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The material in Section 6 is entirely new.
This paper is organized as follows: After the presentation of some notations and auxiliary material in Section 2, we present in Section 3, the reduction of the Robin problems in bounded and unbounded multiply connected regions to the RH problem.
In fact MWB ( G ) is the number of distinct terms in the set D S ( G ). (At this point, we should note that although this new index is denoted by t ( G ) in the paper [11], we prefer to denote it by MWB ( G ) not to make any confusion with the material in Section 4 of this paper).
After giving background material in Section 2 we introduce ominous substrings in Section 3. Section 4 describes how to detect the set of all ominous substrings of a permutation efficiently while Section 5 presents the algorithm.
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The material in Sections 22.1 22.3 is related to objectives, guidance, test methods, and data management.
The details of the simulation and the performance evaluations are reported in Supplementary Material in Sections 3 and 4. In general, the results are in agreement with those shown previously.
After presenting some auxiliary materials in Section 2, we present in Section 3 the mixed boundary value problem in unbounded multiply connected regions.
In additional file 1: supplementary materials in section C examples of fitting of experimental data by means of ODE Solver, Explicit Solver and Implicit Solver are presented.
These steps are described in details in additional file 1: supplementary materials in section A. Table 2 represents results of the comparison of DBSolve Optimum visualization functionality with that of other similar software packages.
In additional file 1: supplementary materials in section C an example of calculation of Succinate thiokinase initial rate dependence on the concentration of its substrates and products is presented.
In additional file 1: supplementary materials in section C an example of calculation of time dependence of NADH (Nicotinamide Adenine Dinucleotide (reduced form)) production by α-ketoglutarate dehydrogenase reaction is presented.
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