When initially assessing a method or equation, simplified test runs and plots using test data (whether simulated or subsets of real data) should be considered to ensure the method behaves as expected before use.
Mathematical procedures such as calculation methods or solving equations should in turn involve statistics to substantiate or justify.
In most cases, commercial software for finite element methods or experimental equations for individual parts are utilized for the design and evaluation of the suspension systems.
On the other hand, the use of formalisms which do not require hard formalizations of expert knowledge (such as to transform them into probability distributions or algebraic equations) permits to eliminate one of the strongest limitations of classical knowledge-based methods and other prior knowledge based methods (such as bayessian methods or structural equations).
AUC: area under the ROC curve; Bm: average regression weight; Bs: regression weight in the selected model; CI: confidence interval; DHI: Dizziness Handicap Inventory; GP: general practitioner; ICE: iterative chained equations method; OR: odds ratio; R: proportion of variance; ROC: receiver operating characteristic.
These processes are traditionally simulated using either Monte-Carlo methods or integro-differential equations for particle number density functions.
The developed discontinuous Galerkin approach avoids the need for mixed finite element methods, coupled equations or interpolation functions with a high degree of continuity that have been employed in the literature to treat the fourth-order spatial derivatives.
Since any two boundary integral equations in the plate formulation (four equations) can be chosen, 6(C42) options are considered instead of only two approaches (single-layer and double-layer methods, or singular and hypersingular equations).
Volcanologists typically use empirical methods or a range of equations for particles of different sizes, based on the Reynolds Number (Bonadonna et al., 1998).
This polynomial can approximate any stationary random sequence of observations and can be computed by either adaptive methods or system of Gaussian normal equations [7].
