m). Fill plot contours by settingFilltoon.

symsf(u,m)f(u,m) = jacobiSN(u,m); fcontour(f,'Fill','on') title('Jacobi SN Elliptic Function'）xlabel（'u') ylabel('m')