jacobian determinant sentence in Hindi

Examples

1. We can also express this compactly using the Jacobian determinant:
2. The Jacobian determinant is occasionally referred to as " the Jacobian ".
3. Furthermore, if the Jacobian determinant at is negative, reverses orientation.
4. Note that the product of all the scale factors is the Jacobian determinant.
5. Such a function admits a Jacobian determinant.
6. The Jacobian determinant at a given point gives important information about the behavior of near that point.
7. We can then form its determinant, known as the "'Jacobian determinant " '.
8. The Jacobian determinant also appears when changing the variables in multiple integrals ( see substitution rule for multiple variables ).
9. For instance, the continuously differentiable function is invertible near a point if the Jacobian determinant at is non-zero.
10. To accommodate for the change of coordinates the magnitude of the Jacobian determinant arises as a multiplicative factor within the integral.