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The high complexity of this problem makes it impossible to be solved in practice with commercial software.
Actually, the optimal coordination control for MASs depends on the solutions to the coupled Hamilton Jacobi Bellman (HJB) equations which are almost impossible to be solved analytically.
The linearized LCUC problem still contains lots of random variables introduced by wind power uncertainty, which is impossible to be solved directly.
It is known that the nonlinear optimal control problem relies on the solution of the Hamilton Jacobi Bellman (HJB) equation, which is a nonlinear partial differential equation that is generally impossible to be solved analytically.
It is well known that the nonlinear optimal control problem relies on the solution of Hamilton Jacobi Bellman (HJB) equation, which is a nonlinear partial differential equation and impossible to be solved analytically.
Measurement errors of exposure to air pollution and potential confounders usually exist in air pollution epidemiological studies and it is impossible to be solved in most air pollution studies [ 66].
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"It's not an impossible problem that is too big to be solved.
Such joint optimization of multiple competing optimization problems is very difficult, if not impossible, to be modelled and solved with traditional multi-objective optimization methods.
Problems that seemed impossible can be solved.
Problems that had begun to seem impossible in 1970 have been solved and the solutions are now used in successful commercial products.
As a result persistence theory cannot be applied, and it is impossible to explicitly solve the general system or to precisely determine the long term behavior of the solutions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com