Harlequin is a coat pattern of the Great Dane characterized by ragged patches of full color on a white background. Harlequin patterning is a bigenic trait, resulting from the interaction of the merle allele of SILV, and a dominant modifier locus, H. Breeding data suggest that H is embryonic recessive lethal and that all harlequins are Hh. To identify linkage with the harlequin phenotype, 46 Gre...

We consider the network communication scenario, over directed acyclic networks with unit capacity edges in which a number of sources si each holding independent unit-entropy information Xi wish to communicate the sum ∑ Xi to a set of terminals tj . We show that in the case in which there are only two sources or only two terminals, communication is possible if and only if each source terminal pa...

The main goal of this paper is to characterize the Hilbert functions of all (artinian) codimension 4 Gorenstein algebras that have at least two independent relations of degree four. This includes all codimension 4 Gorenstein algebras whose initial relation is of degree at most 3. Our result shows that those Hilbert functions are exactly the so-called SI-sequences starting with (1, 4, h2, h3, .....

Let F be the category of finite dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product S1⊗· · ·⊗SN of simple objects of F is simple if and only if for any i < j, Si ⊗ Sj is simple.

We use time-dependent density functional theory to study self-irradiated Si. We calculate the electronic stopping power of Si in Si by evaluating the energy transferred to the electrons per unit path length by an ion of kinetic energy from 1 eV to 100 keV moving through the host. Electronic stopping is found to be significant below the threshold velocity normally identified with transitions acr...