We study optimal control problems with vector-valued controls. As model problem serves the optimal distributed control of the instationary Navier-Stokes equations. In the article, we propose a solution strategy to solve optimal control problems with pointwise convex control constraints. It involves a SQP-like step with an imbedded active-set algorithm. The efficiency of that method is demonstra...

By treating the real Maxwell Field and real linearized Einstein equations as being imbedded in complex Minkowski space, one can interpret magnetic moments and spinangular momentum as arising from a charge and mass monopole source moving along a complex world line in the complex Minkowski space. In the circumstances where the complex center of mass world-line coincides with the complex center of...

A synthetic approach to palau'amine is described that exploits veiled symmetry in the structure. Bis-alkylidenes i have been prepared and found susceptible to halogenative desymmetrization using t-BuOCl. This oxidation forms the imbedded spirocyclopentane motif observed in the natural product. A host of atypical reactions and processes developed during these studies are discussed, as are plans ...

For each 1 ≤ n ≤ 6 we present formulas for the number of n−nodal curves in an n−dimensional linear system on a smooth, projective surface. This yields in particular the numbers of rational curves in the system of hyperplane sections of a generic K3−surface imbedded in IP n by a complete system of curves of genus n as well as the number 17,601,000 of rational (singular) plane quintic curves in a...

Curved families (cf. Efron [3]) imbedded in exponential families having full rank differentiable sufficient statistics are considered. It is proved that if the rank is less or equal to the dimension of the sample space, then the maximum likelihood estimate is unique. Examples: the gaussian nonlinear regression, the gaussian family with unknown mean and variance, the ^-distribution. Generalized ...

2014 We derive an approximate theory for the spin diffusion tensor in a rare nuclear spin species imbedded into an abundant one, with special reference to 43Ca in CaF2. The usefulness of the theory is examplified by the description of an investigation of ferromagnetism with domains of the 19F spins, where the knowledge of the 43Ca spin diffusion constant allows a determination of the ferromagne...

1989 was the 40th anniversary of intra-ocular lens implantation. Harold Ridley performed the first implant for cataract surgery in November 1949 at St. Thomas' Hospital. The idea developed on the following lines: It was known that trauma from plastic imbedded in the eye was inert, a situation seen mainly in air pilots who had suffered injuries from shattered windscreens. But the seed was sown b...

In this article it is proven that if a knot, K, bounds an imbedded grope of class n, then the knot is ⌈ 2 ⌉-trivial in the sense of Gusarov and Stanford. That is, all type ⌈ 2 ⌉ invariants vanish on K. We also give a simple way to construct all knots bounding a grope of a given class. It is further shown that this result is optimal in the sense that for any n there exist gropes which are not ⌈ ...

in the present paper we define the notion of fuzzy inner productand study the properties of the corresponding fuzzy norm. in particular, it isshown that the cauchy-schwarz inequality holds. moreover, it is proved thatevery such fuzzy inner product space can be imbedded in a complete one andthat every subspace of a fuzzy hilbert space has a complementary subspace.finally, the notions of fuzzy bo...

In this paper a metamaterial-inspired T-matching network is directly imbedded inside the feedline of microstrip antenna to realize optimum power transfer between front-end an RF wireless transceiver and antenna. The proposed network, which composed arrangement series capacitor, shunt inductor, exhibits left-handed metamaterial characteristics. matching first theoretically modelled gain insight ...