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We present some refinements of the Cauchy-Schwarz and Heinz inequalities for operators by utilizing a refinement of the Hermite-Hadamard inequality.
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An adversary can remove the independent noise from the correlated time-series by utilizing a refinement method (e.g., filtering), resulting in a lesser than expected effective degree of privacy.
However, it is also suggested that a certain degree of refinement can be achieved by utilizing a uniform distribution of large Si3N4 particles together with a slow cooling procedure.
Using this statistically refined model, we propose a methodology for assessing where the next level of statistical refinement is needed, utilizing a data-mapping framework of 'critical descriptors'.
Bird's effort was a refinement of that approach.
which is a refinement of (1.1).
It's a refinement of the leading Android handset.
leading (12) to a refinement of (8).
which is a generalization and a refinement of inequality (1.2).
Specially, when, it is a refinement of (1.2).
In this paper, such a refinement of (1) is obtained.
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