Preliminaries. Bn (resp. 5„_i) will denote the subset of Rn consisting of those x such that ||x|| g 1 (resp. ¡|x|| = 1). x0 will denote the point (1, 0, 0, •• -, 0) of R" and T will denote Si made into a topological group by using complex multiplication. All groups will be assumed to be Abelian. For a based topological space X and a topological group G, let C(X, G) denote the set of maps (i.e.,...

In this paper we study the computational complexity of the (extended) minimum cost homomorphism problem (Min-Cost-Hom) as a function of a constraint language, i.e. a set of constraint relations and cost functions that are allowed to appear in instances. A wide range of natural combinatorial optimisation problems can be expressed as Min-Cost-Homs and a classification of their complexity would be...

The FNAL 9-cell 3.9GHz deflecting mode cavity designed for the CKM experiment was chosen as the baseline design for the ILC BDS crab cavity. The full 9cell CKM cavity including the coupler end-groups was simulated using the parallel eigensolver Omega3P and scattering parameter solver S3P. It was found that both the notch filters for the HOM/LOM couplers are very sensitive to the notch gap, whic...

The Drosophila homeotic selector (HOM) genes encode a family of DNA binding transcription factors that specify developmental fates of different body segments by differentially regulating the activity of downstream target genes. A central question is how the HOM proteins achieve their developmental specificity despite the very similar DNA binding specificities of isolated HOM proteins in vitro. ...

the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...

Bidirectional communication between the 1,4-dihydropyridine receptor (DHPR) in the plasma membrane and the type 1 ryanodine receptor (RYR1) in the sarcoplasmic reticulum (SR) is responsible for both skeletal-type excitation-contraction coupling (voltage-gated Ca(2+) release from the SR) and increased amplitude of L-type Ca(2+) current via the DHPR. Because the DHPR and RYR1 are functionally cou...

We report on the design of high order mode (HOM) couplers developed for superconducting (SC) 3 harmonic cavities carried out in the framework of the SUPER 3HC project. The high damping requirements for both longitudinal and transverse modes can be achieved with the appropriate HOM dampers. The results of measurements on a copper model as well as simulations are presented.