The product PU functions constructed by this method are the closed form smooth piecewise polynomials with flat-top and could handle background meshes (general polygonal patches as well as general polyhedral patches) arising in practical applications of meshless methods.
The lower bounds are in the closed form, so they can be easily used to show the system performance.
Thus activation requires a transient dimerization (Mapelli et al, 2007; Yang et al, 2008) that occurs at the unattached kinetochore, in which Mad2 is in the closed form bound to Mad1 (Mapelli et al, 2006).
It is shown that the closed form solution is computationally more efficient than a finite element solution.
Certain specific examples pertaining to various geometrical configurations have been considered and the closed form solutions have been found.
However, the solutions to such problems are very rare, specially if one is interested in the closed form solutions.
The simulations show that good estimations of vapor descriptors can be obtained by using a closed form estimation approach that is similar to the closed form solution for purely mass-transducing sensor arrays.
The numerical results were approximated by the closed form formulas.
The proposed design procedures are convenient with the closed form design equation.
