5,172 research outputs found

    Relativistic minimal surfaces

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    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)

    Π‘ΠΎΠ²Ρ€Π΅ΠΌΠ΅Π½Π½ΠΎΠ΅ состояниС ΠΈ пСрспСктивы развития машин Π΄Π²ΠΎΠΉΠ½ΠΎΠ³ΠΎ питания Π² составС элСктропривода ΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ двиТСния

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    РассмотрСны ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΡ‹ дСйствия ΠΈ характСристики элСктродвигатСлСй ΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ двиТСния. ΠŸΠΎΠΊΠ°Π·Π°Π½Ρ‹ пСрспСктивы развития ΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… элСктромСханичСских комплСксов Π½Π° Π±Π°Π·Π΅ элСктричСских машин Π΄Π²ΠΎΠΉΠ½ΠΎΠ³ΠΎ питания. Π”Π°Π½Ρ‹ физичСскиС основы формирования ΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ элСктромагнитного поля Π² ΠΌΠ°ΡˆΠΈΠ½Π°Ρ… Π΄Π²ΠΎΠΉΠ½ΠΎΠ³ΠΎ питания ΠΏΡ€ΠΈ Ρ„Π°Π·ΠΎΠ²ΠΎΠΉ модуляции ΠΏΠΈΡ‚Π°ΡŽΡ‰ΠΈΡ… Ρ‚ΠΎΠΊΠΎΠ²

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

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    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

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    Experimental verification of surface vehicle dynamic

    Why Matrix theory works for oddly shaped membranes

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    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

    Noncommutative Riemann Surfaces by Embeddings in R^3

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    We introduce C-Algebras of compact Riemann surfaces Ξ£{\Sigma} as non-commutative analogues of the Poisson algebra of smooth functions on Ξ£{\Sigma} . Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as N β†’ ∞. 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

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

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    The isolated H+^+ conductor, F0_0 , of the Escherichia co1i ATP-synthase consists of three subunits, a, b, and c. H+^+ -permeable liposomes can be reconstit~ted with F0_0 and lipids; addition of F1_1-ATPase reconstitutes a functional ATP-synthase. Mutants with altered or misslng F0_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 F1_1β€’ Computer calculations, cross-links, membrane-permeating photo-reactive labels, and proteases were used to develop tentative structural models for the individual F0_0 subunits
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