Exact(2)
First of all, the choice has to satisfy the limitations on the probability amplitude, yielding the corresponding probability limited above by unit (the sum of all the modules squared of the introduced amplitudes equals unit probability).
With a certain probability limited by the number of tip cells per capillary, a probability defined by the variables tipNumber and tipNumberFrac (Table S1, see Additional file 1), a sprout may originate from one of these activated nodes.
Similar(58)
Such fluctuations can produce an increase in the link error probability limiting the performance of communication systems.
These simulations suggested that use of a threshold value based on the upper probability limit balanced the low sensitivity of the diagnostic methods and improved survey performance, compared with basing decisions on prevalence estimates.
Samples from the posterior distributions were summarised on a maximum clade credibility (MCC) tree with the maximum sum of posterior probabilities on its internal nodes using TreeAnnotator v1.6.1 [ 67] with the posterior probabilities limit set to 0.5 to summarise the mean node heights.
A probability limit is then applied in order to predict a likely average minimum performance criterion.
The formulation of single or joint probability limits incorporates the issue of feasibility and the contemplation of trade-off between robustness and profitability regarding the objective function values.
By the probability limit theory, the uniform stability of the closed-loop system and the upper bound of the corresponding index values are obtained.
Next, we evaluated per annual time-step the probability distribution defined by the 2000 solutions (95% probability limits using the 2.5th and 97.5th percentiles, 90% limits with the 5th and 95th percentiles, and 68% limits using the 16th and 84th percentiles).
Normal distribution functions, which approximate the actual distribution of the worst-case variability, are used to estimate the largest variability expected for the process variables at a user-defined probability limit.
This paper investigates the application of stochastic nonlinear model predictive control (NMPC) to a thin film deposition process in the presence of model-plant mismatch while ensuring constraints at a specific probability limit.
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