Empirical formulas to model the main propagation characteristics were proposed and applied to generate transfer matrices of an MIMO link.
Short et al. [27] and the subsequent derivative research solely used mathematical formulas to model crime in their ABM's.
Moreover, we provide analytical formulas to model the behaviour of the apparatus in the transient regime, keeping into account eddy current effects and the finite penetration velocity of the driving fields.
In particular, we provide analytical formulas to model the behavior of the apparatus in the transient regime, keeping into account eddy current effects and the finite penetration velocity of the driving fields.
Simple design formulae to model the results for the H2 norm are proposed and positively verified through broad numerical experimentation which compared the seismic response of asymmetric systems to synthetic and real excitations for different design strategies in a plan-wise arrangement of supplemental damping.
The approach uses permutation and combination formulas to model the information needed to encode proteins for simple organisms like viruses, bacteria and other single celled organisms; and also extends the method to compute the information needed to produce differentiated cells and to construct spatial structures formed by the cells in higher organisms.
As suggested in the publication, the Arrhenius equation (2) was then used as secondary model formula to create a model for the change of the first-order rate constant k with temperature (2) k = B e − E a / R T, where B is an empirically determined constant, E a is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
And finally, one defines a formula to be model-theoretically valid just in case it is true in all structures for its language (with respect to all infinite sequences).
In this paper, we study the time fractional case and use an efficient class of finite difference methods based on the Hermite formula to solve this model.
We used the following formula to fit this model using the lme4 package in R (Baayen et al., 2008): lmer(Trait ∼ Genotype*Environment*Treatment + (1|Plot(Treatment:Environment))).
