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It is demonstrated that, under mild conditions, laws of large numbers for continuously observed functional data imply the corresponding laws under the discrete observational design of functions.
Applications to the problem of estimation of expectation functions and covariance surfaces for discretely observed functional data are discussed.
Moreover, their predicted functions fit within the spectrum of previously observed functional roles for different members of the PIWI superfamily.
From this analysis we observed functional and transcriptional coherency within our datasets and identified novel genes potentially functionally related to genes that are operating in activated neutrophils.
This study observed functional and volumetric changes in the parotid glands associated with mobile phone use.
However, we observed functional derangements of geotaxis during recovery phase, similar to functional impairments seen in patients surviving sepsis [2].
The observed functional recovery highlights the potential benefits of plain tissue engineering material, which can further be optimized by bioactive molecule functionalization or transplanted cell encapsulation.
Determining through factor analysis, a smaller number of explanatory factors from 15 different observed functional anthropometric measures observed was a secondary objective.
A strong law of large numbers for continuous random functions, and associated tensor product surfaces is established in the setup of discretely observed functional data.
The observed functional conservation points towards a critical role of this interaction in pathogenic as well as commensal streptococci.
In our HIV-1 cohorts we observed functional defects in pDC in their ability to stimulate NK cells.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com