As long as the trajectory is far away from the kernel's boundary, the control is kept to zero; when it approaches the boundary, the control that brings the system away from the boundary
This 50 meter boundary corresponds approximately to the maximum depth that normal storm waves reach to disturb the benthos significantly.
The methodology as it stands enables the design engineers to draw "boundary" Pareto curves corresponding to the maximum and minimum levels of heat integration for all operating points achievable by the process.
The airway boundaries are assumed halfway to the maximum on the lumen side, and halfway to the minimum on the parenchymal side [ 17, 18].
In both formulations, the optimum contours, besides a two-sided extremum segment, may contain a cylindrical generator — a boundary extremum segment with respect to the maximum admissible radial coordinate.
Since harmonic functions that are continuous to the boundary satisfy the maximum principle [17], we obtain the uniqueness by the standard argument for linear differential equations satisfying the maximum principle.
Conditions of each of the assertions 1 4 of Theorem 4.2 lead us to the maximum boundaries principle and consequently to the inequality which contradicts to the existence of the nontrivial solution of the homogeneous problem.
In processing AST-seq data, which had very high coverage per SNP (generally >10), we used equivalence testing and rejection of equivalence as the test for BAE and MAE with equivalence boundaries of 2 1 bias (corresponding to the maximum likelihood estimate parameter value of less than 0.33 or more than 0.67).
The proposed program has an additional boundary condition: to achieve the maximum flux recovery without scaling due to the precipitation of sparingly soluble mineral salts (e.g., silica (SiO2), calcium carbonate (CaCO3), calcium sulphate dihydrate (denoted simply as CaSO4), barium sulphate (BaSO4), strontium sulphate (SrSO4) and calcium fluoride (CaF2)).
The Results of this investigation can lead us to choose the most optimal stacking sequence for giving boundary conditions to achieve the maximum fatigue life.
