jacobian elliptic function sentence in Hindi

Examples

1. So there are twelve Jacobian elliptic functions.
2. In the analytic theory, there are four fundamental theta functions in the theory of Jacobian elliptic functions.
3. In explicit form they are expressible in terms of Jacobian elliptic functions which are periodic functions ( effectively generalisations of trigonometrical functions ).
4. My immediate interests are in special functions, particularly elliptic functions and elliptic integrals, even more specifically, integration in terms of Jacobian elliptic functions.
5. The twelve Jacobian elliptic functions are then pq, where each of p and q is a different one of the letters s, c, d, n.
6. The configurations correspondingly responsible for higher, i . e . excited, states are periodic instantons defined on a circle of Euclidean time which in explicit form are expressed in terms of Jacobian elliptic functions ( the generalization of trigonometric functions ).
7. By starting with the Weierstrass p-function and associating with it a group of doubly periodic functions with two simple poles, he was able to give a simple derivation of the Jacobian elliptic functions, as well as modifying the existing notation to provide a more systematic approach to the subject.