In cases where analytical solutions were unavailable, solutions were compared with those of the in-house post-processor P-FAT.
It is not "a purely mathematical question" whether the solutions that the computer provides close enough to the actual (but unavailable) solutions to be useful.
First, are the solutions that the computer provides close enough to the actual (but unavailable) solutions to be useful?…this is a purely mathematical question and falls within the class of problems we have just mentioned.
A hitherto unavailable analytical solution to the boundary value problem of free vibration response of shear-flexible antisymmetric cross-ply laminated cylindrical panels is presented.
A hitherto unavailable analytical solution to the boundary-value problem of the free vibration response of shear-flexible antisymmetric cross-ply laminated cylindrical panels is presented.
A hitherto unavailable analytical solution to the boundary value problem of free vibration response of shear flexible cross-ply laminated doubly curved panels is presented.
A heretofore unavailable analytical solution to the boundary value problem of free vibration of arbitrarily laminated moderately thick rectangular plates is presented.
A heretofore unavailable analytical solution to the problem of deformation of a finite-dimensional general cross-ply thick doubly-curved panel of rectangular plan-form, modeled using a higher order shear deformation theory (HSDT), is presented.
When cross-fostering is impossible and a mix of full and half siblings is unavailable, a solution may come from utilizing the variation in relatedness among pairs of full siblings, estimated using genome-wide genetic markers (Hill, 1993; Visscher et al., 2006).
Moreover, the evolving of the system infrastructures brings new anomaly types that cannot be generalized as existing ones, making the existing anomaly detection solutions unavailable.
