We prove that there is no d such that all finite projective planes can be represented by convex sets in R, answering a question of Alon, Kalai, Matoušek, and Meshulam. Here, if P is a projective plane with lines l1, . . . , ln, a representation of P by convex sets in R is a collection of convex sets C1, . . . , Cn ⊆ R d such that Ci1 , Ci2 . . . , Cik have a common point if and only if the corr...

Given a strictly hyperbolic, genuinely nonlinear system of conservation laws, we prove the a priori bound ‖u(t, · )− uε(t, · )‖L1 = O(1)(1 + t) · √ ε |ln ε| on the distance between an exact BV solution u and a viscous approximation uε , letting the viscosity coefficient ε → 0. In the proof, starting from u we construct an approximation of the viscous solution uε by taking a mollification u ∗ φ√...

background: l1 retrotransposons are the most active mobile dna elements in human genome. unregulated l1 retrotransposition may have deleterious effect by disrupting vital genes and inducing genomic instabilities. therefore, human cells control l1 elements by silencing their activities through epigenetic mechanisms. it has been shown that cell division and heavy metals stimulate the frequency of...

the human papillomavirus l1 major capsid protein (hpv l1), the basis of the current vaccines, self-assembles into virus-like particles (vlps). herein, we describe the expression and purification of recombinant hpv16 l1 in e. coli system. the l1 protein was generated in a fused form using an inducible expression system. the recombinant gst-l1 fusion protein migrated as a 82 kda protein in sds-pa...

A word is non-repetitive if it does not contain a subword of the form vv. Given a list of alphabets L = L1, L2, . . . , Ln, we investigate the question of generating non-repetitive words w = w1w2 . . . wn, such that the symbol wi is a letter in the alphabet Li. This problem has been studied by several authors (e.g., [GKM10], [Sha09]), and it is a natural extension of the original problem posed ...

We investigate a system of N Brownian particles with the Coulomb interaction in any dimension d ≥ 2, and we assume that the initial data are independent and identically distributed with a common density ρ0 satisfying ∫ Rd ρ0 ln ρ0 dx < ∞ and ρ0 ∈ L 2d d+2 (Rd ) ∩ L1(Rd, (1+ |x|2) dx). We prove that there exists a unique global strong solution for this interacting partsicle system and there is n...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

this empirical study reports on a cross-linguistic analysis of the overarching issue of l1 lexicalization regarding two (non)-interventionist approaches to vocabulary teaching. participants were seventy four juniors at the islamic azad university, roudehen branch in tehran. the investigation pursued (i) the impact of the provided (non)-interventionist treatments on both sets of (non)-lexicalize...