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In this paper, an average inverse power ratio method is proposed.
A method that uses inverse power iterations is proposed to pre-condition the assumed modes appropriately.
The authors conclude that the frequency of aftershocks decays with distance as a single inverse power law with an exponent of around −1.35.
This paper addresses the usage of inverse power laws in accelerated fatigue testing under wide-band Gaussian random loading.
Here we expand on the hypothesis that natural hazards have size frequency relationships that in parts resemble inverse power laws.
The resonance frequency followed well the inverse power law relationship with the length of the cantilevers despite of the annealing.
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As the hierarchy of processes responsible for the lognormal distribution becomes more complex (curve 3. to 2), the distribution becomes broader, providing a greater degree of overlap with the inverse power-law distribution53 (line 1).
(c) Idealised comparison between the probability distributions, p(x), of an inverse power-law (green line 1) and two lognormal distributions (curves) of decreasing complexity, labelled 2. and 3.
Many authors have documented the existence of inverse power-law relationships between river rainfall catchment area A and channel gradient S which appear to be a consequence.
The CRSS for {110}⟨1¯12⟩ slip shows an inverse power-law scaling against the specimen size with an exponent of −0.517.
We found inverse power-law distributions both in the timing of fly ISIs and in the cox group (Fig. 3b).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com