Sentence examples for points of a planar from inspiring English sources

Facilities and customers are represented by points of a planar Euclidean domain.

This paper deals with the problem of C2 cubic spline interpolation under geometric boundary conditions, that is, fixing the unit-tangent vector and the curvature at the end points of a planar point-set.

For third-order nilpotent critical points of a planar dynamical system, the analytic center problem was completely solved by using the integrating factor method [18].

A fixed point of a planar map is called isolated if there exists a neighborhood of the fixed point that does not contain any other fixed points.

A fixed point of a planar map is said to be 1 1 resonant if the Jacobian matrix of the map at the fixed point is similar to (bigl( {scriptsizebegin{matrix} 1 & 1cr 0 & 1 end{matrix}} bigr) ).

The equilibrium point of a planar differential system has the same stability or instability as this limit cycle, and the equilibrium point with eigenvalues frac{A_{1}A_{2}pmsqrt{-gamma(1+gamma)^{4}A_{3}A_{4}}}{2sqrt{gamma }(1+2gamma omega^{3}(gamma+gamma^{2}-omega^{2})(gA_{a^{2}+omega^{2})A_{1}}, (11) where (A_{i}) ((i=1,2,3,4)) can be found in the Appendix.

The focal points of a curve traced by a planar linkage capture essential information about the curve.

In this paper we consider a classical problem of Computer Aided Geometric Design, namely the computation of the intersection points of two planar rational parametric curves, given in Bernstein form.

The idea of this section comes from [21, 24], where the center-focus problem of three-order nilpotent critical points of the planar dynamical systems is studied.

In this section, we summarize some definitions and results about the center-focus problem of three-order nilpotent critical points of the planar dynamical systems that we shall use later on.

To illustrate the power of our propositions, classical operations segmentation of a planar image, point location in a planar subdivision and refinement of a map are revisited, easily specified and debugged on the quasi-map structure.