Exact(4)
One of the things Hilton and I talked about earlier today - he was interested in some of the parallels between writing code and writing text, writing English, and one of the things I thought was that property of scale was exactly the same.
Sparsity has a very nice property of scale invariance (to some extent) due to resolution blur [11].
However, this argument refers to profile case BWS, which is found to lack the important property of scale invariance (see Sections 2.4.2 and 5.3 of the companion paper).
This stems from the fact that generalized homogenous functions display this property of scale invariance and data collapsing, and such functions were investigated in the context of formalism to treat thermodynamic functions, static correlation function, dynamic correlation function and universality near the critical point [9].
Similar(56)
Another important property of scale-free networks is that they are small world networks [34].
Figure 2 (B) plots another property of scale-free networks, the small-word phenomenon.
Average clustering coefficient is another important property of scale-free networks.
While the networks we investigated have the key property of scale-free networks, i.e. they have many nodes with degree much higher than the average, the distribution of the degrees is too irregular to match with a particular power law.
The degree distribution of miRNA-disease network (see Figure 5) follows power-law property of scale-free networks, i.e. their degree distribution follows the property of P (k) ~ k−γ [ 31].
This would have the property of scaling the whole term describing transcription due to binding of AraC and CRP according to the factor σ.
Finally, we reconcile previous debates by concluding that genomes are systems that are constantly under a critical state and therefore, they may show universal properties of scale invariance.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com