Sentence examples for explained by equation from inspiring English sources
This cannot be explained by Equation 7 since the calculated values are close with each other at different mass concentrations.
Thus, the absorption characteristics of N particles in a volume V against a film of a given thickness (L) according to the wavelength of incident light can be explained by Equation 3 as follows: T absorption = 0.2895 π NVL λ ϵ m 3 / 2 ∑ j 1 P j 2 ϵ 2 ϵ 1 + 1 − P j P j ϵ m 2 + ϵ 2 2 (3).
The representative points of populations with small sample sizes are around the borders, whereas the points for populations with large sample sizes are located near the zero point, as can be explained by Equation (30).
We used McFadden's pseudo- R (ψ R) to assess the amount of variability explained by equation (2); we found ψ R = 0.31, indicating reasonably strong explanatory power.
Note that the patterns of the matrix distances for IBS hap in Figure 7 are explained by equation (4) and Figure 2.
The good behavior of IBS hap for the decrease of its matrix distance in Figures 3 and 4 is totally explained by equation (4), where the sum of the concave polynomials decreases as the multiallelic LD increases.
The better behavior of IBS hap, compared to the other predictors in Figures 3 and 4, is explained by equations (3) and (5), which show that continuous predictions in [0,1] will deteriorate the decrease of the matrix distance with respect to LD.
The dramatic change of permeability can be explained by the equation [49] μ ' ∝ M s 2 a κ 1 + bλσ, Open image in new window (8).
The multi-layer adsorption is explained by Halsey equation very well; if the Halsey isotherm well fits the equilibrium data, the adsorbent is heterogeneous in nature.
The overall unloaded quality factor Q of the resonator can be well explained by the equation [15] Q^{ - 1} = Q_{text{d}}^{ - 1} + Q_{text{r}}^{ - 1} + Q_{text{c}}^{ - 1} = tandelta + alpha_{text{s}} + left( {beta R_{text{s}} /s} right) (1 where tanδ is the loss tangent of dielectric spacer.
Liquid mixing under the coexistence of large and small bubbles was also investigated and it was found that the gas holdup was fairly well explained by an equation derived on the assumption that the mixture of small bubbles and liquid behaves independently of large bubbles.
