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The KKT conditions for the storage-operation problem are:
We firstly derive the property of optimal solution in a semi-closed form, seeking for the relationship among variables by leveraging the Lagrange method and KKT conditions, and next leveraging the property to reformulate the primary objective function to a simple polynomial form, which can be solved more easily and faster.
Jane Cabaya, the administrator of KKT and a leader in the Filipino community, sought my attention in the hope of understanding Lolo Ernesto.
Dr Aslam Khan, founder and chairman, explained what inspired him to start KKT Orthopedic Spine Center which was founded in Canada in 2003.
For example, the KKT system consists of a sub-block matrix corresponding to the second derivatives of the Lagrangian function, which is called the Hessian matrix.
Patients were randomly divided into the KKT group or the KSS group using a simple envelope randomization method.
This last further feature contributes to form the well-resolved doublet that is visible in the 1490-1420 [cm.sup.-1] region of the KKT spectra.
The deceptive unilaterality did not favor a KKT at the outset since more than 80% of the KKTs were bilateral.[sup] Moreover, the low power microscopic appearance coupled with the characteristic young age of the patient furthermore buttressed our opinion of YST.
Similar to , formula (7) can be solved by the KKT condition.
A point [x.sup.*] in F is called a KKT point of problem (1a), (1b), (1c), and (1d), if there exits [[[lambda].sup.*] such that the following KKT conditions hold:
Wolfe  modified the simplex method to solve quadratic programming problems by adding a requirement Karush-Kuhn-Tucker (KKT) and changing the quadratic objective function into a linear objective function.
 extended and generalized these concepts to fuzzy mappings of several variables using the approach due to Buckley and Feuring  for fuzzy differentiation and derived the KKT conditions for the constrained fuzzy minimization problems.
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