Sentence examples for with respect to points from inspiring English sources

This is because the number of non-linear equations can be reduced to that of the equations with respect to points connected with the non-linear element.

The length and diameter of vessels of the vascular pedicle were determined, and the length and depths of the iliac bone were measured with respect to points determined by the relative dimensions of the bone.

We review the complex shapes of myomeres and myosepta in the mackerels and tunas and reveal the orientation of two major systems of collagen fibers in myosepta and horizontal septa with respect to points of attachment to skeleton and skin.

F is said to be ordered metric increasing from S to 2 T ∖ ∅ (with respect to points s ′ and t ′ ), whenever F is both ordered metric increasing downward and ordered metric increasing upward.

With respect to points, the individual's phenotype must be characterized by range and pattern of variation among the points, some of which owes to chance or drift, time, experimentation, and adaptation, raw material and the like.

C i is the point nearest the original surface vertex point A i. ( {overset{rightharpoonup }{A^{prime}}}_i ) is the new vertex point stretched from A i. b i is the extending coefficient with respect to points same layer as A i (Fig. 2).

where is the projected error vector with respect to point given by (22).

We can determine certain characteristics of a family in accordance with the family's position with respect to point ( widehat{Z} )—or what is the same, with respect to point ( left( {bar{theta } - widehat{theta }} right) ).

The scarcity of papers on behavior change with respect to point-of-use water treatment technologies suggests that this field is underdeveloped.

The Quaternion-based Extended Kalman Filter analyzed in this paper, achieved satisfactory results for eccentricity values less than 0.4 with respect to pointing system accuracy.

Through measurement results, it is shown that the NCC-OFDMA system operates at lower error rates with respect to point-to-point transmission systems.