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The Hamiltonian is exactly solved in excited states as well as doped states, including all the correlation effects.
Such a system is exactly solved using the exponential matrix method which is calculated by means of an expansion with a very fast convergence ratio.
Using the obtained values of the PIS and the NIS of each objective function, the final MILP model is exactly solved for each numerical instances by the Lingo 9 software.
In order to study the vibrations taking place in the vicinity of a buckled equilibrium position, the linear vibration problem is exactly solved around the first buckled configuration of a hinged hinged FG beam.
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Both contracts are exactly solved.
The corresponding time-dependent Schrödinger equation can be exactly solved.
Equations are two sets of coupled equations which are exactly solved.
For the first time, equations are exactly solved for all classical combinations of boundary conditions.
The non-linear Arrhenius equation with respect to temperature can be exactly solved by introducing this non-linear heating function (integrating factor).
In [24, 25], all the one-dimensional reaction diffusion models with nearest neighbor interactions which can be exactly solved by EIM have been found and studied.
However, finding an optimal relay subject to the three constrains is an NP-complete problem that cannot be exactly solved in polynomial time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com