The solution set of the proposed algorithm is also stable, in the senses that: (i) the same set of solutions is found systematically; and (ii) the merit function values associated to those solutions vary smoothly from one solution to another one.
The (chi ^2) values for the same set of solutions are shown in Fig. 7a.
A vector (x^) solves (4.1) if and only if it solves the following variational inequality problem: find (x^in C) such that bigllangle nablapsibigl(x^bigr),y-x^ bigrrangle geq0,quad forall yin C. (4.2) By putting (F(x^,y)= langlenablapsi(x^),y-x^ rangle) in (1.1), we see that the variational inequality problem (4.2) and the equilibrium problem (1.1) have the same set of solutions.
(21 - 26 21 - 26 that the troprovesequathats of the unreduced model have tropical sequationsutiofs as the redunreducedl.
Method precision was investigated by repeatedly analyzing the same set of sample solution, the values of relative standard deviations (RSDs) were 0.40%, 0.27% and 0.20% (n = 5) for THSG, emodin and physcion, respectively.
Method precision was investigated by repeatedly analyzing the same set of standard solution (n = 5), and the RSDs of calculated concentration were 0.79%, 0.92%, 0.80% and 0.62% for luteolin, apigenin, psoralen and bergapten, respectively.
An interesting fact of the 3-user interference channel is that it induces a permutation structure and, consequently, the procedure described above leads to exactly the same set of IA solutions regardless of the user employed for starting the procedure.
We feed the same set of queries to heuristic solution and get average size of output.
For such a column generation approach, a starting solution with a set T containing all variables is feasible, i.e., all STRXs are mapped to the same set of frequencies; hence, the solution will have very high costs.
The relative fluorescence was quantified by normalizing the ratio of average fluorescence of noise-exposed hair cells to the average fluorescence of the unexposed hair cells from the same set of the experiment using identical solution and parallel handled.
