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The condition of a small conditional number prevents an error in Y from causing a large error in θ in 15 The implementation details of the DoE method for choosing sample configurations are described in Algorithm 1 (Appendix).
We analyze its performance using quantitative metrics such as the conditional number, and verify its reliability for the detection of states of polarization.
The maximal number and the list of estimated parameters are determined while the conditional number of the information Fisher matrix (modified E-criterion) is kept below a given upper constraint.
where μ F (A) is the Frobenius conditional number of A. Proof.
The larger the conditional number of controllability matrix, the more control efforts required to accomplish control task.
In this report, we developed a conditional number of controllability matrix, to measure the degree of controllability of the system.
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Collinearity was assessed by examination of bivariate scatterplots, correlation matrix, mean and individual variance inflation factors, and conditional numbers.
Moreover, the proposed model mathematically investigates the conditional expected number of vehicles and tail probability of the expected number of vehicles in a multi-lane highway.
This test involved first computing the logarithm of the causal relative risk of virologic failure, comparing high adherence (90 100%) vs. low adherence (0 49%), conditional on number of consecutive months virally suppressed.
P-values were calculated using a 2-sided Exact Stratified Test conditional to number of cases and taking into account the study effect.
Subgroup analysis, conditional on number of studies retrieved and their sample size, will be stratified on participant disease category, total dose administered, degree of 25(OH D change and type of supplement used.
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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