Sentence examples for intersection number from inspiring English sources

Consider then the graph of (gamma ), ( Gamma _{gamma } subset C times C), and intersect it with the diagonal (Delta subset C times C): their intersection number must be a nonnegative integer, because intersection points of complex subvarieties carry always a positive local intersection multiplicity.

This turns out to be equivalent to the NP-hard problem of computing the intersection number of G, thus in turn equivalent to the clique cover problem.

The expected intersection number, against any smooth curve, is universally proportional to the length of the reference curve, times the wavenumber, independent of the geometry.

The multiple reflection effects are investigated both in the intersection number and acceleration on GPS IIR, Galileo IOV and Sentinel-1 spacecraft.

Given three Schubert varieties S1, S2, S3 with intersection number equal to one, we show how to construct an explicit element in their intersection.

In this paper, an approach to predict the percolation threshold of hybrid filler systems is developed based on the modified average intersection number, which is proposed in this paper and revealed to be an invariant at the threshold.

A quasi-symmetric design (QSD) is a (v,k,λ) design with two intersection numbers x,y, where 0≤x

In this note, we will give intersection numbers for two simple 2-fold (3n,n,3) group divisible designs (GDD).

Mendelsohn's concept of "intersection numbers of order r" for t-designs, and show that analogous equations to those of Mendelsohn hold for generalised t-designs.

The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs.

In this paper, we generalize the formulas for the intersection numbers, and introduce their applications to pooling designs, Cartesian authentication codes and vertex-transitive graphs.