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LS3DF, namely linear scaling three-dimensional fragment method, is an efficient linear scaling ab initio total energy electronic structure calculation code based on a divide-and-conquer strategy.
The hierarchical scheme does not handle linear scaling.
It'll also be interesting to see how truly scalable it is, considering the linear scaling efforts on Amazon EC2.
His group has developed the linear scaling methods for electronic structure calculations and more recently the QM/MM methods for simulations of chemical reactions in enzymes.
Intriguingly, a wide class of real-world networks also shows this linear scaling.
We have shown that the linear scaling between SΔ and n is not an inevitable property of networks; it would be possible, for example, to include networks with very large edge density that would destroy any linear scaling.
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A value (q=1) represents linear scaling and (q ge 1) super-linear scaling.
We further profiled a number of ways to partition gene loci into segments, and three methods to scale the columns of the DEP matrix (no scaling, non-linear scaling, non-linear-scaling with detrending).
Figure 2 confirms a sub-linear scaling (b < 1) between Nu and Nw for each corpora analyzed.
West says all the super-sized cities around the world seem to share this concept of super-linear scaling.
Recently, it has been suggested that cities are special because the increased urban population density leads to super-linear scaling in social tie density, thus facilitating super-linear scaling of information spreading [15].
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