Sentence examples for minimal cardinality of from inspiring English sources

Throughout this paper, we assume only a minimal cardinality of the hierarchical codebook.

Then, in this case, there is no danger of ambiguity in defining the minimal cardinality of Nielsen root classes of (1.3).

In a similar way as in the previous definition, Gonçalves and Aniz in [3] define the minimal cardinality of Nielsen root classes.

Particularly, well-known network coding is related to the link-layer techniques, and it is often assumed as a linear commutative operation with minimal cardinality of the output alphabet.

According to the almost minimal cardinality of M ℓ, assumption  (8.4), and uniform shape regularity, it follows that | M ℓ | ≤ | M | ≤ C 9 | ω k (T ℓ ; M ˜ ) | ≃ | M ˜ | ≃ | R ˜ (ε 0 ; T ℓ, T ^ ) |.

The relaxation to almost minimal cardinality of M ℓ allows to employ a sorting algorithm based on binning so that M ℓ in  (2.5) can be determined in linear complexity  [14, Section 5].

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

In particular, cMCSs of minimal cardinality are important as these solutions minimize the experimental effort when knockouts are actually implemented in vivo.

This helps the GA to reach the optimum faster.> -wrap-foot> These parameters are used to control the running of the GA and also to get more specific results The GA stops after reaching a pre-specified number of generations or when the maximum fitness doesn't improve for a given number of generations, outputting all MCSs of minimal cardinality associated with each desired pattern.

Table 1 Number of minimal cardinality exclusive codes in the standard notation as a function of the alphabet size.

If the EFMs are known it is theoretically possible but generally impractical to find all optimal partitions of EFMs and their corresponding cMCSs (of minimal cardinality).