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*PRATTLE*, n. Trifling or childish tattle; empty talk; loquacity on trivial subjects; prate; babble.
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__ Othello, The Moor of Venice Act 1, Scene 1
IAGO: unless the bookish theoric,
__ Wherein the toged consuls can propose
__ As masterly as he: mere *PRATTLE*, without practise,
__ Is all his soldiership.
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The *PRANDTL* number Pr is a dimensionless number; the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity.
http://en.wikipedia.org/wiki/Lorenz_attractor wrote:
<<The Lorenz attractor, named for Edward N. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator. The Lorenz oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. The map shows how the state of a dynamical system (the three variables of a three-dimensional system) evolves over time in a complex, non-repeating pattern.
The attractor itself, and the equations from which it is derived, were introduced in 1963 by Edward Lorenz, who derived it from the simplified equations of convection rolls arising in the equations of the atmosphere.
In addition to its interest to the field of non-linear mathematics, the Lorenz model has important implications for climate and weather prediction. The model is an explicit statement that planetary and stellar atmospheres may exhibit a variety of quasi-periodic regimes that are, although fully deterministic, subject to abrupt and seemingly random change.
From a technical standpoint, the Lorenz oscillator is nonlinear, three-dimensional and deterministic. For a certain set of parameters, the system exhibits chaotic behavior and displays what is today called a strange attractor. The strange attractor in this case is a fractal of Hausdorff dimension between 2 and 3. Grassberger (1983) has estimated the Hausdorff dimension to be 2.06 ± 0.01 and the correlation dimension to be 2.05 ± 0.01.
The system also arises in simplified models for lasers (Haken 1975) and dynamos (Knobloch 1981).
The equations that govern the Lorenz oscillator are:
where σ is called the
Prandtl number and ρ is called the
Rayleigh number. All σ, ρ, β > 0, but usually σ = 10, β = 8 / 3 and ρ is varied. The system exhibits chaotic behavior for ρ = 28 but displays knotted periodic orbits for other values of ρ. For example, with ρ = 99.96 it becomes a T(3,2) torus knot.>>
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__ Troilus and Cressida Act 2, Scene 1
THERSITES: I shall sooner
rail thee into wit and holiness: but,
__ I think, thy horse will sooner con an oration than
__ thou learn a prayer without book.
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__ King Henry VI, Part i Act 3, Scene 1
GLOUCESTER: No, prelate; such is thy audacious wickedness,
__ Thy lewd, pestiferous and dissentious pranks,
__ As very infants *PRATTLE* of thy pride.
__ Thou Art a most pernicious usurer,
__ Forward by nature, enemy to peace;
__ Lascivious, wanton, more than well beseems
__ A man of thy profession and degree;
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__ Measure for Measure Act 5, Scene 1
DUKE VINCENTIO: Silence that fellow: I would he had some cause
__ To *PRATTLE* for himself.
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__ King Richard II Act 5, Scene 2
DUKE OF YORK: As in a theatre, the eyes of men,
__ After a well-graced actor leaves the stage,
__ Are idly bent on him that enters next,
__ Thinking his *PRATTLE* to be tedious;
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Orange Sun Oozing
