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We also provide an example to show that in the general setting the best possible regularity for the Cheeger-harmonic functions is Lipschitz continuity.
We corroborate the importance of charged residues in bacterial signal sequences and emphasize their position near the N-terminus as possible regularity.
Nonetheless, our integrated model hints at a possible regularity, by revealing the high likelihood of corticocortical connections between areas of similar cytoarchitectonic differentiation, even across comparatively long distances.
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Putnam gave an informal proof of a sort of incompleteness theorem for inductive regularity-learning devices: no matter what algorithm is used in a machine for inducing regularities from experience, and thus becoming able to predict events, there will always be some possible environmental regularities that will defeat it.
Building configuration is defined in the initial design phases, when it is possible to evaluate the regularity of a structure and observe the influence of the proposed design solution onto the structural treatment (structure analysis, dimensioning, and modelling).
We discuss possible origins of this regularity and the existence of a universal mechanism deciding the length of the user posts.
It is however possible (note that a regularity condition has to be verified but this is done easily in our case) to extend (see [34]) the semigroup T ( t ) to the space F × L 2 ( [ − τ m, 0 ], F ).
Two alternative accounts of this striatal activity are possible: "searching" for temporal regularity in early stimulus processing stages or "prediction' of the timing of future tones after the beat is found (relying on continuation of an internally generated beat).
It is of course quite possible that the empirical regularity uncovered with the simple linear relationships estimated above hides more complex phenomena linked to threshold effects or non-linearities in the effect of the PFI or the DES per caput on growth.
The psychologist is not then interested in the psychophysical connections between the somatic or nervous sense-mechanisms and the elicited "inner" phenomena, but solely in describing, "and where possible measuring," the psychological regularities that such experiments can reveal, viz., regular causal links within the domain of the psychic alone (L III: 165).
If one cannot write the equations to define a dynamical system, it may yet be possible to observe statistical regularities in social phenomena.
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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