low-dimensional love

low-dimensional

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Examples

  • I think that the dimension of turbulence as a chaotic dynamical-system, again measured by the Kolmogorov scales, is much too large to be a candidate for interpretation as a low-dimensional chaotic system.

    Exponential Growth in Physical Systems « Climate Audit 2007

  • The role of the statistician is somewhat trivial in such cases; she simply calculates the projection of the high-dimensional data onto the low-dimensional subspace the “model”.

    Climate Models – the Next Generation « Climate Audit 2006

  • The low-dimensional noncritical string theories are not controversial in the way the supercritical ones are.

    News From The Front, II cjohnson 2005

  • Studies of superlattices and quantum wells were rapidly promoted in the West and afterwards in this country soon resulted in coming into being of a new area of the quantum physics of solid: the physics of low-dimensional electron systems.

    Zhores I. Alferov - Autobiography 2001

  • Apart from fundamental results that were quite new and important efficient one-side injection, the "superinjection" effect, diagonal tunneling, electron and optical confinement in a double heterostructure (which in a short while became the main element in studying the low-dimensional electron gas in semiconductors), we succeeded in employing principal benefits of heterostructure applications in devices, i.e., lasers, LEDs, solar cells, dynistors and transistors.

    Zhores I. Alferov - Autobiography 2001

  • "One should not forget the value in science getting access to novel types of materials and to studying previously unavailable low-dimensional physics," Samuelson said.

    Honey, Who Shrank the Circuits? Lakshmi Sandhana 2002

  • The first break led to a curious result about the embeddability being realizable in surprisingly low-dimensional ambient spaces provided that one would accept that the embedding would have only limited smoothness.

    John F. Nash, Jr. - Autobiography 1995

  • Monte-Carlo simulations were used to validate these initial findings We examined the changes over time of four well-known low-dimensional chaotic systems: Lorenz,

    PLoS ONE Alerts: New Articles Michel Laurent et al. 2010

  • Therefore, we used the same analytical method to analyze the oscillations of four well-known, low-dimensional, chaotic oscillators, originally designed in diverse settings and all possibly well-adapted to model the fluctuations of cell populations: the Lorenz, Rössler, Verhulst and Duffing oscillators.

    PLoS ONE Alerts: New Articles Michel Laurent et al. 2010

  • Therefore, we used the same analytical method to analyze the oscillations of four well-known, low-dimensional, chaotic oscillators, originally designed in diverse settings and all possibly well-adapted to model the fluctuations of cell populations: the Lorenz, Rössler, Verhulst and Duffing oscillators.

    PLoS ONE Alerts: New Articles Michel Laurent et al. 2010

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