Sentence examples for constants with the values from inspiring English sources

Intrinsic viscosity was then used to calculate the molecular weight of polymers based on Mark Howink constants with the values of K and a being 1.81 × 10−3 and 0.93, respectively (Ramos et al. 2003).

where J is the current density, E is the applied field strength, A and B are constants with the values of 1.56 × 10-10 AV-2 eV and 6.83 × 103 V eV -3/2 μm-1, respectiV eV -3/2s the work function of the emitter which was taken as 5.4 eV for ZnO from the literature [35], and β is the so-called field-enhancement factor, which reflects the ability of the emitters to enhance the local electric field.

Substituting equation (10) into equation (9) and performing an inverse Laplace transform results in: (11) f (t ) = A 1 + A 2 e − D n t + A 3 e − (D n + S f ) t + A 4 e − D m t + A 7 e − ε ω n t sin ⁡ (ω n 1 − ε 2 t + φ ) where A1, A2, A3, A4, A7, and ϕ are constants with the values given in 'Additional file 2'.

The drug's pharmacodynamics effect can be expressed as the following transfer function [ 35]: (2) G 11 s = K 1 1 + T 4 s e − τ 1 s 1 + T 1 s 1 + T 2 s 1 + T 3 s, where τ1 is a dead time (time elapsed until the drug takes effect), K1 is a coefficient, and T1, T2, T3, and T4 are time constants with the values: τ1 = 1 min, K1 = 1, T1 = 4.81 min, T2 = 34.42 min, T3 = 3.08 min, and T4 = 10.64 min.

where J is the current density; E is the local field strength; ϕ is the work function, for electron emission which is estimated to be 5.4 eV [22] for α-Fe2O3; A and B are constants with the value of 1.54 × 10−6 A V−2 eV and 6.83 × 107 V cm−1 eV−3/2[21] respectively.

We also need to provide the approximate analytical solutions for A x), A' (x), B x) and B' (x), which are derived in Appendix A. For the purpose of this comparison we assume the parameters of viscosity μ, density ρ, nanotube length L and pressure upstream P 0 and downstream P L are constant with the values as given in Table 1.

The estimated free enzyme rate constants match with the values reported in the literature, while turnover numbers are correlated with the catalase concentration.

The real and imaginary parts of dielectric constants calculated with the values of extinction coefficient (k) and refractive index (n), are found to vary with photon energy and dopant concentration.

Comparison of the calculated dose rate constant with the value presented by Meigooni et al. shows a very good agreement.

The speed of the sonic wave is assumed to be a constant with the value of 0.312 km/s taken from Nagasawa and Miura (1987).

The crystallite size, L (nm) was determined according to the Debye Scherrer equation (Eq. 1) (Holzwarth and Gibson 2011): L = frac{Klambda }{beta cos theta } (1 where K is a constant with the value 0.89, (lambda) is the characteristic wavelength of the X-ray source, β is the full width at half maximum (FWHM) and θ is the angle diffraction.