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Kantorovich realized that the problem of maximizing the distribution of raw materials could be solved in mathematical terms.
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The structure equations are so simple that they can be solved in explicit mathematical terms.
Note that in (30), f cannot be solved in a closed mathematical form.
Although this optimization can not be solved in polynomial time, but the mathematical formulation can help us estimate the problem characteristic and figure out the firmness of it.
They're meant to be solved in their heads, and to promote both giggles and mathematical thought.
A mathematical problem is computable if it can be solved in principle by a computing device.
The differential equations along with the auxiliary equations and boundary conditions were solved in POLYMATH (an established mathematical software) using RKF-45 (Runge Kutta-Fehlberg-45) Runge Kutta-Fehlberg-45on values of acetic acid in both the continuous (wateRunge Kutta-Fehlberg-45ene) phases weroutineined andfive different points in the concentration
The mathematical model was solved in CFX 11.0 (Ansys Inc).
A mathematical model has been solved in parallel.
To estimate CVD or FDD from recorded CAPs, the problem could be solved by an inverse mathematical procedure to find weighting coefficients in terms of recorded CAPs.
Then, the problem is calibrated as follows for estimating the upper bound of the capacity of human memory: Open image in new window (50)However, the problem is yet still very hard to be solved analytically because the factorials in the mathematical model are too huge to be calculated by any modern computer.
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