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Indeed, considering that the pores present a cylindrical shape, an equation was developed that uses specific pore volumes, theoretical density, and specific surface measurements to evaluate structural connectivity.
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"It doesn't really have a shape or an equation or formula," Hererra explains.
We considered Poisson spike statistics and used a bump-like tuning shape Ω (Equation 26, 'Materials and methods' section).
Similarity is measured with the shape Tanimoto equation (Eq. 2); unlike 2D, an estimate of molecular volume overlap is used, instead of bit counts.
The formula represents a general form of the Parabolic Bay Shape Equation (PBSE) with modified coefficients as a function of both the wave obliquity and the net littoral drift rate passing through the bay (Q).
The mode shape differential equation is linear with variable coefficients.
Forsgreater than 0, the mode shape differential equation is linear, fourth order with variable coefficients.
The general solution of the mode shape differential equation is expressed as the superposition of four converging polynomial functions.
The solution to the mode shape differential equation is expressed as the superposition of four independent functions.
The three morphological parameters that shape the equation are related to the nearshore wave climate (Hs and Tp) and the sediment characteristics (d50) in a form which is consistent with previous knowledge of dry beach morphodynamics, thus proposing the runup driver (HL 1/2 and the dimensionless fall velocity Ω as the fundamental variables defining the equation parameters.
Consequently, for every single point in time, the shape of Equation (5) is determined by the parameter PDF, the choice of model [ Equations (1) and (2)] and stimulus time course (=experimental design).
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