Sentence examples for auxiliary properties from inspiring English sources

The auxiliary properties of Remark 3.4 below have been used in the proof of Lemma 3.3.

The optimization of auxiliary properties including optical loss, thermal stability and conductivity is also discussed.

Following the ideas of Casas, Kavian, and Puel in [11], we study in Section 3 some auxiliary properties of the weak solutions to the Neumann problem (1.1 - 1.2 1.1 - 1.2

The cross-bridge within crosslinking reagents can provide important auxiliary properties in addition to the specific coupling reactivities present in the compounds.

Auxiliary properties such as the coverage dependence of the average tilt angle (relative to the surface plane) for the molecules in the monolayer were evaluated.

The numbers of bacteria and AMF infection were found to be higher in T7 compared to T4, 5 and 6 treatments (Tables 1, 2) suggesting the auxiliary property of micro-organism in combination with each other.

Section 2 is devoted to auxiliary results concerning properties of the Marchaud fractional derivatives: existence, continuity, and integral representation in terms of the higher-order function derivative.

Working fluid properties and auxiliary dynamic equations are used to model the processes in the ejector.

First, we need some auxiliary results for the properties of functions (psi_{alpha}), (psi_{alpha, 0}) and the relationship between sequences ({ s_{alpha, n } }) and ({ t_{alpha, n } }).

When spatial structure could not be well captured by point-based observations (e.g., when the ratio of sample spacing over correlation range was > 0.5), or when a strong relationship existed between target soil properties and auxiliary variables (e.g., their R2 was > 0.6), regression kriging (RK) was more accurate for interpolating soil properties in both landscapes studied.

Furthermore, with the addition of benzil-based auxiliary donor, the absorption properties turn better, which directly results in the enhanced short-circuit photocurrent density (from 8.78 (to) to 10.58 (WY5) and 11.50 mA cm−2 (WY6)) and thus the enhanced power conversion efficiency (from 4.24 (to) to 4.78 (WY5) and 5.52% (WY6)).