Sentence examples for following compatibility from inspiring English sources

Studying four isomeric sugars, we found the following compatibility order with ice: d-galactose > d-glucose > d-mannose > d-talose.

Assume also that the following compatibility conditions hold for the initial data: (1.9).

Since E j = ∂ t ω j-1 ∇ϕ j, we need the following compatibility conditions on (E j, B j ): (2.21).

In addition, following the singular surface theory, we have the following compatibility condition d f dt = f t + U f x, Open image in new window (2.3).

There always exists a Riemannian metric g on M ¯ satisfying the following compatibility condition: η ( X ) = g ( X, ξ ), g ( ϕ X, ϕ Y ) = g ( X, Y ) − η ( X ) η ( Y ), (2.2).

We also assume that the following compatibility condition holds true: ∃ ( ∇ π 0, g ) ∈ L 2 such that ∇ π 0 − Δ u 0 + ∇ ⋅ ( ∇ d 0 ⊙ ∇ d 0 ) = ρ 0 g in Ω.

By taking k –points we get the following wished compatibility, namely.

Furthermore, since the insurer cannot observe patient severity, the optimal contract must satisfy the following incentive compatibility constraint for each i=L,H and each j=p r,p u: {w_{i}^{j}} + theta_{i} {e_{i}^{j}} - frac{1}{2}{e_{i}}^{j}}}^{2} ge w_{tilde{i}}^{j} + theta_{i} e_{tilde{i}}^{j} - frac{1}{2}{e_{tilde{i}}^{j}}^{2}, i neq tilde{i}.qquad I{C_{i}^{j}}.

As will be demonstrated in the following, spectral compatibility of the probe with the pH indicator and the red LED is essential for application in the multi-analyte sensor so that Cr-YAB is an evident choice here.

In order for the two domains to be solved together, the following displacement compatibility and traction equilibrium equations must be satisfied: (8) τ s · n ^ s = τ f · n ^ f     x, y, z ∈ Γ FSI S ∩ Γ FSI F, (9) d s = d f     x, y, z ∈ Γ FSI S ∩ Γ FSI F, where ΓFSI S is a set of points on the arterial wall and ΓFSI F a set of points on the lumen.

To ensure compatibility following the dispersion of clay in distilled water, a clay suspension was prepared and amended with 10, 20, 30, 40 or 50 wt% of the modifier materials "silane".