Sentence examples for the global length from inspiring English sources

Example 3.16 As was mentioned at the end of Section  2.1, when A G is an ordinary algebra, the global length of ℓ (A G - M o d ∞ ) is precisely its homological dimension.

Corollary 3.13 Given an A ∞ -algebra A, the generation time of an A ∞ -module U A in H 0 (A - M o d ∞ ) is the global length ℓ (A - m o d ∞ ).

Significantly, the total length of the BCM-RCM assembly was just 430 kb shorter, and contained only 1,142 less sequences, than the global length of the BCM and RCM assemblies on the whole (Table 2).

Definition 2.21 For P ∈ A - m o d ∞ we define the length of P to be ℓ (P ) ≔ ℓ Hom (P, _ ) = ℓ _ ⊗ ∞ P, and define the global length of A - m o d ∞ to be the supremum ℓ (A - m o d ∞ ) ≔ sup { ℓ (P ) : P ∈ A - m o d ∞ }.

For P ∈ A - m o d ∞ we define the length of P to be ℓ (P ) ≔ ℓ Hom (P, _ ) = ℓ _ ⊗ ∞ P, and define the global length of A - m o d ∞ to be the supremum ℓ (A - m o d ∞ ) ≔ sup { ℓ (P ) : P ∈ A - m o d ∞ }.

The reconstruction was performed on the cloned DNA sequences of the ORF1 and ORF2 region from the different populations of D. simulans, and from some sequences detected in the sequenced genome (we eliminated sequences that were too short relative to the global length of the alignment).

The different kinematic performance of the reconstruction with horizontal tunnel and vertical tunnel may be explained by the different global length of the tendon used, different positions of the postero-medial bundle of ACL reconstructions, although small, or the different force transmission in the transition between intra-articular area and tunnels.

The length (N) of the global distance sequence, d, is equal to the sum of the lengths of the four inter-nucleotide distance sequences (NA, NC, NG and NT).

The patients' global length of stay was 8.56 days in 2007 and 7.93 days in 2009, without day surgery patients.

Since the present model requires only local input quantities, it is well suited to CFD of geometrically very complex coolant flows, where the definition of global length or velocity scales would be impractical.

Every flow system has a property called svelteness (Sv), which is the ratio between its external (global) length scale and its internal length scale (V1/3), where V is the volume occupied by all the ducts.