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An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications,decomposes bounded functions f: →ℂ, into a (well-equidistributed, virtual) s-step nilsequence, an error which is small in L. and a further error which is minuscule in the Gowers U.+1-norm, where . ≥ 1 is a parameter. We then establish a complementary arithmetic counting lemma that counts arithmetic patterns in the nilsequence component of f.
Fluctuate
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MicroRNA Profiling of Cell Lines and Xenografts by Quantitative PCR, to analyze miRNA levels after the transfection of miRNAs of interest using different transfection reagents or intravenous administration of miRNAs conjugated to lipid nanoparticles in cell lines and in mouse xenograft models.
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