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Examples

  • Whatever field-like (and time-like, and space-like) influences there are operating consciousness, it seems quite clear to me that it has to function via physical mechanism at the crossover phase-space.

    Coordinated Evolution 2007

  • Malament 1982 had objected that the obstacles to the nominalization of phase-space theories in Hamiltonian mechanics seemed insuperable.

    Explanation in Mathematics Mancosu, Paolo 2008

  • Lyon and Colyvan (2007) go beyond Malament's claim by arguing that even if a nominalistic reconstruction of phase-space theories were available, the nominalist would still have to show that such reconstruction can yield the explanations yielded by the non-nominalistic version (s).

    Explanation in Mathematics Mancosu, Paolo 2008

  • Their claim is that the phase-space analysis of the system provides explanations that cannot be provided by any nominalist reconstruction.

    Explanation in Mathematics Mancosu, Paolo 2008

  • In the jargon of chaos-theory: although trajectories through a region of a dynamical phase-space may exhibit exponential sensitivity to initial perturbations and thus potentially exhibit no meaningful central tendency, their divergence may still have bounded extent.

    Exponential Growth in Physical Systems « Climate Audit 2007

  • Per Shang-Keng Ma, an entropy can be defined as the logarithm of the phase-space volume explored by the system over a given timescale; the states relevant for thermodynamics (mumble mumble microcanonical mumble mumble) would be the decategorification of the states used at the statistical-mechanical level.

    Arrow of Time FAQ Sean 2007

  • Or is expressed in terms of the volume in phase-space of what the observer sees as a single macrostate.

    Against Bounces Sean 2007

  • Folks like me believe the upturn is mainly due to improved detection, especially as the 1970s generation of satellites were put into use and now phase-space analysis is put to use in analyzing cyclones outside the tropical Atlantic.

    Hurricanes 2007 « Climate Audit 2007

  • It is perhaps helpful, in trying to understand the status in Bohmian mechanics of the quantum equilibrium distribution, to think of quantum equilibrium, ρ = | ψ | 2 as roughly analogous to (classical) thermodynamic equilibrium, ρ = exp (- H/kT)/Z, the probability distribution of the phase-space point of a system in equilibrium at temperature T. (Z is a normalization constant called the partition function and k is Boltzmann's constant.)

    Bohmian Mechanics Goldstein, Sheldon 2006

  • Malcolm's models are all phase-space shapes on a computer screen.

    Jurassic Park Crichton, Michael, 1942- 1991

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