Sentence examples for we proceed using from inspiring English sources

We proceed using the tools of Geographic Information Systems GISS) to develop quantitative measures of urban form.

As for the output feedback loop, we proceed using a cascade approach, i.e., we impose the appropriate conditions so that the closed loop system has a cascaded structure.

We proceed using the formulation in [7].

We proceed using integration by parts.

We proceed using a two-pass approach as shown in Fig. 4, which involves first a collection and then an update pass: The collection pass (Fig. 4 a) traverses the pixels in the inverse order of the update sequence (compare to Fig. 3).

Thus, instead of calculating the determinant of V, we proceed using matrix W. From (48) and given the fact that the determinant of C is non-zero (since C is invertible), it is extracted that det σ w 2 Σ y - 2 + χ - 1 I = 0 ⇒ χ i = 1 - σ w 2 σ s 2 c i 2 + σ w 2 (49) With the use of V- W equivalence, the metric matrix is considered to have L discrete eigenvalues with N degrees of multiplicity each.

In order to probe the potential relationship between online searches surrounding the topic of protests, and the actual occurrence of on-street protests, we proceeded using the following five step process.

To test whether bilateral ROIs were leading to uncorrect estimation of high lateralized networks, we first computed the analyses with unilateral ROIs; as the results of right and left ROIs were highly similar, we proceeded using bilateral ROIs (see Supporting file S2).

Contest duration was not normally distributed Kolmogorov-Smirnovv testatistictic = 0.185, p<0.001), and although a square-root transformation restored normality, we proceeded using nonparametric Spearman rank correlations for ease of explanation since parametric correlations using transformed data did not change our interpretation (data not shown).

We proceeded using the approach described in Roizès [ 6]: PCR and sequencing of a number of cloned repeats.

Thus, we proceeded using the following hyperbolic function (1) V = A 1 + α D where V represents the discounted value of the future reward A at delay D. The function shows that larger values of α correspond to smaller values of V. Let observed outcome of a trial be denoted by Y, the decision to choose a later reward by Y = 1 and to choose a current reward by Y = 0.