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A more rigorous solution employs measure theory.
However, a more rigorous solution to the problem is possible, even for the case when mobility alone does not suffice.
A more rigorous solution to the same problem was provided by Sagar [ASCE, J. Hydraul. Div. 108, no. HY1 (1982) 47 62].
Similar(56)
Therefore a hybrid approach that treats each subset differently using the appropriate mathematical representation, discrete-stochastic, continuous-stochastic or continuous-deterministic, and then merges all the different realizations to produce a fast and accurate solution is a more rigorous approach.
A more rigorous study is being designed to answer these research questions more definitively.
A more rigorous uncertainty analysis of model calculations would account for the measurement uncertainty in the solution finding technique but that effort was beyond the scope of this paper.
A more rigorous demonstration of this requirement is still an open matter, and indeed rigorous proofs that particular solution types can only occur when three (or more) timescales are present have not, to our knowledge, been provided in the literature to date.
Third Way offers some promising solutions, like providing immediate student loan assistance to teachers who pass a more rigorous certification process, and rethinking pension portability.
Recent studies have shown that a more rigorous treatment of the charge and permeability distributions within the soft layers using a step function or numerical solution can successfully depict the heterogeneity [21, 41].
It will be revised next year after a more rigorous examination.
Other schools are taking a more rigorous approach.
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