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That law gives courts the authority to issue orders necessary for it to fulfill its judicial role and enforce its decisions.
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She is striving to develop a teaching style that preserves her liveliness and creativity while maintaining the order necessary for instruction.
"At what point do we begin physically removing Democrats and Communists to establish and maintain the libertarian social order necessary for our desired meritocracy?" he shouted into a microphone.
On the other hand, the results point out that the lack of rules for determining the proper multipole order necessary for a desired precision may constitute a handicap for the user.
Despite early concerns over the ability to map meaningful response traits in LCLs and questions about this model's relevance to toxicity studies of chemicals that require metabolism, our results suggest that large sample sizes on the order necessary for mapping human complex traits (Goldstein 2009)—can overcome challenges.
Align the untwisted wires in the order necessary for your needs.
We consider here the second-order necessary conditions for optimality [[18], Chapter 11.5] of problem (36).
The higher-order necessary conditions for optimality (see Definition 5) state that an optimal singular control can only appear explicitly within an even derivative.
We show the existence of solutions, and then derive first order necessary conditions for optimality in the form of optimality systems.
In indirect approaches, the Pontryagin Maximum Principle (first-order necessary condition for optimality) is applied to the optimal control problem in order to express the control as a function of the state and the adjoint.
Since for all is concave with respect to and one has Using hypothesis (iii) with gives and using hypothesis (iii), the first order necessary condition for the optimality of is Thus one has.
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