Sentence examples for constant combining from inspiring English sources

(3.21) Since ({operatorname{Ker}L}= {R}^{2}), and (uin {R}), (vin {R}) are constant, combining with the first equation of (3.21), we obtain v=0< rho.

end{cases} (3.20) Since (ker L=mathbb {R}^{2}), and (uin{ mathbb {R}}), (vin{ mathbb {R}}) are constant, combining with the first equation of (3.20), we obtain begin{aligned} v=0< rho_{ 1 }

The summation for the PRE of a nucleus immersed under the solvent-exposed surface, such as a micelle, yields Equation (16):[ 34b] (16) in which d is the distance to the closest point on the surface, l accounts for the solvent layer and radius of the paramagnetic probe, k is a constant combining terms from Equations (3) or (4) with the probe concentration.

for some positive constant Combining (3.22) and (3.23), we have (3.24).

Three different weaves thicknesses were investigated: 12.7 mm, 6.4 mm, and 3.2 mm, with manifold thicknesses of 12.7 mm, 19.0 mm, and 22.2 mm, respectively, to provide a constant, combined weave-manifold thickness of 25.4 mm.

The solvatochromic equation is used for the prediction of the rate constant combined with a preferential solvation model, while the group-contribution volume translated Peng Robinson is used for the phase equilibria.

The fine-structure constant is an amalgamation of the speed of light, the charge of the electron, and the quantum-mechanical number known as Planck's constant; combined, they provide a measure of the inherent strength of electromagnetic interactions, such as those that bind an electron to an atom.

By using the overall rate constant combined with the variable reaction order, a simple model can be built up for prediction of curing kinetics of thermosetting polymer in both the chemical and the diffusion controlled regions.

The infinite dilution rate constant, combined with e-NRTL based activities of CO2 and hydroxyl ion, predicted the CO2 absorption fluxes within 14% AARD showing that the proposed approach can be used for prediction of activity based rate constants and the CO2 absorption flux for any system involving the reaction of CO2 with hydroxyl ion.

In fact, a 6× higher rate constant (combined with biological consumption of any produced NO) would be required to attribute observed Fe(II) oxidation to purely chemical processes.

If, for a certain segment of the wellbore, U a, c p, η l, g e, θ, v ldv l/dl and dp/dl can be approximately constants, combining Eqs.