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Care has been taken that only feasible points are used in the case where bound constraints are imposed on the variables.
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The constraint imposed on the decision variables is cracking.
Proof The essential difference between this lemma and Lemma 3.3 is the different truncation levels are imposed on the random variables { X n, n ≥ 1 } in two lemmas.
Boundedness can be guaranteed by using a consistent approach with respect to the constraints imposed on the transport variables, such as dispersed phase volume fraction.
This is important because the toe-end of the well may still fall outside the reservoir even if the lower and upper bounds imposed on the optimization variables are met.
In the presence of bounds imposed on the state variables, the accuracy of the first two moments of the initial state distribution and prior distribution namely the means and covariance matrices, plays a significant role in the extended Kalman filter performance.
It is shown that the disturbance imposed on the decision variables can be made significantly small by appropriate adjustments to the observer bandwidth, and that most of the sensor faults and actuator faults can be detected and some of them can be isolated in the frequency domain by setting the frequency characteristics of the post-filters appropriately.
The fully conditional specification imputation method was used with five imputations; the maximum number of parameters in the imputation model was one thousand; and constraints were imposed on the age variable (i.e., in accordance with original data, the minimum age was 16 and the maximum age was 112).
In what follows, we want to elaborate an alternative existence and uniqueness result with weaker conditions than the Lipschitz continuity imposed on the second variable of the nonlinear forcing term f.
Missingness was imposed on the X variable at rates of 20%, 50 % and 80.
Industrial marketing planning is a typical example of an unstructured decision making problem due to the large number of variables to consider and the uncertainty imposed on those variables.
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