Sentence examples for with respect to each element from inspiring English sources

Noting that "the result, in a case such as this one where the defendant is required to prove the critical fact in dispute, is to increase further the likelihood of an erroneous murder conviction," id., at 701, 95 S.Ct., at 1890, Mullaney held that due process requires the prosecution to bear the burden of persuasion with respect to each element of a crime.

The hydraulic pressure force is applied to the normal direction of the tube workpiece by integrating the pressure with respect to each element's surface area.

By taking the derivatives of this accumulated distortion with respect to each element of, and equating them to zero, the optimum is obtained, as (16).

The least square procedure is to take the partial derivative of (E) with respect to each element in ({mathbf{m}}) and set the resulting equations to zero.

The centroid of the th voronoi region is obtained by finding the derivatives of the accumulated distortion with respect to each element of the th codeword of the SMQ codebooks and equating it to zero, leading to (5).

The design sensitivity with respect to each structural element is computed by the adjoint variable method with consideration for the residue theorem.

Passenger trajectories generate the spatial and temporal structure of flows during an analysis period, in particular with respect to each network element and each origin-destination pair.

Elements at a given hierarchy are compared in pairs to assess their relative preference with respect to each of the elements at the next higher level.

Claims of authorship and ownership of AI-generated art can be hazy as to the overall project, but are typically crystal clear with respect to each of these elements.

On the mathematical interpretation of the civil standard of proof, the plaintiff should succeed in his claim since the probability with respect to each of the elements exceeds 0.5.

Here, we provide a preliminary study of time-reversal-based techniques applied to target detection by GPR utilizing different relative orientations of linear-polarized antenna elements (with respect to each other, as well as to the targets).