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The matter becomes clearer if we turn our attention to a variant example in which, unlike the shadow example, there are clearly just as many backwards derivations from effects to causes as there are derivations from causes to effects.
In the hard sciences, when dealing with complex systems people have often used higher-level, aggregative concepts that seem to work empirically long before they have a full derivation of effects from the underlying laws of physics.
Based on the theoretical derivation, the effects of different configurations of system parameters and delay control parameters on vibration amplitude are demonstrated in numerical simulation.
In this study we propose for the first time an approach for the tentative derivation of effect-based water quality trigger values for an apical endpoint, the cytotoxicity measured by the bioluminescence inhibition in Vibrio fischeri.
In the derivation, the effect of defocusing loss on the signal intensity that was calculated using the observed atmospheric temperatures, and the effect of antenna mispointing have been corrected.
Details of derivation of effect sizes (Table 3) used for benefit harm analyses are given in the supplementary Material, available at Annals of Oncology online.
The lack of an RSC in OSWER's PRG derivation in effect assumes that 100% of the daily perchlorate exposure comes from drinking water, omitting the contribution from diet.
The derivation includes the effects of heterogeneous pressure because of the Laplace-Young relations for the subsystems.
In Section 6, various results are shown to demonstrate the accuracy of the cooperation region obtained from derivations and the effect of different parameters on the region.
Even though phenelzine treatment virtually abolished REM sleep, enhanced theta activity during wakefulness, and tended to reduce delta power in non-REM sleep in fronto-central EEG derivations, none of these effects correlated with antidepressant response of the patients.
There are a large number of system parameters and this makes empirical derivations of cause and effects extremely difficult.
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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