Sentence examples for arbitrarily points from inspiring English sources

In the previous formula, (r = sqrt {z^{2}+ u-x ^{2}+ v-y)^{z^{2}+ u-x ^{2}+ v-y between two arbitrarily points taken, respectively, from the plane containing Σ and from the observation plane.

Separately, the official Chinese news agency, Xinhua, issued a report on the episode that repeatedly cast doubt on Google's own credibility and past practices, saying that it "arbitrarily pointed its finger at China" with "baseless complaints".

Let (x_{0}in H_{1}) be an initial arbitrarily point.

This paper presents a distance measurement method based on pixel number variation of CCD images by referencing to two arbitrarily designated points in the image frames.

Given the values of a measurable function m:Rd→R at n arbitrarily chosen points in Rd the problem of estimating m on whole Rd is considered.

The analytical results, including critical internal pressure and strains in global directions, were validated with the experimental results for some arbitrarily selected points on the shell surface along meridian axis.

However, (24) means that the probability that the Euclidian distance between two arbitrarily chosen points from the joint constellation would be greater than is very close to 1. Let us find that satisfies (24).

According to Clavius's commentary of 1589, this pointwise construction of the quadratrix was an improvement over that offered by Pappus, because it was more accurate: Since the pointwise construction allowed one to identify arbitrarily many points along the curve, one could trace the quadratrix with greater precision than if one had to consider the intersection of two moving lines.

Green's function that gives the full set of electromechanical fields due to a point electric charge and an arbitrarily oriented point force is derived in explicit form for a piezoelectric material with the symmetry of class 6.

Destruction can be reversed, they insist, time made to stand – at some arbitrarily favoured point – still.

For an arbitrarily initial point, we choose suitable, letting (4.2).