"Solid money for a solid problem.
The idea is to solve the full 3D solid problem separating the in-plane and the out-of-plane spaces.
This implementation employs a fixed mesh for the solution of the fluid problem and a Lagrangian formulation for the solid problem.
For instance, Pappus rendered the construction of the neusis a solid problem and solved it by means of conics in Book IV of the Collection, and Nicomedes rendered the construction of the neusis a line-like problem and devised the cissoid for its solution.
No cod science, no pretence of lasting change, just solid problem-solving for when one's face looks like an old slipper.
More impressively, in a different text from this same period, Descartes offers a method for constructing all solid problems, i.e., for solving all third- and fourth-degree equations.
This suggests an important overlap between Descartes' three classes of geometrical problems and Pappus's three classes, which, recall, were separated based on the types of curves required for solution: Planar problems are solvable by straightedge and compass, solid problems by conics, and line-like problems by more complicated curves that have an "inconstant and changeable origin".
In other words, it was not clear from Pappus's Collection whether these curves were admissible in geometrical problem-solving and therefore, whether solid problems (such as identifying the mean proportionals between given line segments) or line-like problems (such as trisecting an angle and squaring the circle) had genuine geometrical solutions.
Fuzzy inequality solid transportation problem is converted to parameter solid transportation problem by an appropriate choice of flexible index, and then the crisp solid transportation problem is solved by the algorithm (Cao in Optimal Models and Methods with Fuzzy Quantities, 2010) for decision values.
A solid transportation problem can be converted to a classical transportation problem by considering only a single type of conveyance.
First, a fuzzy inequality solid transportation problem has been converted to a parametric solid transportation problem using flexible index, and then the fuzzy inequality solid transportation problem has been solved by using the decision making technique.
