Sentence examples for if the sets intersect from inspiring English sources

This notion is more general in the sense that if the sets intersect, then every best proximity point is a fixed point.

This definition is more general than the notation of cyclical maps, in sense that if the sets intersect, then every best proximity point is a fixed point.

Those best proximity points coincide with the fixed point if such sets intersect.

By definition of a separating sequence, if the sets S′and S′′ intersect then there is no a separating sequence for these sets.

If the sets do not intersect, then it is proven that if is a metric space endowed with a distance map, some, and is said to be a best proximity point.

A raytracing algorithm uses this information to step along a ray and decide if the ray intersects the set.

Most of the sets formed by intersecting three clinical subgroups are too small for meaningful analysis.

Analysis 2: All the incomplete rotations should be co-axis if the limbs intersect.

Since ({hat{C}}_infty) operations imply infinitely many operations, the intersection algorithm generates new operations if the intersect would reduce to a finite set.

The ontological terms are the above gene sets that intersect with gene sets of developmentally non-coherent late miRNA targets.

In the simplest original form it states that if a finite family $\Gamma$ of convex sets in $R^n$ has the property that every $n+1 $of the sets have a non-empty intersection, then all the convex sets must intersect.