Sentence examples for a complete intersection from inspiring English sources

Assume that (f1,f2) defines a complete intersection.

If f is a complete intersection the condition is necessary.

More generally, let f1 and f2 be sections of some vector bundles and assume that f1⊕f2 defines a complete intersection.

In the case that the variety V is affine and smooth and has a complete intersection ideal of definition, we are able, for a generic parameter choice, to describe locally the generalized polar varieties of V by explicit equations.

Specifically, the proposed algorithm requires vehicles heading to an intersection to communicate only with neighboring vehicles, while the lead vehicles on each approach lane share information to develop a complete intersection utilization schedule.

In the case where X has codimension 2, and ( N ge 6) (see [154], cor. 4.2, p. 165), the condition of being a complete intersection is equivalent to projective normality.

In the present paper we introduce a natural construction that allows to tackle the case of a non-smooth real hypersurface by means of a reduction to a smooth complete intersection.

In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety.

Let (X subset {mathbb {P}}^N) be a projective embedding, and let S be a smooth surface, obtained taking the complete intersection of X with (n-2) hypersurfaces.

Our method is also designed in such a way to exploit important particular cases such as complete intersection curves or curves contained in nonsingular surfaces.

The first step is determining a suitable space graph which contains all critical points of a real algebraic space curve C implicitly defined as the complete intersection of two surfaces.