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Operator T is well defined by application of Lemma 2.1.
As shown in Figure 4, triangle ABC included the 'white region' defined by application standards.
Although childhood obesity is a categorical outcome by definition, it is usually defined by application of arbitrary cut-off values to continuous measures such as BMI, skin fold thickness or percentage of fat in the body composition [ 1- 3].
Therefore, causal networks defined by application of a simple threshold criterion, π (γ i j = 1 | D ) > ϕ, are potentially erroneous because interfering regulators may be lost since their posterior link probabilities fall below the threshold ϕ.
Axes of genetic variation are defined by application of classical multidimensional scaling (MDS) techniques [ Cox and Cox, 1994] to a matrix of identity by state (IBS) values between all pairs of samples in the study (cases and the expanded control cohort), using genome-wide genotype data.
Delirium is clinically defined by application of a psychiatric reference standard such as the Diagnostic and Statistical Manual (DSM), where the core features are inattention, altered consciousness, cognitive and/or perceptual disturbance, acute and fluctuating change, in relation to a general medical condition.
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In general, these segments were defined by applications commonality: the distribution segment, for example, included all companies for which inventory and physical distribution costs represented a major component of controllable expense.
In the next step, more than 1400 molecular descriptors were defined by DRAGON application server for each compound.
The goal is clear, one aims at computationally cheap approximations that are sufficiently good as defined by the application.
Nevertheless, the information supplied by them usually is limited to certain design conditions defined by the application and extrapolation to other conditions is not straightforward.
Does 'indigence' as defined by the application of the California statute constitute a basis for restricting the freedom of a citizen, as crime or contagion warrants its restriction' We should say now, and in no uncertain terms, that a man's mere property status, without more, cannot be used by a state to test, qualify, or limit his rights as a citizen of the United States.
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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