Because the computational domain is a sphere, solutions to the linearized equations can be represented as a series solution in terms of spherical harmonics and a modified Bessel function of the first kind.
In this model the circadian component that has a dynamic characteristic is represented as a perturbation solution of the van der Pol equation and the thermoregulatory response in the data that has a stochastic characteristic is represented as a first-order autoregressive process.
And this, in turn, means that you need to look very closely at any proposals coming from the usual suspects, even — or rather especially — if the proposal is being represented as a bipartisan, common-sense solution.
The Cholesky decomposition, represented as a multivariate correlated factors solution (Fig. 1a), was used to examine the genetic and environmental relationship between mindfulness, depressive symptoms, and anxiety sensitivity.
Herein we assess the ability of the obstruction-scaling model to provide reasonable estimates of solute diffusion coefficients within hydrogels, as well as the assumption that a hydrogel can be represented as an entangled polymer solution of an equivalent concentration.
Moreover, solutes diffusing in both sodium alginate solutions and hydrogels were demonstrated to experience the same degree of solute mobility restriction given the same effective polymer concentration, supporting the assumption that a hydrogel can be represented as an entangled polymer solution of equivalent concentration.
If the best offspring solution outperforms the parent solution (which is the case of Figure 1.d with the best offspring solution represented as a star), the replacement (or update) is carried out.
This experiment presents designers with an example solution represented as a function tree and a sketch, we compare how these different external representations influence design fixation as they complete a design task.
A solution can be represented as a binary vector which denote the variables present in the dataset, with the length of the vector equals to n, where n is the number of variables.
Each candidate solution is represented as a string of 1s and 0s which length is m.
