Sentence examples for equation shown below from inspiring English sources
The algebraic equation shown below characterizes the power extracted [23].
The Varshni empirical equation shown below can be used to fit the range of blue to red shift of the S-shape variations [19 21].
The crystallinity index (CrI) was determined based on the equation shown below [30]: C r I = I 002 − I am I am × 100.
In this case, both IFEM-1 and IFEM-2 reduce to the same update equation shown below: P l n ( t + 1 ) = w lk ∑ j ≠ l w j k ″ | h ij k ″ n | 2 σ 2 + ∑ i ≠ j P i n ( t ) | h ij k ″ n | 2 0 S max (17).
The porosity of the reservoir was calculated using the equation shown below: emptyset_{text{TD}} = frac{{left( {rho_{text{ma}} - rho_{text{b}} } right)}}{{left( {rho_{text{ma}} - rho_{text{f}} } right)}} (1 where (emptyset) TD = (emptyset) T = total porosity estimated from density log; ρ ma = matrix (or grain) density; ρ b = bulk density; and ρ f = density of the fluid.
Expressions in Eq. 3 can be substituted in Eq. 1 to allow the derivation of the biharmonic equation, shown below as Eq. 4: Dleft( {frac{{partial^{4} w}}{{partial x^{4} }} + 2frac{{partial^{4} w}}{{partial x^{2} partial y^{2} }} + frac{{partial^{4} w}}{{partial y^{4} }}} right) = q,quad Dnabla^{2} left( {nabla^{2} w} right) = q (4).
Where the Weibull parameters k and c are given by the equations shown below: k = σ V ¯ - 1.0.
Following [3], we can manipulate the above equations to obtain the input demand equations shown below, X j = X ( P x, P y, P z, I j, μ j ) (4).
Shown below is the chemical reaction used to model tobermorite (Equation 5).
This phenomenon may be explained as follows: while the temperature decreases, either the oxide formation or chemical dissolution is decelerated, which directly induces the reducing of thickness of both main and branched channel layer (d1 and d2), furthermore the Bragg wavelength, λm, (m is the order of the Bragg condition), will become diminished according to the equation shown as below [14]: (1).
The equation is shown below.
