We consider the problem of scheduling n jobs onm identical parallel batching machines. Each job is characterized by a release time and a processing time. Each machine can process up to B (B < n ) jobs as a batch simultaneously. The processing time of a batch is equal to the largest processing time among all jobs in the batch. The objective is to minimize the maximum completion time (makespan). ...

Let (M, I, J,K) be a compact hypercomplex manifold admitting a special kind of quaternionic-Hermitian metric called an HKT-metric. Assume that the canonical bundle of (M, I) is trivial as a holomorphic line bundle. We show that the holonomy of canonical torsion-free connection called Obata connection onM is contained in SL(n,H). In Appendix we apply these arguments to compact nilmanifolds which...

Let M be a strongly pseudoconvex complex manifold which is also the total space of a principal G-bundle with compact base M/G. Assume also thatG acts onM by holomorphic transformations. For such M , we provide a simple condition on forms α sufficient for the regular solvability of u = α and other problems related to the ∂̄-Neumann problem on M . Similar properties are shared by b.

Let ( , σ ) be the one-sided shift space onm symbols. For any x = (xi)i 1 ∈ and positive integer n, define Rn(x) = inf{j n : x1x2 · · · xn = xj+1xj+2 · · · xj+n}. We prove that for each pair of numbersα, β ∈ [0,∞] withα β, the following recurrent set Eα,β = { x ∈ : lim inf n→∞ logRn(x) n = α, lim sup n→∞ logRn(x) n = β } has Hausdorff dimension one. AMS classification scheme number: 28A80

Observations of fall armyworm, Spodoptera frugiperda (J.E. Smith) (Lepidoptera: Noctuidae), larvae infesting plots of Miscanthus giganteus Greef and Deuter ex Hodkinson and Renvoize prompted laboratory-based tests of survival, development, and feeding preferences on leaf tissue fromM. giganteus and switchgrass, Panicum virgatum L. Survival from hatch to pupation was 70 and 50% for fall armyworm...

Hereditary hearing loss is the most common sensory deficit. We determined that progressive high-frequency hearing loss in 2 families of Iraqi Jewish ancestry was due to homozygosity for the protein truncating mutation SYNE4 c.228delAT. SYNE4, a gene not previously associated with hearing loss, encodes nesprin-4 (NESP4), an outer nuclear membrane (ONM) protein expressed in the hair cells of the ...

Endocrine stimulation of muscle nonshivering thermogenesis (NST) in ducklings was investigated in vitro using a perfused hindlimb preparation maintained at 25°C. Effects of flow rate, norepinephrine (NE), epinephrine, and glucagon on perfused muscle oxygen consumption (M˙o 2) and perfusion pressure were studied. Control ducklings ( Cairina moschata, 5 wk old) reared at thermoneutrality (25°C, T...

The lipoproteins isolated from rat plasma by flotation in the density range 1.019-1.063 g/ml were further characterized. Using rate zonal ultracentrifugation, we isolated two lipoproteins in almost equal proportions from this density range. Similar isolations may be accomplished with density gradients in a swinging-bucket rotor. On isopycnic-densitygradient ultracentrifugation one component ban...