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The mapping satisfies contractive conditions based on certain classes of functions.
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We start with a more general statement expressing an interrelation between the parametric entropy and a classical entropy measure that is based on certain equivalence classes associated with an arbitrary equivalence relation.
Individuals with a genetic predisposition, mainly based on certain MHC class II alleles, develop an antibody response to citrullinated proteins (anti-citrullinated protein antibodies (ACPA)) and to IgG (rheumatoid factors) combined with a raised systemic inflammatory response.
As a result, Pruitt's security detail "shifted his class based on certain security protocols that require him to be near the front of the plane".
Constructions based on certain geometric structures (designs, projective planes, unitals) yield classes of near-optimal bounds or even exact values.
This study is based on certain assumptions summarized below.
They can be differentiated based on certain imaging features.
CTp is based on certain fundamental requirements.
Our analysis is based on certain assumptions.
A variety of self-assembled pep1tide nanostructures and nanomaterials have been achieved therefrom and more importantly, the advances make the prediction of peptide self-assembly increasingly feasible based on a certain class of peptide sequences and solution conditions.
Based on 135 classes of establishments.
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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