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The generated CRDL files have a size between 2 KB and 9 KB with an average of 6 KB. Figure 10 shows that the size of the index grows at a linear rate with the amount of files.
As such, we conclude that the hierarchical index is successful at improving the algorithmic runtime as the size of the index grows.
We exploit the idea further by allowing also the rank K1 to be infinite in principle, and enforcing the low-rank nature by shrinking the columns of and the rows of Γ increasingly as the column/row index grows.
These results are likely due to the fact that the graphs in question have significantly more "clique" subgraphs than "dense" or "enriched" subgraphs--as the size of the index grows, so does the potential advantage in using a hierarchical index.
As the size of the index grows, we can add more levels, summarizing each byte in the "first level" index with a bit in the "second level" index, each byte in the "second level" index with a bit in the third, and so on.
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The overall December index grew 0.2percentt, matching expectations.
But when the price index grew 4to6percentent annually, stocks lost an average of 0.3percentt a month.
The December consumer price index grew by 1.9 percent and producer price index by 1.7 percent.
By contrast, the Standard & Poor's 500-stock index grew nearly 27 percent during the same time period.
This year, the index grew at a much slower rate, 6.9percentt, driven mainly by increases in taxes and insurance costs.
The benchmark Nikkei 225 stock index grew 24percentt in 2003, the first full-year increase in four years.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com