Electrostatic ion rocket engine Patent

Electron bombardment ion rocket engine with improved propellant introduction syste

Electrostatic ion engine having a permanent magnetic circuit Patent

Ion engine with magnetic circuit for optimal discharg

Self-consistent analytic solution for the current and the access resistance in open ion channels.

A self-consistent analytic approach is introduced for the estimation of the access resistance and the current through an open ion channel for an arbitrary number of species. For an ion current flowing radially inward from infinity to the channel mouth, the Poisson-Boltzmann-Nernst-Planck equations are solved analytically in the bulk with spherical symmetry in three dimensions, by linearization. Within the channel, the Poisson-Nernst-Planck equation is solved analytically in a one-dimensional approximation. An iterative procedure is used to match the two solutions together at the channel mouth in a self-consistent way. It is shown that the currentvoltage characteristics obtained are in good quantitative agreement with experimental measurements

Slicing Sets and Measures, and the Dimension of Exceptional Parameters

We consider the problem of slicing a compact metric space \Omega with sets of the form \pi_{\lambda}^{-1}\{t\}, where the mappings \pi_{\lambda} \colon \Omega \to \R, \lambda \in \R, are \emph{generalized projections}, introduced by Yuval Peres and Wilhelm Schlag in 2000. The basic question is: assuming that \Omega has Hausdorff dimension strictly greater than one, what is the dimension of the 'typical' slice \pi_{\lambda}^{-1}{t}, as the parameters \lambda and t vary. In the special case of the mappings \pi_{\lambda} being orthogonal projections restricted to a compact set \Omega \subset \R^{2}, the problem dates back to a 1954 paper by Marstrand: he proved that for almost every \lambda there exist positively many $t \in \R$ such that \dim \pi_{\lambda}^{-1}{t} = \dim \Omega - 1. For generalized projections, the same result was obtained 50 years later by J\"arvenp\"a\"a, J\"arvenp\"a\"a and Niemel\"a. In this paper, we improve the previously existing estimates by replacing the phrase 'almost all \lambda' with a sharp bound for the dimension of the exceptional parameters.Comment: 31 pages, three figures; several typos corrected and large parts of the third section rewritten in v3; to appear in J. Geom. Ana

Radio-frequency dressing of multiple Feshbach resonances

We demonstrate and theoretically analyze the dressing of several proximate Feshbach resonances in Rb-87 using radio-frequency (rf) radiation. We present accurate measurements and characterizations of the resonances, and the dramatic changes in scattering properties that can arise through the rf dressing. Our scattering theory analysis yields quantitative agreement with the experimental data. We also present a simple interpretation of our results in terms of rf-coupled bound states interacting with the collision threshold.Comment: 4+ pages, 3 figures, 1 table; revised introduction & references to reflect published versio

Ultraviolet radiation sensitivity and reduction of telomeric silencing in Saccharomyces cerevisiae cells lacking chromatin assembly factor-I

In vivo, nucleosomes are formed rapidly on newly synthesized DNA after polymerase passage. Previously, a protein complex from human cells, termed chromatin assembly factor-I (CAF-I), was isolated that assembles nucleosomes preferentially onto SV40 DNA templates that undergo replication in vitro. Using a similar assay, we now report the purification of CAF-I from the budding yeast Saccharomyces cerevisiae. Amino acid sequence data from purified yeast CAF-I led to identification of the genes encoding each subunit in the yeast genome data base. The CAC1 and CAC2 (chromatin assembly complex) genes encode proteins similar to the p150 and p60 subunits of human CAF-I, respectively. The gene encoding the p50 subunit of yeast CAF-I (CAC3) is similar to the human p48 CAF-I subunit and was identified previously as MSI1, a member of a highly conserved subfamily of WD repeat proteins implicated in histone function in several organisms. Thus, CAF-I has been conserved functionally and structurally from yeast to human cells. Genes encoding the CAF-I subunits (collectively referred to as CAC genes) are not essential for cell viability. However, deletion of any CAC gene causes an increase in sensitivity to ultraviolet radiation, without significantly increasing sensitivity to gamma rays. This is consistent with previous biochemical data demonstrating the ability of CAF-I to assemble nucleosomes on templates undergoing nucleotide excision repair. Deletion of CAC genes also strongly reduces silencing of genes adjacent to telomeric DNA; the CAC1 gene is identical to RLF2 (Rap1p localization factor-2), a gene required for the normal distribution of the telomere-binding Rap1p protein within the nucleus. Together, these data suggest that CAF-I plays a role in generating chromatin structures in vivo

Testing Linear-Invariant Non-Linear Properties

We consider the task of testing properties of Boolean functions that are invariant under linear transformations of the Boolean cube. Previous work in property testing, including the linearity test and the test for Reed-Muller codes, has mostly focused on such tasks for linear properties. The one exception is a test due to Green for "triangle freeness": a function f:\cube^{n}\to\cube satisfies this property if $f(x),f(y),f(x+y)$ do not all equal 1, for any pair x,y\in\cube^{n}. Here we extend this test to a more systematic study of testing for linear-invariant non-linear properties. We consider properties that are described by a single forbidden pattern (and its linear transformations), i.e., a property is given by $k$ points v_{1},...,v_{k}\in\cube^{k} and f:\cube^{n}\to\cube satisfies the property that if for all linear maps L:\cube^{k}\to\cube^{n} it is the case that $f(L(v_{1})),...,f(L(v_{k}))$ do not all equal 1. We show that this property is testable if the underlying matroid specified by $v_{1},...,v_{k}$ is a graphic matroid. This extends Green's result to an infinite class of new properties. Our techniques extend those of Green and in particular we establish a link between the notion of "1-complexity linear systems" of Green and Tao, and graphic matroids, to derive the results.Comment: This is the full version; conference version appeared in the proceedings of STACS 200