Sentence examples for using these equations to from inspiring English sources

That means they can be described by relatively simple (and accurate) equations.The matter of the heartDenis Noble, a physiologist at Oxford University, began using these equations to model heart cells almost 30 years ago.

We compare MTBF estimates obtained by using these equations to estimates gathered from comprehensive simulation analysis, and show that error terms are not insignificant.

Using these equations to substitute the variables x j in s m+1, we obtain an equation s_{m+1} = f_{1}(c_{j,ell})v_{1} + f_{2}(c_{j,ell})v_{2} + ldots +f_{n}(c_{j,ell})v_{n}, where f 1,f 1,…,f n are polynomials in the binary variables c j,ℓ, 1≤j≤m, 1≤ℓ≤n ′.

Even though the deviations calculated from equations (22) and (23) seem reasonable, one must be careful when using these equations to interpolate values for R o.

He used these equations to solve problems in differential geometry, complex analysis, and fluid dynamics.

Conventional banks could use these equations to justify loans and trades and assess the likely profits, always keeping an eye open for potential trouble.

We use these equations to describe the fast subsystem.

We use these equations to plot an example of increased strip temperature near an edge in Fig. 1.

Biologists use these equations to model the achievement of stochastic changes in reproduction on population processes [2, 3].

The procedure to use these equations to estimate the structure of the green ash shelterbelt either in three dimensions or in the width and height dimensions is demonstrated.

We use these equations to model the current response of films of CO-dehydrogenase, a metalloenzyme that catalyzes the oxidation of CO, to transient exposures to its gaseous substrate.