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The two types of PTHs, the redundant form and the non-redundant one, are then fully compared with each other in terms of singularity distribution, workspace shape, kinematic performance and stiffness behavior.
Another way to understand this phenomenon is in terms of singularity theory, which suggests that S 1 r and S 2 r are part of the same surface that unfolds a cusp singularity.
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A interesting alternate approach to understanding the Kato cusp conditions in terms of singularities at corners is found in Ammann et al. [11]. .
The most problematic kinds of singularities, in terms of determinism, are naked singularities (singularities not hidden behind an event horizon).
It was found that the characteristics of the stress singularity for such practically important combinations as titanium bolt-head and carbon fiber composite plate are similar to a crack in terms of the power of singularity and uniqueness of the singular term.
A new approach of matched asymptotic analysis is proposed to derive the expression of the fracture energy release rate in terms of the critical singularity exponent and the generalized intensity factors.
A kinematic analysis of the arm in terms of workspace and singularities is presented.
This is defined in terms of monodromy around singularities in the stringy Kähler moduli space and is relatively easy to study using "spherical functors".
McGee (1994, p. 190) presents Popper axioms as a '[n]atural generalization of the ordinary notion of conditional probability in terms of which the singularities that otherwise arise at the edge of certainty no longer appear'.
The comparison between the refined LS1 and 3D-FE models reveals an excellent agreement, even in the vicinity of singularities, in terms of interlaminar stresses and strain energy release rate.
(In terms of the ultimate conceptual categories of singularity, particularity and universality, this discovery would be equivalent to grasping the idea that the singularity of the underlying, non-perceivable substrate or substantial form is meaningful only in relation to something that can bear the particular qualities that constitutes its worldly appearance).
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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