The boundary formulas developed here can be applied without modification to problems in both two and three dimensions.
The model can be expressed in the form of general incremental relationships, can therefore be applied without modification directly to any loading history, and can be readily implemented within a time-stepping numerical code.
The coupled process simulation approach was able to establish a quantitative characterization of the principal flow, transport, and reaction processes based on the 2002 field experiment, that could be applied without modification to describe the 2003 field experiment.
Two such major features are: Because NAEP involves matrix sampling, common model-fit tools such as the item-fit statistics of Orlando and Thissen (2000), which are appropriate when all items are administered to all examinees, cannot be applied without modification.
After normalization, gene expression is measured on a continuous scale such that after an appropriate variance-stabilizing transformation (e.g. log-transformation)—GPLVM can be applied without modification.
Reynolds and Lu have recommended that under autocorrelation "…traditional control chart methodology should not be applied without modification…" [ 55] and Human et al. have recently sounded a cautionary note about the robustness of the conventional EWMA [ 56].
Details on used endpoints, Kaplan-Meier and Cox regression analysis are given in Additional file 4, Supplementary Methods Section 5. Optimized cutoffs for dichotomizing of metagene scores to plot survival curves were derived from the discovery cohort and were applied without modification to the validation cohorts (Additional file 4, Supplementary Methods Section 6).
The integration methods are based on the backward differentiation formulae (BDF) and they can be applied without modifications in the semi-Lagrangian integration of convection diffusion problems.
In their analysis of three open source projects Apache, Python, and PostgreSQL they found that between25%and49% 49 % of all submitted patches were applied without modifications to the code base.
These models were directly applied without any modification to the two validation sets after adjustment of non-biological experimental variation across data sets [18].
