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We also consider maximal functions over circles in the plane and obtain a simpler proof of Wolff's endpoint result.
Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight.
Let (lambda=lambda(b)) be a function of endpoint b, and (u=u(cdot, b)) the corresponding eigenfunction.
They prove that, as a function of the endpoint b, the Neumann eigenvalues are (C^{1}) functions.
The concert also functioned as the endpoint of the Barbican's Britten celebrations.
The rules are tailored to weight functions with algebraic endpoint singularities related to the geometrical singularities of the domain.
Post-hoc analyses showed that only cognitive rehabilitation increased psychosocial functioning significantly at endpoint.
In this section, we present a necessary and sufficient condition for nonnegativity and positivity of the functional (1) over the class of admissible functions, i.e. functions with zero left endpoint and free right endpoint.
The solution strategy focuses on 'learning by doing' using a value function that accounts for endpoint performance and feasibility.
A given function may have multiple endpoints.
Five studies reported data on mortality and 6 on neurological function; others reported surrogate endpoints such as cerebral blood flow.
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