Sentence examples for minimal end from inspiring English sources

Remark 2.7 Similarly, as we have mentioned in Remark 2.5, if all assumptions of Theorem 2.6 are satisfied and T is linked to X by the stronger relationship (SI), and there exists a point x 0 ∈ X such that such that v ⪯ x 0 for all v ∈ T ( x 0 ), then one can show that there is a minimal end point x ˜ ∈ ( − ∞, x 0 ] ⪯ of T. Now we give an example to demonstrate Theorem 2.4.

The minimal end point method gives a distance of zero to features falling at least partially within a breakpoint (fig. 1 C ).

However, the minimal end point to efficacy has been found to be a decrease in pain intensity of at least >33%, 15 min after the study medications.

To test the conclusions of the regression analysis, we removed all hcARSs, tRNAs, and Tys/LTRs that have another different kind of feature within 5 kb measured by minimal end point measures.

In case of a deletion, for instance, the start and end position is estimated as the maximal begin position of all paired-ends of the cluster and the minimal end position of all paired-ends of the cluster, respectively.

Using the minimal end point distance analysis, we obtained significant P values for the Kellis-defined S. cerevisiae– K. waltii breakpoints associated with isolated hcARSs, whereas Wolfe breakpoints were only weakly correlated with isolated origins (Kellis: P value = 0.0007; Wolfe: P value = 0.0454).

Starting with a controller description in state space form, the nominal stability is proven and the minimal end-point weighting matrix is derived.

In developing a generic computer program, it is better to use general mathematical expressions able to cover a wide range of possibilities with minimal end-user intervention.

In addition, we propose to optimise the mould design in order to perform the most homogeneous filling and by the way, the best positioning of injection points in order to reach a minimal end-filling pressure.

For example, the development of tracer-specific small animal PET probabilistic atlases [ 3] correlated with anatomical (e.g. MRI) templates enabled automated volume of interest (VOI) or voxel-based analysis of small animal PET data with minimal end-user interaction [ 4].

PCR primers were designed to amplify the minimal ends of Tol2 [ 15] and connected in an inverted orientation with a ~1 kb DNA spacer.