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powerlaw
It is expected to increase with concentration as a powerlaw with the exponent y that is left as a fit parameter.
      
In fact, there is a full family of such powerlaw steady solutions.
      
In particular, we derive a nonlinear conservative cascade equation, and demonstrate how it can give rise to stationary powerlaw spectra.
      
In this state the distribution of avalanche sizes is a powerlaw of slope very close to -1.
      
More importantly, the scaling behaviour is LfhfA1/2 ; no powerlaw scaling applies to rZH/R, however.
      
Moreover, the frequency distributions of the number of incoming indegree and outgoing out-degree edges show fat-tail powerlaw behaviors.
      
Note that under the Hybrid attack the network does not get disconnected but instead its typical diameter increases deviating from a powerlaw behavior.
      
Pt showed the powerlaw creepwith the stressexponent of the steadystate ratebeing -6.
      
Quantum mechanics has changed the powerlaw divergence into a logarithm.
      
Strict self-similarity implies that all moments behave like a powerlaw of the timescale, where the power-law is linear with respect to H.
      
Section IV contains the numerical results obtained for classical and quantum electron motion in powerlaw correlated disorder potentials.
      
Scale Free In this structure, the ties among actors are distributed according to a powerlaw.
      
To explain the light-curve break around day 9, we invoked a broken powerlaw distribution of the shock-accelerated electrons.
      
Thus, if we accept the powerlaw correlations in time, the power-law behaviour in space is also expected.
      
This combination produced a simulated boundary layer with depth of 1.8m, a roughness length of 1mm, and a powerlaw exponent of 0.16.
      
The Simon model gives a powerlaw frequency distribution whose exponent is tunable in manner which closely mirrors the behavior in the GNR model.
      
They first use an existing model based on expansion of a pressure vessel deforming by powerlaw creep to describe the early stage of foaming.
      
They considered that powerlaw correlations in both space and time are at least required.
      
Therefore, it is currently uncertain if the density follows a powerlaw or an exponential.
      
The crack tip stress fields for elastic and plastic powerlaw hardening material models are discussed.
      
 

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