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According to the flow formula in fracture, the below equation can be derived through integral calculation.
The below equation can be used as a low approximation of the behavior factor (R) (Chopra 1998).
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To describe the aggregation rate of particles count based on the Brownian controlled and rapid coagulation, the general differential equation can be shown below: - frac{{text{d}c}}{{text{d}t}} = {text{k}_text{c}}^{alpha } (1 where α is the order of coagulation process, k is the coagulation rate constant in (L/mg·min), c is the total concentration of constituent particles in (mg/L) at time t (min).
The fluorescence response of the biosensor is approximately linear at concentrations well below the Kd value, whereas at higher concentrations a hyperbolic equation can be used for calibration.
Relying on any other equation can be lethal.
The correct equations can be found below and the original article of PDF version has been updated to reflect this change.
Other equations can be similarly explained.
More complex equations can be used.
Validity of the equation below can be shown analogously to [8] M = M ( 0 ) + ∑ n = 1 ∞ λ 2 γ n λ n 2 ( λ 2 − λ n 2 ).
The validity of the equation below can be seen analogously to [29]: M = M ( 0 ) + ∑ n = 1 ∞ λ 2 α n λ n 2 ( λ 2 − λ n 2 ).
The equations below can be used to obtain rXY from reported correlation and regression coefficients taking into account the possibility that either X0, log10 X0), X, Y0, log10 Y0) or Y was used for the originally reported statistic.
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