Sentence examples for equation match from inspiring English sources

Although the interdiffusion coefficients predicted by Darken's equation match well to those obtained from the viscosity measurements via the Stokes-Einstein relation, they are smaller than those measured by QENS or X-ray radiography, indicative of an anomalous nature of the structural dynamics, dominated by the local ordered clusters in liquid Al80Cu20.

Why does the very simple Hill equation match so well to the range of observed input-output relations?

Simulations from a model based on the advection-dispersion equation matched the filtration and transport of ENPs in the columns well.

From Fig. 11, it is observed that the LET equation matched with the drainage relative permeability curve of core No. 22 more accurately compared with Corey model.

The steady-state solution of the modified re-initialization equation matches that of the original conservative level set provided an additional Eikonal equation is solved, which can be done efficiently through a fast marching method (FMM).

State-of-the-art qualitative simulators (for instance, QSIM) are known to be sound; no trajectory which is the solution of a concrete equation matching the input can be missing from the output.

For ε > 0.1 and the y-values between ε and (1 − ε), the first exponential term in this equation matches the precise equation with correlation of r 2 ~ 1, which yields the rate constant (τ = R 2 / sD)) values within 5%% of the actual.

This equation matches the fact that the co-stimulation of neurotransmitters norepinephrine (NE) and ATP can effectively convert the electrochemical potential energy stored in the mitochondrial proton gradient into heat via the mitochondrial uncoupling protein-1 (UCP1) in BA (Xie et al. 2017b).

In contrast to standard OLS methods that also relied on the selection on observables assumption, rather than assuming a functional form for the outcome equation, matching computes directly the counterfactual outcome by comparing trained and untrained individuals that are 'similar' in terms of pre-treatment characteristics.

Note that if β = n always, this equation matches Eq. (C.2) of the weakly penalized approach thus the convergence behavior of the two formulations should be the same.

In addition, the correctness of the equations is verified by showing that the natural frequencies from these equations match those from a finite element (FE) analysis.