Sentence examples for a unique normalized from inspiring English sources

We show thatC*π has a unique maximal two-sided ideal and a unique normalized trace.

A unique normalized relationship is derived for the shear strength as a function of a ratio defined in terms of the amounts and yield strengths of reinforcements.

Let x ∈ M. Then exp x : T x M ⟶ M is a diffeomorphism, and for any two points x, y ∈ M, there exists a unique normalized geodesic joining x to y, γ x, y, which is minimal.

However, we noticed that a significant set of semantically related stems were not associated to a unique normalized string by the stemming procedure while they could have.

Then (operatorname{exp}_{x} T _{x}Erightarrow E) is a diffeomorphism, and for any two points (x, yin E), there exists a unique minimal normalized geodesic (gamma_{x,y}=operatorname{exp}_{x}toperatorname{exp}_{x}^{-1}y) for every (tin[0,1]) joining x to y.

Concerning CAGD, the unique normalized B-bases of such vector spaces ensure optimal shape preserving properties, important evaluation or subdivision algorithms and useful shape parameters.

It also shows the number of unique normalized mutations (HGVS mutation) and gene pair.

For those names where we do not retrieve any database identifiers, we fall back to another organism mention found in the abstract (if any), using the NCBI taxonomy dictionary (see below) (cf. Supplementary Figure B), otherwise we retain the unique normalized name (cf. Box 2).

Then equation (1) is satisfied by a unique set of normalized polynomials { f m ( x ) } which form an Appell set (cf. [2]).

In particular, we show that the normalized resisting stress (σr/Yt) can be represented as a unique function of the normalized thickness of the plate (H/D, where H is plate thickness and D is projectile diameter), for a large range of normalized thicknesses.

In a recent study, La Joie et al. excluded the white matter from the analysis using a unique mask applied on normalized images in the MNI space for all participants [19].