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Exact(18)
Hence, the analytical solution becomes a benchmark for any related numerical approximations.
If (DM_{11}) is satisfied with the obtained optimal solution, the solution becomes a satisfactory solution.
Finally, under suitable conditions, we show that the mild solution becomes a classical solution to problem (3.1).
Now we turn our attention to further conditions on f and g so that the mild solution becomes a strong solution and a classical solution.
In the combustion method, the calcium/copper/titanium/citrate aqueous solution becomes a viscous, transparent blue gel after the evaporation of water.
Good numerical properties and minimum MSE occur when the columns of these matrices are orthogonal, so that the LS solution becomes a matched filter.
Similar(42)
Hence, under the above assumptions, the sub-optimal solution becomes an exhaustive search.
In addition, the continuous-time solution becomes an excellent alternative to the discrete one when the number of available data is large.
Unlike forward SDE with given initial condition x 0, the terminal condition ξ is pre-specified in BSDE as a priori and its solution becomes an adapted process pair (x 0,z 0,z
In such cases, the continuous-time solution becomes an adequate alternative to the discrete one since it allows real-time processing and alleviates the overload problem assuring more reliable overall operation of the system [7].
A solution became a little more pressing in 1938, when oil was discovered in Burqan, inside Kuwaiti territory but just a few miles north of the neutral zone.
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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