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Step 2: For each level, the simplex function is called two times to compute minimized and maximized values of numerator and denominator objective functions.
The maximized values of the beam current density of 1.8 mA cm2 and average deposition rate of 5 Å/s were obtained at the conditions of the arc discharge current, source, extraction and bending magnet were 30 A, 1 A, 3 A and 3 A, respectively.
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Each point on the curves describes the maximized value of investment for every price of coal.
where k is the number of parameters in the model, N is the number of recording rate observations in the time series and lnL is the maximized value of the logarithmic likelihood function (equations 5 and 12).
So, (D_{i}) is an absolute value of difference between the profits obtained in the current configuration j and the possible maximized value of the profit for player i.
The maximized value of propylene is 8.93 wt% at C/O ratio of 5.44 (gas oil mass flow rate is 51.8 kg/s and catalyst mass flow rate is 282.0 kg/s).
In general, the maximized value of propylene is 8.95 wt% achieved at C/O ratio of 5.45, even though, an average of 7.70 wt% of gasoline is lost due to secondary reaction with much coke deposited on the catalyst.
An absolute value of difference between the gained profit in the current configuration j and the possible maximized value of the profit for player i. Cost (objective) function (sum of the differences between amounts of profit obtained in the current configuration (joint strategy:(vec{u})) with the maximal possible amount of profit for each producer.
where L is the maximized value of likelihood function for the estimated model, n is the number of data points, k is the number of free parameters to be estimated and λ is the penalty factor assumed 1 in our case.
Generally, AIC is expressed as:
The test takes the ratio of the maximized value of the likelihood function for the full model (L1) over the maximized value of the likelihood function for the simpler model (L0).
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