ABSTRACT: In this paper we improve the known bound for the X-rank RX(P ) of an element P ∈ PN in the case in which X ⊂ Pn is a projective variety obtained as a linear projection from a general v-dimensional subspace V ⊂ Pn+v . Then, if X ⊂ Pn is a curve obtained from a projection of a rational normal curve C ⊂ Pn+1 from a point O ⊂ Pn+1, we are able to describe the precise value of the X-rank f...

Attempts to resolve the energy-level structure of single DNA molecules by scanning tunnelling spectroscopy span over the past two decades, owing to the unique ability of this technique to probe the local density of states of objects deposited on a surface. Nevertheless, success was hindered by extreme technical difficulties in stable deposition and reproducibility. Here, by using scanning tunne...

Some twelve years ago, Mark Green [G] made a few conjectures regarding the behaviour of syzygies of a curve C imbedded in IP n by a complete linear system. The so-called generic Green conjecture on canonical curves pertains to this question when the linear system is the canonical one and the curve is generic in the moduli, and predicts what are the numbers of syzygies in that case. Green and La...

The newtonian potential that describes constant galactic rotation curves, which represent the speed of rotating stars and are independent of their distance from the centre, is φ = −v c ln(r). Substituting into Poisson’s equation gives density 4πGρ = −v c /r. The perfect fluid Einstein equations give the same result to lowest order, to next order terms in v c occur in the pressure and the densit...

YBa 2 Cu 3 O 7−δ Single Crystals " From recent transport experiments A.Rydh and¨O.Rapp [1] (RR) claim that the vortex liquid in untwinned YBa 2 Cu 3 O 7−δ crystals is correlated above the melting transition, in striking contrast to previous work [2]. In this Comment we present new measurements using the same experimental technique on twinned and untwinned YBa 2 Cu 3 O 7−δ crystals with similar ...

A model of local metastable states (MSs) due to the pinning induces plastic deformations allows to describe the nonlinear I − V curves in sliding density waves (DW). With increasing DW velocity v, the MSs of decreasing lifetimes τ ∼ 1/v are accessed. The characteristic second threshold field is reached when the shortest life time configurations are accessed by the fast moving DW. Thus the DW wo...

Metabolic modeling of (13)C NMR spectroscopy ((13)C MRS) data using two-compartment neuronal-glial models enabled non-invasive measurements of the glutamate-glutamine cycle rate (V(NT)) in the brain in vivo. However, the reliability of such two-compartment metabolic modeling has not been examined thoroughly. This study uses Monte-Carlo simulations to investigate the reliability of metabolic mod...

We measured the mid-infrared (MIR) extinction using Spitzer photometry and spectroscopy (3.6--37 micron) for a sample of Milky Way sightlines (mostly) having ultraviolet curves. used pair method to determine MIR that we then fit with power law continuum modified Drude profiles silicate features. derived 16 curves range A(V) (1.8-5.5) R(V) values (2.4-4.3). Our includes two dense have 3 micron i...

We study the chiral homology of elliptic curves with coefficients in a quasiconformal vertex algebra V. Our main result expresses nodal curve limit first group terms Hochschild Zhu A technical independent interest regarding relationship between associated graded V respect to Li’s filtration and arc space $$C_2$$ -algebra is proved.