Sentence examples for a corresponding equation from inspiring English sources

In zone 2 (O and P samples) it was impossible to write a corresponding equation due to parameter interactions; also, the model proved inadequate.

In those situations where Schema R can be said to hold, it is likely not the case that every equation or formula from Tf will yield a corresponding equation of Tc.

Considering characters of the geometric and physical boundary conditions which are different from previous studies, a new mathematical equation for the infinite isostatic lines of the compression (ILC) is obtained and a corresponding equation of transverse stresses distribution is derived.

Data points are expressed as mean ± S.D. The ratio of the plasma to blood concentration was fitted by a single-phase exponential decay (Figure 2b) with R2 = 0.9374 and a corresponding equation (Equation 3): C pl C bl = 0.6007 ∗ e − 0.4559 * time min + 1.116.

On comparing the BI prediction equation, with highest prediction quality "Method 1", that was developed based on ultrasonic elastic moduli with a corresponding equation based on sonic well-logs elastic moduli, Method1 was proven applicable to estimating BI based sonic frequency elastic moduli.

The reduction of the neural master equation (1) to a corresponding Langevin equation (16) then leads to multiplicative rather than additive noise terms; this is true for both intrinsic and extrinsic noise sources.

A comparison with the corresponding equation proposed by DNV-OS-E301 is given.

Then, by applying some simple constraints, on the terms included the mass function, we construct the mass function in such a way that the corresponding equation can be solved via the Laplace transformation method of [40, 43].

Furthermore, an analytical model and corresponding equation for predicting the ultimate resistance of PBL connectors with shear failure of the dowel are proposed, and the feasibility of the developed equation has been verified by the experimental results from related references.

Then there exists a nondecreasing sequence of nonnegative {λ n } of (2.1) obtained by using the L-S principle such that λ n = 1 μ n − 1 → + ∞ Open image in new window as n→+∞, where each μ n is an eigenvalue of the corresponding equation F ′ ( u ) = μ G ′ ( u ) Open image in new window that satisfies μ 1 ≥ μ 2 ≥ ⋯ ≥ μ k ≥ ⋯ > 0, lim k → + ∞ μ k = 0 Open image in new window.

In [1], the authors have shown the existence of a weak solutions for the corresponding equation, the function a x, t, s, ξ) was assumed to satisfy a polynomial growth condition with respect to u and ∇u.