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Using the techniques established in [23 25] one can determine the rate of convergence for all regions of parameters for which we established convergence.
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Motivated by practical concerns, we next consider the constant step size case, for which we establish weak convergence.
The central role in this paper is played by our Fourier integral form, for which we establish positivity and sharp bound properties of the kernels.
The results lead us to propose that both compounds are suicide substrates of tyrosinase, for which we establish the catalytic and inactivation efficiencies.
We collect hundreds of millions of keyword-based queries; we design a paedophile query detection tool for which we establish false positive and false negative rates using assessment by experts; with this tool and these rates, we then estimate the fraction of paedophile queries in our data; finally, we design and apply methods for quantifying users who entered such queries.
Consequently, this ordered class of channels is a subset of the class for which we establish the common message secrecy capacity.
Using the Msx1 lacZ and Msx2 lacZ reporter alleles, we observed that Msx2 is not expressed in the eye vascular tree in contrast to Msx1, for which we establish the spatial and temporal expression pattern in these tissues.
To ensure there were no hidden biases in the sample population, we examined descriptive statistics between the 14 dogs from which we established cells in culture and from the 49 dogs for which we did not establish cell lines.
The observations for this study were 170 340, which was considerably less than 505 which we established for descriptive purposes of the OHIP measures.
Any species or other group that exhibits shape differences should be affected similarly to that which we establish for humans.
Twelve of the lincRNAs for which we have established knockout strains exhibited such expression profile.
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CEO of Professional Science Editing for Scientists @ prosciediting.com