Relativistic minimal surfaces

We find classical solutions to the equations of motion of an M-dimensional surface moving in a higher-dimensional embedding space-time for arbitrary M. In the case of closed membranes, solutions exist for any topological type (genus)

Современное состояние и перспективы развития машин двойного питания в составе электропривода колебательного движения

Рассмотрены принципы действия и характеристики электродвигателей колебательного движения. Показаны перспективы развития колебательных электромеханических комплексов на базе электрических машин двойного питания. Даны физические основы формирования колебательного электромагнитного поля в машинах двойного питания при фазовой модуляции питающих токов

Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras

The purpose of this paper is to investigate ternary multiplications constructed from a binary multiplication, linear twisting maps and a trace function. We provide a construction of ternary Hom-Nambu and Hom-Nambu-Lie algebras starting from a binary multiplication of a Hom-Lie algebra and a trace function satisfying certain compatibility conditions involving twisting maps. We show that mutual position of kernels of twisting maps and the trace play important role in this context, and provide examples of Hom-Nambu-Lie algebras obtained using this construction

Experimental Verification of Surface Vehicle Dynamics

Experimental verification of surface vehicle dynamic

Correlated Microscale Isotope and Scanning Transmission X-Ray Analyses of Isotopically Anomalous Organic Matter from the CR2 Chondrite EET 92042

We discuss correlated examinations of organic matter from the CR2 chondrite EET 92042, using SIMS, STXM and other methods. We found a large, isotopically highly anomalous region of probable presolar origin that is C- and 13C-poor and 15N-rich

Noncommutative Riemann Surfaces by Embeddings in R^3

We introduce C-Algebras of compact Riemann surfaces $${\Sigma}$$ as non-commutative analogues of the Poisson algebra of smooth functions on $${\Sigma}$$ . Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as N → ∞. For a particular class of surfaces, interpolating between spheres and tori, we completely characterize (even for the intermediate singular surface) all finite dimensional representations of the corresponding C-algebras

Why Matrix theory works for oddly shaped membranes

We give a simple proof of why there is a Matrix theory approximation for a membrane shaped like an arbitrary Riemann surface. As corollaries, we show that noncompact membranes cannot be approximated by matrices and that the Poisson algebra on any compact phase space is U(infinity). The matrix approximation does not appear to work properly in theories such as IIB string theory or bosonic membrane theory where there is no conserved 3-form charge to which the membranes couple.Comment: 8 pages, 4 figures, revtex; references adde

Topological and functional aspects of the proton conductor, F0_0, of the Escherichia coli ATP-synthase

The isolated H$^+$ conductor, F$_0$ , of the Escherichia co1i ATP-synthase consists of three subunits, a, b, and c. H$^+$ -permeable liposomes can be reconstit~ted with F$_0$ and lipids; addition of F$_1$-ATPase reconstitutes a functional ATP-synthase. Mutants with altered or misslng F$_0$ subunits are defective in H$^+$ conduction. Thus, all three subunits are necessary for the expression of H$^+$ conduction. The subunits a and b contain binding sites for F$_1$• Computer calculations, cross-links, membrane-permeating photo-reactive labels, and proteases were used to develop tentative structural models for the individual F$_0$ subunits

Were Presolar Grains Destroyed by the Nebular Process Responsible for the Volatile Element Fractionation?

We present SiC abundances from a number of CM and CR chondrites using NanoSIMS raster ion imaging of acid residues. We find higher SiC abundances for CRs than previously estimated based on noble gases