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Their corresponding clustering coefficient distributions show a decline with node's degree, although with a clear deviation from scaling law C(k) ~ k-1.
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Here, we show how deviations from scaling laws can be used to construct truly local measures of a city's organization and dynamics.
This is primarily based on the assumption that vertebrate scaling of vocal frequency occurs through size-dependent effects on a common vocal apparatus [e.g. [ 80]], thus deviations from scaling relationships might indicate an independent proximate mechanism [ 35].
In contrast, increasing the threshold beyond two genes introduced deviations from scale-free behavior, leading to networks that have properties of a complete graph (results not shown).
The observed deviation from the scaling law in the temperature profiles arises from the increasing contribution of three-body reactions to the flame front propagation velocity, leading to a decrease in the degree of burner stabilization.
The extreme conditions produced during sliding wear are found to result in structural evolution and a deviation from Archard scaling for the finest grain sizes; in the finest nanocrystalline materials wear resistance is higher than would be expected based on hardness alone.
Also the deviation from the scaling law at ξ ≈ 12.1 and ξ ≈ 16.6 is observed.
One should also note that the clustering coefficient distribution of Figure 3 shows clear deviation from any scaling law C(k) ~ k-β, further suggesting that biological networks cannot be characterized by the "deterministic hierarchical model".
Pure technical efficiency denotes health decision making unit technical efficiency that cannot be attributed to deviations from optimal scale (scale efficiency).
One important reason for the observed deviation from m-scale rules is the ubiquitous phenomenon of Size Effect (SE).
However, inspection of residuals for empirical data reveals systematic deviations from the scaling fit (Figure 2).
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