Unfortunately, unlike many linear equations, these nonlinear equations are generally not solvable in closed functional mathematical form.
The existence of a global 1-form and its uniqueness implies that these singular holonomy groups are also solvable.
The limit 4 0, associated with an ' adiabatic dynamics ' of the acoustic waves, is exactly solvable.
This is an ellipsoid-based algorithm whose separation problem is the minimum circuit problem on series-parallel mixed graphs, which we show to be polynomially solvable.
Any finitely generated solvable group with exponential growth has uniformly exponential growth.
The resulting linear equations would be easily solvable using the specific tridiagonal structure.
Therefore, our compilation is complete but incorrect: it may yield a solution for a matching equation that is not solvable.
Consequently, there are planning problems solvable by conditional planners but not by conformant planners.
