Sentence examples for differentiated with respect to from inspiring English sources

The set of differential equations is differentiated with respect to the boundary condition chosen and the resulting partial differential equations are solved by a finite-difference method.

The many common examples of mechanical differentiators in which a displacement is differentiated with respect to time include speedometers and generators.

If (5.5) is now differentiated with respect to x and (5.8) with respect to t, the respective results are frac{partial^{2}e}{partial x^{2}} = - Rfrac{partial i}{partial x} - Lfrac{partial i^{2}}{partial x, partial t} (5.9) and frac{partial^{2}i}{partial t, partial x} = - Gfrac{partial e}{partial t} - Cfrac{partial^{2}e}{partial t^{2}}.

The adopted BRB model, shown in an earlier study to give accurate predictions of the experimental behaviour of BRBs, is differentiated with respect to its material constitutive parameters using the direct differentiation method (DDM) and the obtained response sensitivities are validated by comparisons with the finite difference method (FDM).

In a series of imaging studies employing EST and AND, we found activations in the anterior hypothalamus, which were differentiated with respect to sex and sexual orientation of the smeller in relation to the respective compound [9], [10], [11].

Both yx and yt are again functions of the two variables x and t, so they in turn can be partially differentiated with respect to either x or t.

The proposed formulation is based on the implicit differentiation method (IDM), where the boundary integral equations are differentiated analytically with respect to the design variables.

From the selection of cell lines we used in this study, K562 cells were the least differentiated, but with respect to viral replication we did not observe a difference between K562 cells and the more differentiated cell lines.

The differentiated counts with respect to kinetic energy (dC/dE) versus kinetic energy (E) are plotted.

Figure 6 Differentiated counts with respect to kinetic energy (dC/dE).

The phonetic content of these sentences is optimized by a greedy algorithm that maximizes statistical coverage of triphones in the target language (differentiated also with respect to syllabic and word boundaries).