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It holds for the invertible Hermite matrices and provides refinements of the classical results.
The SHAPE information provides refinements for the experimental determined thermodynamic parameters (Turner and Mathews 2010) for RNA folding.
The article provides refinements and generalizations of the Hermite-Hadamard inequality for convex functions on the bounded closed interval of real numbers.
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Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, complement and provide refinements of some known results in literature.
(ORT Part III; EHO; CIS Part II; AC) The task of the intellectual, with respect to social justice, is not to provide refinements of social theory, but to sensitize us to the suffering of others, and refine, deepen and expand our ability to identify with others, to think of others as like ourselves in morally relevant ways.
Correlation of these findings with pre-operative tumour regression, PFS and overall survival will provide refinements in mechanistic hypotheses linking docetaxel efficacy and PDGFR phosphorylation.
The case of unitary vectors provides more refinements as follows.
The method also provides a refinement mechanism in which machines may pass through a series of refinements until they reach an algorithmic implementation, called B0, which can be automatically converted into code.
A technique called indexing provides a refinement over library subject headings.
It provides a refinement of the Massera-Schäffer inequality [7]: (2.7).
Hence inequality (3.13) provides a refinement of inequality (2.3) in [13] if written for (lleq b).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com