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In each of these examples, the observed dopamine prediction error responses are not fully explained by the actual experience with reward but incorporate information from models of the world.
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For example, the observed character as a whole may be compared with matrices registered in the memory of the machine.
For example, the observed synchronicity of mean ocean temperature with atmospheric CO2 levels and Antarctic air temperatures leads Bereiter et al. to conclude that the Southern Hemisphere drove Earth out of the glacial period.
As an example, the observed dilatation strain and the principal strain axis are plotted in Fig. 4(b).
For example, the observed wage per day may vary much less between a firm where (for some exogenous reasons) absenteeism is common and one where it is rare than does the estimate from our wage regression.
In this example the observed correlation between schooling and earning could emerge because of effects of IQ on both observational variables and not a causal relationship between the observed variables.
For example, the observed dissipation of triclopyr in a northern lake in Ontario was more rapid than in the southern USA because degradation was primarily photolytic and penetration of light in the clear water of the northern lake was greater than in turbid waters on the southern USA, and day-length was greater in the north [28].
For example, the observed genetic variation within a species can be inflated by the presence of ancestral polymorphisms that have been inherited from the parent species [25].
For example, the observed levels of morbidity and mortality may differ depending on the role played by other inter-current infections and/or pig husbandry and management factors that could also result in more severe economic impacts to the swine industry.
For example, the observed probability for choosing state 55534 over state 33355 was 0.852.
For example, the observed high prevalence of unsafe riding practices implies a need for policy change.
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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