We bound several quantities related to the packing density of the patterns 1(l+ 1)l . . . 2. These bounds sharpen results of Bóna, Sagan, and Vatter and give a new proof of the packing density of these patterns, originally computed by Stromquist in the case l = 2 and by Price for larger l. We end with comments and conjectures.

For a normal covering over a closed oriented topological manifold we give a proof of the L-signature theorem with twisted coefficients, using Lipschitz structures and the Lipschitz signature operator introduced by Teleman. We also prove that the L-theory isomorphism conjecture as well as the C max-version of the Baum-Connes conjecture imply the L signature theorem for a normal covering over a P...

Properties of classical (logical) entailment relation (denoted as ⊢) have been well studied and well-understood, either with or without the presence of logical connectives. There is, however, less uniform agreement on laws for the nonmonotonic consequence relation. This paper studies axioms for nonmonotonic consequences from a semantics-based point of view, focusing on a class of mathematical s...

let $r$ be a commutative ring with identity‎. ‎a proper ideal $p$ of $r$ is a $(n-1,n)$-$phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin r$‎, ‎$a_1cdots a_nin pbackslash p^m$ ($a_1cdots a_nin pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin p$‎, ‎for some $iin{1,ldots,n}$; ($m,ngeq 2$)‎. ‎in this paper several results concerning $(n-1,n)$-$phi_m$-prime and $(n-1,n)$-...

We have studied the Ag/Ge( l l l )v r3 x v~ superstructure by grazing-incidence X-ray diffraction. In our structural analysis we find striking, similarities to the geometry of Au on Si(l l l) . The Ag atoms form trimer clusters with an Ag-Ag distance of 2.94 5:0.04 A with the centers of the trimers being located at the origins of the V~ x Vr3 lattice. The Ag layer is incomplete and at least one...

Let 1 < p ̸= 2 < ∞, ε > 0 and let T : lp(l2) into → Lp[0, 1] be an isomorphism Then there is a subspace Y ⊂ lp(l2), (1 + ε)-isomorphic to lp(l2), such that: T|Y is an (1+ ε)-isomorphism and T (Y ) is Kp-complemented in Lp [0, 1], with Kp depending only on p. Moreover, Kp ≤ (1 + ε)γp if p > 2 and Kp ≤ (1 + ε)γp/(p−1) if 1 < p < 2, where γr is the Lr norm of a standard Gaussian variable.

Other names: BAM, BIM, BIM-alpha6, BIM-beta6, BIM-beta7, BOD, BimEL, BimL HGNC (Hugo): BCL2L11 Location: 2q13 Local order: According to GeneLoc and NCBI Map Viewer, genes flanking BCL2L11 in plus strand direction are: ACOXL 2q13 (acyl-Coenzyme A oxidase-like); PAFAH1P2 2q13 (platelet-activating factor acetylhydrolase, isoform Ib, pseudogene 2). Note: BCL2L11/BIM is a BH3-only protein from the B...

We define the notion of " projective " multiresolution analyses, for which, by definition, the initial space corresponds to a finitely generated projective module over the algebra C(T n) of continuous complex-valued functions on an n-torus. The case of ordinary multi-wavelets is that in which the projective module is actually free. We discuss the properties of projective multiresolution analyse...