Sentence examples for by using the principal from inspiring English sources

He soon became an authority on China and Mao by using the principal source available: the written record.

The equilibrium equations and the related boundary conditions are derived by using the principal of the minimum total potential energy.

In the circular restricted three-body problem (Earth Moon Satellite), transit, non transit and asymptotic trajectories, are easily identified by using the principal reference frame.

The significant difference in metabolic profiling was observed from model group (hydrocortisone-induced group) compared with the pre-dose group (rats before hydrocortisone inducing) by using the principal components analysis (PCA).

Coupled with biochemistry and histopathology results, the significant difference in metabolic profiling between d-gal treated group and the GTP treated group by using the principal components analysis (PCA) indicated that changes in global plasma metabolites were occurred.

Fig. 1 Estimation of the back-azimuth by using the Principal Component Analysis (PCA).

The dimension of the concentration field is reduced from around 43,421,400 to 20 to allow meta-modelling, by using the segmented principal component transform-principal component analysis.

Then, for the same mixed mode situation with two cracks, the crack growth paths are modeled by using the maximum principal stress criterion and the finite element method.

By using the maximum principal stress, it is possible to distinguish whether fatigue cracks will initiate at the weld toe or the weld root.

Crack tip stress intensity factors were estimated in order to determine the crack propagation direction, by using the maximum principal stress criterion.

Here, we calculated our coupling measures directly between sources by using the first principal component of the signal at each of the three directions.