Sentence examples for adopted hence from inspiring English sources

Based on these experimental findings, a simplified constitutive model for concrete under high-cycle fatigue loads was adopted; hence, a fatigue deformation prediction model was developed to analyze the strain and stress distributions on a cross-section under both cyclic axial forces and bending moments.

Given the ordinal nature of the scales, a non-parametric approach was adopted, hence all analyses use Spearman's rank-order correlation coefficients (Spearman's Rho).

Some of the variables in the UNICEF conceptual framework were not applicable to the study design adopted hence were not adopted in the paper for instance inadequate health facilities.

Implementing and managing of both flange lubrication, and top of rail friction modification programs have become more widely adopted and hence there is a growing need for measurements that assist in quantifying the effectiveness of these programs.

These benefits can be transferred to consumers and fish processors if the technology is widely adopted and hence need to assess willingness to pay.

But, derivation processes are dispensable in the case of the Alpha system when the Multiple readings are adopted.[22] Hence, having the clause 4(b) above in addition to clauses 3 and 4(a) is not redundant, but instead highlights a fundamental difference between Alpha diagrams and a symbolic language with various connectives (see Shin 2002: §§4.3.2, 4.4.4, and 4.5.3).

Price control, like any other form of regulation, is unconstitutional only if arbitrary, discriminatory, or demonstrably irrelevant to the policy the Legislature is free to adopt, and hence an unnecessary and unwarranted interference with individual liberty.

The model of unbraced semi-continuous frame is hence adopted for design.

Particle element numerical method is hence adopted in the analysis for this research to take into consideration the behavior of each particle, where the melting of pellets caused by friction against flight and screw are assumed as friction against adiabatic walls.

Different regulatory authorities have hence adopted rather different definitions [5 7].

We focus our discussion on relatively low frequencies and hence adopted a 1D layered structure (Table 1) as used in the routine moment tensor inversion of F-net (National Research Institute for Earth Science and Disaster Prevention, Japan).