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In the light of the examples analysed in the previous section, we can now present our ideas and beliefs on integrability and its detection.
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To this end, he made up the lamp example analysed in section 1.3, since known as 'Thomson's lamp'.
In the experiments, the Ti in the starting crystals of Mount Porndon olivine, which is low anyway (~20 ppm in an example analysed by Eggins et al. 1998), would have been lost during recrystallisation, while the infrared fingerprint of the [Ti] substitution was only recognised later (Berry et al. 2005).
Thirty-four people returned their completed forms within one week, providing 34 data-sets for each example which are analysed in this article.
For the particular example analysed here, of possible interest in oil extraction or in microfluidic problems, the non-equilibrium effects may yield a reduction of the order of 10% of the extraction rate.
Many other examples exist, some are analysed in the following.
The difference in speed between an MCMC and a MAP estimation algorithm is far from trivial: while the run time of an MCMC algorithm is typically hours at the lowest, our generalized expectation maximization (GEM) algorithms perform the example analyses in some 20 sec.
An example of this has been analysed in a recent paper in Nature Climate Change that tried to get a grip on the sources that US politicians used to inform themselves about climate change.
We demonstrate how this assessment can proceed through the cases analysed in An example: digital epidemiology with social media section.
For example, analysing effective connectivity in healthy subjects performing rhythmic fist closures with the left or right hand showed that neural coupling among key motor areas is symmetrically organized (Fig. 2A).
For example, analysing the individual domains separately in the present study showed that age-related hormonal decline was reported as having the most negative impact on the men's memory, energy, sex life, and physical stamina.
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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