We have developed a theoretical model [1] for ionic transport through synthetic conical nanopores. The results have been compared with experiments obtained for single, gold–coated conical nanopores. The model [1] describes quantitatively the ionic transport through synthetic conical nanopores. It is based on the Poisson and Nernst-Planck (PNP) equations and allows the calculation of realistic p...

There exists a duality between elliptic curves and noncommutative tori, i.e. C∗-algebras generated by the unitary operators u and v such that vu = euv. We show that this duality can be included into a general picture involving the algebraic curves of higher genus. In this way we prove that a big part of geometry of complex algebraic curves can be developed from the K-theory of a noncommutative ...

In this paper, we develop a technique to compute the Weierstrass Gap Sequence at a given point, no matter if simple or singular, on a plane curve, with respect to any linear system V ⊆ H(C,OC (n)). This technique can be useful to construct examples of curves with Weierstrass points of given weight, or to look for conditions for a sequence to be a Weierstrass Gap Sequence. We use this technique ...

Let $\bar{M}_{0,n}(G(r,V), d)$ be the coarse moduli space of stable degree $d$ maps from $n$-pointed genus $0$ curves to a Grassmann variety $G(r,V)$. We provide recursive method for computation Hodge numbers and Betti all $n$ $d$. Our is generalization Getzler Pandharipande's work projective spaces.

The coamoeba of any complex algebraic plane curve V is its image in the real torus under the argument map. The area counted with multiplicity of the coamoeba of any algebraic curve in (C∗)2 is bounded in terms of the degree of the curve. We show in this Note that up to multiplication by a constant in (C∗)2, the complex algebraic plane curves whose coamoebas are of maximal area (counted with mul...

We study the local symplectic algebra of parameterized curves introduced by V. I. Arnold in [A1]. We use the method of algebraic restrictions to classify symplectic singularities of quasi-homogeneous curves. We prove that the space of algebraic restrictions of closed 2-forms to the germ of a K-analytic curve is a finite dimensional vector space. We also show that the action of local diffeomorph...

Curve tracers draw a graph of current versus voltage of electronic devices. They are usually used to plot the characteristic curves of transistors (see Fig. 1a), but can also display diode curves (see Fig. 1b), and the v-i characteristics of other two and threeterminal devices. A family of curves is drawn, each curve differing from the next by a change in a controlling quantity (or parameter), ...

The following article offers an explanation of the relationship of Jacobi and Gauss sums to Fermât and Artin-Schreier curves which is an analogue of the proof of Stickleberger's theorem. 1. Correspondences. The connection between cubic Fermât curves and cubic Jacobi sums was first observed by Gauss [G], who used it to study such sums. That one can compute the number of points on a Fermât curve ...

The objectives of the present study were to compare the in vitro activity of LY333328 (LY) to that of vancomycin (V) alone and in combination with gentamicin (G) and rifampin (R) against methicillin-resistant Staphylococcus aureus (MRSA) and V-resistant Enterococcus faecium (VREF), by using the killing curve methods. In addition, the effect of the inoculum size and protein on LY's activity was ...

We present an empirical method for converting single-point near-infrared J, H, and K measurements of fundamental-mode Cepheids to mean magnitudes, using complete light curves in V or I bands. The algorithm is based on the template light curves in the near-infrared bandpasses. The mean uncertainty of the method is estimated to about 0.03 mag, which is smaller than the uncertainties obtained in o...