Exact(2)
We prove that a pair of integral quadratic forms in 5 or more variables will simultaneously represent almost all pairs of integers that satisfy the necessary local conditions, provided that the forms satisfy a suitable nonsingularity condition.
Future multivariate analyses with more variables will require larger patient populations.
Similar(58)
Borrowers who see inflation as more variable will charge higher rates on future loans (above the amount justified by higher inflation) to cover the greater risk that their inflation expectations will be wrong.
For values of λ tending towards infinity, all coefficients in will be forced to 0, whereas as λ decreases, more coefficients will have non-null values (i.e more predictor variables will be used in the model estimation).
There are a few more variables that will dictate the answers.
His analysis leads him to conclude, in accordance with Darwin's dictum, that the more numerous species will tend to be the more variable, and will make the most rapid evolutionary progress, supplanting less abundant groups, as Darwin foresaw.
More variable costs will have to be incurred to build the inventory to a higher level; fixed manufacturing costs presumably will be unaffected.
Although the diagnosis of quinsy and cellulitis is relatively straightforward, the clinical diagnosis of otitis media (www.sign.ac.uk/guidelines/fulltext/66) or sinusitis (www.cks.nhs.uk/sinusitis) is likely to be more variable, which will have reduced the power to find associations.
In addition to emergency responses, it is expected that a more variable climate will bring more frequent and larger surges in 'non-emergency/normal' demands such as the amplification of patterns in weather-related diseases and injuries, including dehydration and heatstroke in summer, or broken bones after slipping on ice in winter.
Next, we test if the proportion of nodes shared between the combined-data and mtDNA trees is correlated with the overall proportion of the variable sites in the combined data that are from mtDNA (given the prediction that the data set with more variable characters will have a stronger influence on the combined-data tree).
If you are writing math programs, more interaction with variables will be needed, but you should still use the OP registers or expression stack as much as possible.
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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