derivative operator in a sentence

Examples

1. Multivariate functions can be handled with the same efficiency and mechanisms as univariate functions by adopting a directional derivative operator.
2. In order to rectify this we define a new derivative operator such that the derivative of \ Phi again transforms identically with \ Phi
3. The derivative operators, and hence the energy and 3-momentum operators, are also non-invariant and change under Lorentz transformations.
4. In the case of the formal derivative, there are now separate partial derivative operators, which differentiate with respect to each of the indeterminates.
5. If, however, one defines carefully the domain and range of the derivative operator, one may show that it is a closed operator.
6. In computer vision and image processing, the notion of scale space representation and Gaussian derivative operators is regarded as a canonical multi-scale representation.
7. The relativistic version of this equation can be obtained by replacing the derivative operator with the D'Alembertian, similarly to the Klein Gordon equation.
8. In bra ket notation, the derivative operator can act on the right operand as the regular derivative or on the left as the negative derivative.
9. The operator in brackets ( in the final expression ) is also called the total derivative operator ( with respect to " t " ).
10. Some authors prefer to use capital D to indicate the total derivative operator, as in " D " / " Dt ".