While the connection presented by equation (2) is simple, there is a major problem with determining J ~ numerically.
The intraparticle diffusion model describes adsorption processes, where the rate of adsorption depends on the speed at which adsorbate diffuses towards adsorbent (i.e., the process is diffusion-controlled), which is presented by Equation 7.
The model presented by equation 1 (see Methods) delivers a response surface for the experimental design space, consisting of the predicted values of the response y in each point.
The principles of wood moulding are presented by analytical equations and results of experimental investigations on densification and compression set recovery.
The flows of non-Newtonian fluids are not only important because of their technological significance but also in the interesting mathematical features presented by the equations governing the flow.
Mathematically, this can be written as the scalar between the Gaussian and the image edge is always null as presented by these equations: G x, y, f ′ x, y = ∫ - ∞ + ∞ G x, y. f ′ * x, y dxdy (16).
This inference mechanism performs efficiently with a limited number of rules, otherwise the Sugeno algorithm [ 52] is a more suitable choice as the consequent part of the rules is presented by an equation as opposed to fuzzy sets.
Bearing in mind the adopted model assumptions, the control criterion was defined on the basis of diagram presented in Figure 2, whose general form is presented by the equation (2) ∫ 0 ∞ ε t d t = 0 ⟹ ∫ 0 ∞ w Z − Δ l d t = 0.
In [8], three different numerical methods were used to solve a singularly perturbed Able Volterra integral equation, presented by a fractional differential equation.
Typically, in CAD/CAM systems 3D geometry consists of 3D surfaces presented by the parametric equations (e.g. surface of revolution, NURBS surfaces) which are defined on a two dimensional domain.
