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It provides the possibility to use high order polynomial enrichments combined with strongly graded meshes.
Moreover, since L K ( E nss ) is strongly graded, then these categories are also equivalent to the full category of modules over the zero-component ( L K ( E nss ) ) 0. So the Leavitt path algebra construction arises naturally in the context of noncommutative algebraic geometry.
For instance, these algebras were used in [1] to produce non-IBN rings having unexpected isomorphisms between their matrix rings; were used again in [2] to solve a question (posed in [79]) about strongly graded rings; and were subsequently investigated yet again in [3], in joint work with P. N. Ánh of the Rényi Institute of Mathematics Hungarian Academy of Sciencess, Budapest).
In particular, we describe how manipulation of the protein-protein binding constants can lead to a multitude of signal response profiles, trending from strongly graded to sharply ultrasensitive.
Fruit and vegetable consumption is strongly graded by socioeconomic status.
Childhood SEP was most strongly graded with educational qualifications.
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Recommendations for average risk patient are considered Grade A- Strongly recommended; Grade B- Recommended; Grade C- No recommendation; Grade d- Recommend against routine use; Grade I- Insufficient evidence to recommend for or against the intervention; NR- No recommendation available.
Counter-propagation and interaction of two ultrasonic harmonic waves in strongly inhomogeneous exponentially graded material is studied.
The responses to each question were graded from strongly agree to strongly disagree; the full list of these questions is given in Additional file 1.
Since cases were matched for tumor grade and MAI (as a constituent of grade) strongly correlates with grade, a difference was not expected here.
However, in the descriptive analysis, waste of time was significantly negatively related to student competence in grade 9 (r = −0.13) and even more strongly in grade 11 (r = −0.29).
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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