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Examples
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It is this inflation, proposes Penrose, that generates the scale-invariant spectrum of density perturbations in the post-Big Bang universe.
Archive 2009-05-01 Gordon McCabe 2009
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Renormalization group (RG) is a mathematical formalism that constrains a physical theory near a scale-invariant fixed point.
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“But in a scale-invariant world, even if they were separated by 2000 kilometres they could speak to each other as if separated by just 2 metres.”
Dark Matter: Still Dark. Julianne 2008
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There was pretty good agreement; our guess was that the perturbations would be basically scale-invariant, and the particular model we considered produced perturbations that only varied by about 10% over phenomenologically interesting scales.
Anatomy of a Paper: Part II, Calculation Sean 2007
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We guessed, even in the absence of a specific model, that such a statistical anisotropy would show up as a nearly scale-invariant modulation of the power spectrum.
Anatomy of a Paper: Part II, Calculation Sean 2007
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Hi, I have attemped a dummies guide to analysing scale-invariant series and put it on my site.
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The main conclusions – thermal curve; scale-invariant fluctuations; violations of scale invariance in a particular direction; various correlations etc. – are derived directly from the observed data.
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As regards weather/climate, it has always been interesting to me that the unforced Navier-Stokes equations are in their own way scale-invariant.
Weather and Climatology: Mandelbrot's View « Climate Audit 2005
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Here we propose that this information-transfer dynamics may serve as a generic and universal mechanism for dynamic scale-invariant behaviors observed in a vareity of systems, including physical as well as biological systems.
Shannon Information and Biological Fitness - The Panda's Thumb 2005
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Their dependence on the scale was also found and the spectrum was seen to be approximately scale-invariant.
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