Sentence examples for circle of the unit from inspiring English sources

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Figure 9(H) shows that the path on the Gauss Map does not fall on a great circle of the unit sphere.

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The barycenter of contour is calculated as the circle center of the unit circle.

In particular, the sets K p are mutually disjoint, and the derived set of is the unit circle { z : | z | = 1 }.

The angular stress distance, which ranges from 0 to 180 degrees, is defined by the angular distance along the great circle of the five-dimensional unit sphere.

A modified scheme is proposed in this paper which will incorporate a particular adaptive IIR Youla Kučera Filter, called ρ-notch structure (the denominator is a projection inside the unit circle of the poles of the model of the disturbance which has roots on the unit circle).

The image of circles in the unit disk under f is shown in Figure 1, and Figure 2 shows the image of the radial slits in U by F. Figure 1 Graph of circles in U by f ( z ) = z ( 1 − z ¯ ) 1 − z. Figure 2 Graph of radial slits by F ( z ) = f ( z ) | f ( z ) | 2 i, f ( z ) = z ( 1 − z ¯ ) 1 − z.

Therefore, with the help of image's stable edge contour, the circle center and radius of the unit are determined.

The key to effectiveness of the algorithm is that the edge profile of the image is extracted by using the level set and then the robustness of the unit circle is determined.

With the aid of the extracted stable edge contour in detail sub-image and the method described in Section 3.3, the circle center (C x, C y ) and radius R of the unit circle are determined.

The paper is dealing with the problem of finding the densest packings of equal circles in the unit square.

If the position information is matched with the position of the original embedding unit circle, it is proved that the unit circle is the unit circle used in embedding, and then, the watermark is extracted.

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