Sentence examples for bounding circle from inspiring English sources

In the Poincaré disk model (see figure, top right), the hyperbolic surface is mapped to the interior of a circular disk, with hyperbolic geodesics mapping to circular arcs (or diameters) in the disk that meet the bounding circle at right angles.

The circular model is relatively simple, in which a candidate bounding circle can be described as: s={left[x,y,rright]}^{mathrm{T}} (12 where x, y represents the location of the circle and r the radius of the circle, as is described in Fig. 2.

However, the pseudosphere is not a complete model for hyperbolic geometry, because intrinsically straight lines on the pseudosphere may intersect themselves and cannot be continued past the bounding circle (neither of which is true in hyperbolic geometry).

By considering all GPS coordinates in a 24 h window, we calculate the diameter of the convex hull 4 (or diameter of a minimum bounding circle) of the set by using the Haversine formula.

This he accomplished by inscribing a polygon within a circle, and circumscribing a polygon around it as well, thereby bounding the circle's circumference between the polygons' calculable perimeters.

Now of lines which return upon themselves the line which bounds the circle is the shortest; and that movement is the swiftest which follows the shortest line.

Take generators (gamma _1, ldots, gamma _d) formed by a simple path going from the base point (y_0) to a point (z_i) on the circle bounding the open discs (Delta _i), and by the circle (partial Delta _i).

There are a number of traditional dances associated with women; these include a humorous song and dance called the giddha, a whirling dance performed by girls and young women called the kikli, and a form in which dancers snap their fingers and clap their hands while bounding in a circle.

Frequency-dependent closed-loop performance functions based on the uncertainty sets are again bounded by circles in the frequency domain, allowing for analytical expressions for worst-case performance and for the evaluation of the consequences of uncertainty for robust design.

Closed-loop performance functions based on these sets are again bounded by circles in the frequency domain, allowing for exact worst-case performance calculation and for the evaluation of the consequences of uncertainty for robust design.

The more sensitive the information to be shared (as is typically the case with novel threats and vulnerabilities), the more likely it is that cooperation will take place within tightly bounded trust circles, in which participants know and trust each other.