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The associated particle-fluid system is more complex and requires approximate solution methods.
The reliability analysis of large and complex structural requires approximate techniques in order to reduce computational efforts to an acceptable level.
The complexity of the model requires approximate inference.
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To derive the beamforming solution for AF requires approximating the optimization objective by using the Taylor series expansion, while the solution for DF is obtained much more easily.
Variational learning requires approximating the joint distribution of the model in Equation (4) by a factorising Ansatz (6) Jensen's inequality allows obtaining a lower bound on the log marginal likelihood of the DAG.
Numerically solving Equation (2) requires approximating the value of the variable (C2) after an increment in time (t2 – t1) based on the previous value (C1) and the implied rate of change (–CL/V* C1): An initial value is needed for this process (to give the first value for C1, see Equation (2)).
We found that LC3-II formation was in a time-dependent manner and it required approximate 3 h to reach maximum.
The achievement of Ireland's renewable energy targets requires an approximate doubling of installed onshore wind capacity by 2020.
The VNE problem is known to be NP-hard and thus requires an approximate algorithm as a solution.
Automated currency condition screening requires an approximate model of the way human experts classify bank notes in terms of their fitness to be loaded into Automatic Teller Machines (ATMs).
The COP of the system decreases with the increase of xH, and it requires an approximate value of 2.6 for the optimum xH.
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