Throughout this section, unless otherwise stated, every limit relation is understood as valid uniformly for all (xgeqgamma n) as (nrightarrowinfty).
In other words, arithmetic is incomplete, i.e. some propositions of arithmetic can be understood as valid; yet they cannot be proven within the frame of arithmetic.
The choice of test depends on the data context, but tests of the incremental predictive information in the new marker in the context of the regression model, such as the likelihood ratio test and the Wald test, have well understood and valid statistical properties under the defined sampling properties of the model.
I know that editors and reporters at the Times have heard, and understand, the valid complaints that have been raised..
Although we understand the valid impetus behind the use of the word "slut" as language to frame and brand an anti-rape movement, we are gravely concerned.
Most plausibly, perhaps, Aristotle's complete and incomplete syllogisms taken together are understood as formally valid premise-conclusion arguments; and his complete and completed syllogisms taken together as (sound) deductions.
The results obtained from these simulations, which can be qualitatively understood through theories valid for block copolymers in selective solvents, provide the first benchmark studies against which analytical theories can be compared.
At present, repetitive behaviours in autism are incompletely understood, and neurobiologically valid dimensions are yet to be delineated.
However, the mechanisms for formation and post-surgical recurrence of pterygium are not understood, and a valid animal model does not exist.
Treasury officials said they understood that banks had valid reasons for placing higher values on their mortgages than investors, and said they were hoping to avoid major conflicts.
