Sentence examples for following simplification from inspiring English sources

It is also obvious the following simplification of Theorem 5.6.

Hence, we propose the following simplification of the uniform block matching through an iterative procedure.

The following simplification was made in the analytical model of the portal frame: The effect of shear force was neglected in deriving the column base connection models.

Therefore, we suggest a more computationally efficient method, by optimizing the following simplification of the EGP begin{array}{*{20}l} text{EGP} approx&frac{N_{mathrm{p}}r}{NN_{mathrm{u}}}left(sum_{kin{mathcal{N}}}m_{k}right) & cdotleft 1-text{PER}_{text{ESM}}left r,-betalogleft(mathrm{E}_{mathbf{H}}left[Y(mathbf{E})|mathbf{cdotleft 1-text{PER}_{text{ESM}}left r,-betalogleft

We proposed the following simplification criteria: (1) keep the direct and indirect effect pathway; (2) keep the confounding pathway; (3) drop the nodes with irrationality on temporal logic; (4) drop the independent causal factors; (5) drop the collider nodes and collider edges (see online supplementary text 2 for details).

This leads to the following simplification of inequality (7): (8) We show the agreement between the rule (8) and simulations in Fig. 5. Using eqn (8) we find that, if the driver mutation rate is, the detection size is, and the growth coefficient of resident cells is, then mutant cells need a three times higher growth coefficient than resident cells to affect tumor detection time.

The computations are based on the following simplifications: assume that the intracluster transmission stage is long.

The APP approximation makes use of the following simplifications: (i) We ignore future observations.

Thus, a near-field model is proposed, taking into account the following simplifications: first, the Tx is assumed to be a Hertz dipole ( -polarized, current ).

To press close to the physical reality and avoid the complexity of mathematical treatment, the following simplifications and assumptions are made in the dynamic modelling: a. Balls are regarded as elastic element because of the small quality;   b.

The following simplifications were adopted in the model.