However, since the Gibbs sampler needs theoretically an infinite number of sweeps to converge, its finite application will provide an approximation of the optimal MWM solution.
We account for finite strains and application of load, both internally, at the cavity wall, and at the external surface.
Our theoretical analysis of the effects of the atmospheric load on infragravity waves is based on modeling the ocean surface as a boundary with finite impedance and application of the recently developed perturbation theory (Godin 2012) for normal modes of acoustic-gravity waves.
A system is controllable if it can be moved from one state to another through the system state space in a finite time by application of control inputs.
In contrast to existing ODF schemes based on series representations of the ODF, the tools proposed are based on a piecewise polynomial finite element representation, permitting the application of existing finite element technology to quantitative texture analysis.
The result readily applies to finite-dimensional applications of fixed point iterations in many fields, mainly in relation to a set of difference equations but, to the best of our knowledge, has been previously overlooked.
Brouwer ascribed the belief in the general validity of PEM to an unwarranted projection from such finite cases (in particular, those arising from the application of finite mathematics to everyday phenomena) to the infinite.[6] The explicit observation that ¬¬(A ∨ ¬A) means that no absolutely unsolvable problem can be indicated was made in Heyting 1934 (p. 16).
The semiparametric group-based approach constitutes an example of an indirect application of finite mixture modeling because a finite number of groups is used to approximate a complex distribution.
The complexity of the problem usually requires the application of finite element methods.
The performance is characterized through the application of finite element method and Bloch theorem.
