Sentence examples for geometric loci from inspiring English sources

Encyclopædia Britannica, Inc. Descartes and Fermat independently founded analytic geometry in the 1630s by adapting Viète's algebra to the study of geometric loci.

Descartes and Fermat independently founded analytic geometry in the 1630s by adapting Viète's algebra to the study of geometric loci.

By just uploading the file generated by the considered DGS, graphs and equations of geometric loci are computed.

In the absence of measurement errors, i.e., d ̂ i = d ( x, a i ), it is clear that the geometric locus of the target node position lies on a sphere with the radius d x,a i ) and center a i.

Note that the geometric locus of II - when considered as an element of S 2 determined by its contact angles with the plates - moves upward in the family with decreasing a, but when considered as defined by its property of passing through the intersection of Π 1 with the x-axis, it moves downward.

The enhancement of the grey level on its maximal gradient lines (identical to the geometric locus formed by all the points where the mean Gaussian curvature on the grey surface vanishes) is due to the retinal processing and causes the sensation of contours.

This approach yielded mutation rates ranging from 1.01 × 10-4 to 9.00 × 10-4 for individual loci, with a geometric mean value of 2.81 × 10-4.

Other parameters in IMa2 are given in mutations per locus and are proportional to the geometric mean of the mutation rates per locus.

Under the multilocus model, the mutation rate is the geometric mean of the individual locus-specific mutation rates [ 24].

The parameter estimates were scaled using the geometric mean of the per locus mutation rate to make the parameters more easily interpretable.

For AG-3 from potato, recombination sites along the loci are indicated by geometric figures within the sliding windows.