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Univocality is relevant for the usability of the ontology for humans, as well as for computational tools that rely on regularity in the structure of terms.
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So many working moms rely on the regularity of the school year that once it's gone, daily life often becomes frenetic and stressful to say the least.
Rather, it is when a mechanistic explanation of the regularities or patterns is developed from underlying principles, while relying on as few assumptions as possible, that a theory is born.
The problem is particularly pronounced in analysis of strongly disordered materials where the local response may be controlled by heterogeneous meso-scale stress and strain patterns, which pose inherent problems to homogenization schemes that rely on a certain regularity and macro-homogeneity of the material response.
We rely on one another".
We note that by doing this we are using the regularities of PDEs indirectly, because the comparison principle in PDE literature relies on the regularities through a regularization procedure.
Spatio-temporal textures circumvent this feature detection step by relying on statistical regularities across the spatio-temporal cube.
Such estimates rely on the (C^{1,alpha }) regularity of solutions to the homogeneous system.
After all, with some regularity we rely on those around us as an important source of information.
Undoubtedly part of the problem with the thesis of natural selection is that it seems to rely on an inductive generalization regarding the regularity of nature (see induction).
Since usual error estimates, however, rely on the boundedness of the γ -shape regularity in the sense of (2.11a) max { | T | / | T ′ | : T, T ′ ∈ T, T ∩ T ′ ≠ 0̸ } ≤ γ, additional bisections have to be imposed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com