Sentence examples for derivations with from inspiring English sources

A two-aperture SAR-GMTI system is again assumed in the following derivations with the understanding that the derived equations can be generalized to a multiaperture system.

Now contrast such derivations with retrodictive derivations in which the present motions of the planets are derived from information about their future velocities and positions at $t$, the forces operative at $t$, and so on.

The Minimal Link Condition, also known as the Shortest Link or Shortest Move, states that derivations with shorter links are preferred over derivations with longer links.

We start our investigations for approximate ring left derivations with some results.

Figure 6 illustrates the important geometry used for subsequent derivations with a reduced dimensionality.

This proves the accuracy of our proposed analytical EVM derivations with and without clipping.

The word comedy seems to be connected by derivation with the Greek verb meaning "to revel," and comedy arose out of the revels associated with the rites of Dionysus, a god of vegetation.

The stability of ∗-derivations and of quadratic ∗-derivations with the Cauchy functional equation and the Jensen functional equation on Banach ∗-algebras was investigated in [18].

The full derivation with assumptions are presented.

(1.3) where ′ denotes derivation with respect to time.

The analytical formulation of the ECR is based on a mathematical derivation with high accuracy.