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Discover LudwigThe phrase "a substantially higher density" is correct and usable in written English.
It can be used when comparing the density of two or more substances, materials, or populations, indicating that one has a significantly greater density than the other.
Example: "The new material exhibits a substantially higher density than its predecessor, making it more suitable for the application."
Alternatives: "a significantly greater density" or "a markedly higher density".
Exact(4)
As shown in Fig. 1, this increase has been accompanied by remarkable changes in the age distribution of first-time mothers, which has become less skewed with a substantially higher density of first-time mothers older than 25 and an extension of first-time motherhood beyond the age of 40.
This trickle film bioreactor run reached 5 gDW/L, which was a substantially higher density than observed in prior batch experiments with comparable feeding (0.3 gN/L).
Specifically, each module is a connected sub-network with a substantially higher density of edges within the sub-network compared to the density between the sub-network and the rest of the network.
In the current study, we used a substantially higher density of SNPs (~ 112 K), which may have facilitated the detection of QTL in regions not covered by previous lower density SNP platforms.
Similar(56)
EB101-immunized mouse brains from group A) were almost devoid of reactive gliosis, whereas the APP/PS1 transgenic mice of groups B) and C), showed a substantially high density of GFAP immunoreactivity in the same brain areas with astrogliosis-like morphology (aggregates of astrocytes replacing nearby death neurons).
For size-10 networks, Yeast2 and Yeast3 have substantially higher density and average-degree suggesting lower consensus thresholds.
This difference could be attributed to the substantially higher density of pigs in the Netherlands (1,244 pigs/km) than in Manitoba (55 pigs/km), Saskatchewan (6 pigs/km), and Ontario (91 pigs/km) (www.agriculture.gov.sk.ca/Pig_Densities).ca/Pig_Densities
This is a substantially higher marker density than reported in previous citrus maps, in which nine LG were obtained.
Prediction of breeding values of unrelated individuals required a substantially higher marker density and number of training records than when prediction individuals were offspring of training individuals.
As expected, women for whom the histological lesions did not correlate to the mammographic abnormalities had a substantially higher percent density in comparison to women for whom the histologic and the imaging findings were correlated (median: 27% vs. 17%).
Accounts by nineteenth century explorers indicate that wild orangutans may have lived at substantially higher densities in the recent past than they do now.
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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