Sentence examples for based on the auxiliary from inspiring English sources

Here, we report a facile approach to fabricate 3D graphene oxide (GO) monoliths based on the auxiliary cross-linkage of simple organic molecules with double hydroxyls/carboxyls.

In the case of hybrid inference, expected values and variances are derived by considering both the design through which auxiliary data were collected and the model used for predicting values of population elements based on the auxiliary data.

Based on the auxiliary differential equation approach, a hybrid Maxwell Debye system is constructed, which couples the wave equation for the electric component with Maxwell's equations for the magnetic components.

Based on the auxiliary graphs, this paper proposes an efficient heuristic called green multicast grooming algorithm based on spanning path dedicated protection (GMG-SPDP), in which the network reliability and the energy efficiency are jointly taken into account.

First, based on the auxiliary system approach, we propose a consensus algorithm that extends some of the existing results in the literature to account for actuator saturations and the lack of velocity measurement.

Based on the auxiliary state vector and the auxiliary measurement vector, (1) can be converted to {tilde{varvec{z}}} = {varvec{By}} + {tilde{varvec{e}}} (6 where ( {varvec{B}} in R^{m times (N + 2b)} ) is the constant Jacobian matrix and ( tilde{varvec{e}} in R^{m} ) is the auxiliary noise vector.

The proofs of Theorems 2.1 2.8 are based on the following auxiliary lemmas.

The proof of Theorem 3 is based on the following auxiliary results.

Proofs of Theorems 3.1 3.6 are based on the following auxiliary assertions.

The weights were calculated based on the following auxiliary variables: gender, municipality affiliation, registered sick-leave in 2009 (more than 45 consecutive days), age, marital status, educational level, and country of birth.

Based on these auxiliary points, a series of auxiliary hyperbolas are constructed using the geometric characteristics of the hyperbola.