holmes, lumley, et al low-dimensional models of coherent structures in turbulence

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... of singularities of the general solution characterizesthe level of integrability of the equation. This is the basis of the theory of the (explicit) integration of nonlinear ODEs built by Painlev´e, ... another integrable PDE.Although partially integrable and nonintegrable equations, i.e. the majo-rity of physical equations, admit no BT, they retain part of the properties of (fully) integrable ... Classification of the subalgebras of a finite dimensional Lie algebra . 2383.1 Formulation of the problem 2383.2 Subalgebras of a simple Lie algebra 2393.3 Example: Maximal subalgebras of o(4, 2)...

. for investigat-ing phonon dynamics. The ability to generate and control coherent phonon oscillations using optical pulses has triggeredinterests in the study of semimetals,3–6transition metals,7semiconductors,8–11superlattices,12semi-insulators,13andresonant. Bi2Te3thin filmsas a topological insulator has drawn new interest.2One of the material’s fundamentals is the excitation of energycarriers and interactions among energy carriers includingphotons,. still have crystalline structure, asshown in the Raman scattering data in Fig. 4(c). The widths of the Raman peaks in the thinner films are slightly wider,indicating longer interatomic distances...

. for investigat-ing phonon dynamics. The ability to generate and control coherent phonon oscillations using optical pulses has triggeredinterests in the study of semimetals,3–6transition metals,7semiconductors,8–11superlattices,12semi-insulators,13andresonant. Bi2Te3thin filmsas a topological insulator has drawn new interest.2One of the material’s fundamentals is the excitation of energycarriers and interactions among energy carriers includingphotons,. still have crystalline structure, asshown in the Raman scattering data in Fig. 4(c). The widths of the Raman peaks in the thinner films are slightly wider,indicating longer interatomic distances...

... tagging under different values of parameters. The parameters involved included the weight of transitional probability function, the number of sentences in an abstract, the minimal number of ... a method for computational analysis of move structures in abstracts of research articles. In our approach, sentences in a given abstract are analyzed and labeled with a specific move in ... in light of various rhetorical functions. The method involves automatically gathering a large number of abstracts from the Web and building a language model of abstract moves. We also present...