Sentence examples for between the unit circle from inspiring English sources

As an example, the simplest exponential map defines a local one-to-one correspondence between the unit circle, which is a nonlinear space (called the circle group), centered at 0 in the complex plane, and the tangent space at 1, which can be identified with the imaginary line in the complex plane.

with the constraint being that the poles and zeros are on the same radial lines, that is,, with the poles positioned between the zeros and the unit circle, that is,.

This formula establishes a correspondence between imaginary powers of and points on the unit circle centered at the origin of the complex plane.

We develop an Lp analog to AAK theory on the unit circle that interpolates continuously between the case p=∞, which classically solves for best uniform meromorphic approximation, and the case p=2, which is equivalent to H2-best rapproximationximapproximation

Finally, according to the distance between the barycenter and the edge profile, the radius of the unit circle is determined.

In this paper, according to the distance between the barycenter and the edge profile, the radius of the unit circle is determined.

So in the calculation of the unit circle radius, firstly, the longest distance and nearest distance between the barycenter and the contour edge distance are calculated, and the average value r is obtained.

Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle.

Let E be a compact subset of the unit circle.

The multipliers move around the unit circle as described above and may exit the unit circle only when multipliers of different kind meet on the unit circle.

where Γ is the unit circle around the origin.