Sentence examples for crossing number from inspiring English sources
noun
The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself.
We define the reticulation crossing number as the minimum number of crossings involving reticulation edges in any drawing of N respecting τ and π.
Whereas in general only an odd crossing number entails bifurcation, for potential operators in a Hilbert space E a nonzero crossing number is sufficient for bifurcation.
We also discuss the particle "crossing number" at 1AU and its implication to particle anisotropy.
Crossing time, speed, stages of crossing, number of interruptions while crossing, and the type of vehicles for which pedestrians accept the gap were extracted from the video.
We get exact results of some structural graphs, and compare some of the experimental results with the one in paper [Cimikowski, Robert: Algorithms for the fixed linear crossing number problem, Discrete Applied Mathematics 122 (2002), 93 115].
In this paper we describe the mathematical foundation of such models as well as such spatial, geometric, statistical, and physical properties of the configurations as mathematical energies, thickness and ropelength, average crossing number, average writhe, and volumes and surfaces areas of standard bodies enclosing the knots.
This heuristic aims at minimizing the crossings among connectors but it does not try to minimize the reticulation crossing numbers for N1 and N2.
The 'Variety' page shows any synonyms and pedigree information such as the mother, father and cross number, if applicable.
The distinct time-varying molecular crossing numbers show that this special nanopore can efficiently sieve CO2 and H2S molecules from CH4 molecules with high selectivity.
As I reported in April 2009 for Huffington Post (The Consequences of a Wall: More Deaths Along AZ Border) even as illegal border crossing numbers go down, the number of those who die trying to cross the border is rising.
They typically involve stringing together a series of complicated activities, often crossing a number of different systems, to keep work moving along in organized and automated way.
