Sentence examples for covering sets from inspiring English sources

In this definition, the covering sets can be open or closed, and they will yield the same measure.

The concept of compactness from mathematical topology ([33], Chapter 3) states that a set, such as a manifold, can be covered by a finite number of open sets from the N-dimensional space.6 There is no specific structure required for the covering sets, so they can be assumed to be Gaussian, i.e., ellipsoids.

In this round, researchers included some 40+ financial usage related questions into the Gallup World Poll, covering sets of 1,000 randomly selected, nationally representative adults in more than 140 countries, to create the most robust summary data set of its kind in the world.

Basic covering set discovery.

A basic covering set of C is a covering set of C with minimal cardinality (having the least number of packets).

The recovery mechanism consists of finding a basic covering set and packets in that covering set are requested from the sender.

A set of sensor nodes is a covering set of area if and only if for each point, say, there is that covers.

Moreover, by the definition of covering set, we have | E X | ≥ δ ( n − τ ( G ) ). Hence we have λ n ≥ 2 m 2 m − δ ( n − τ ( G ) ).

S is a covering set of C if the closure of S includes all packets that are part of the coded messages in C. Going back again to the previous example, we see that (S^_{C}) is a covering set of C but (S^_{C}) is not.

It can be verified that many previous works, including the conventional ME (binary and ternary) and the sum and difference covering set based steganography, are special cases of the proposed general framework.

By using a vector covering approach, the sets of legal markings and first-met bad markings (FBM) are reduced to two small ones, i.e., the minimal covering set of legal markings and the minimal covered set of FBM.