Sentence examples for orders of derivatives from inspiring English sources

Productively, graphical results at various values of parameters and with different orders of derivatives are depicted.

The result by Schoenberg and Cavaretta gives a sharp Kolmogorov type inequality for arbitrary orders of derivatives (k< r).

The generalization of differential calculus to non-integer orders of derivatives can be traced back to Leibnitz [21].

where M αβ is a polynomial of the derivatives of Ψ with degrees not bigger than |α| and the orders of derivatives of the component of ψ are not bigger than |β|.

Further research should be carried out on the physical interpretation of the orders of derivatives obtained in Eq. (1).

An interesting question concerns whether the existence of linear receptive fields corresponding to other combinations of spatial and spatio-temporal derivatives can be demonstrated, in particular when the receptive fields are measured as functions over two spatial dimensions and one temporal dimension and concerning the existence of receptive fields corresponding to higher orders of derivatives.

Figure 6 shows the phase plots for the VOFVDPM with the orders of derivative being different periodic order functions.

In order to get the full view of the discrete derivatives, we calculate several orders of derivative (i.e., the first order, the second order, etc).

4.1, we observe that the order of derivatives has an effect on the stability of model (3).

The generalization of differential calculus to the fractional order of derivatives can be followed back to Leibnitz.

Fractional calculus is an extension of classical calculus that generalizes the order of derivatives and integrals to a non-integer order.