differential polynomial meaning in Hindi

Examples

1. By abuse of language, this terminology will be applied both to the original system and the ideal of differential polynomials generated by the left hand sides.
2. Given a system of linear differential polynomials S \ equiv \ { e _ 1, e _ 2, \ ldots \ }, the Janet basis corresponding to S is returned.
3. The left hand sides of such systems of equations may be considered as differential polynomials of a ring, and Janet's normal form as a special basis of the ideal that they generate.
4. An extension " F " ?" " K " of differential fields is called a Picard Vessiot extension if all constants are in " F " and " K " can be generated by adjoining the solutions of a homogeneous linear ordinary differential polynomial.