Sentence examples for of complex polynomials from inspiring English sources

The simultaneous stabilization of the family of complex polynomials provides an approximation of the required set of controllers.

The existence of polynomial space curves with rational rotation-minimizing frames (RRMF curves) is investigated, using the Hopf map representation for PH space curves in terms of complex polynomials α(t), β(t).

This class of fixed structure controller synthesis problems can be reduced to the determination of a real controller parameter vector (or simply a controller), K, so that a family of complex polynomials, linear in the parameters of the controllers, is Hurwitz.

Let be the space of complex polynomials.

Even worse, the set of complex polynomials, having no zeros in the unit disk, does not form a convex set.

Zernike moments are constructed by a set of complex polynomials which form a complete orthogonal basis set defined on the unit disk x 2 + y 2 ≤ 1.

They are defined as a set of orthogonal functions based on complex polynomials originally introduced in [9].

Basic concepts of the real polynomial spectral facorization theory are inspected first, and their generalization and necessary modification for complex polynomials then follows.

The existence of non-degenerate RRMF quintics is newly demonstrated through a constructive process, involving simple algebraic constraints on the coefficients of two quadratic complex polynomials α(t), β(t) that are sufficient and necessary for any PH quintic to admit a rational rotation-minimizing frame.

Remember also that a complex rational function is the ratio of two complex complex polynomials.

We present a new application of the complex polynomial method variant of the complex variable boundary element method.