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Note that when K≫N, the lower bound, known as the Welch bound [32], is approximately ({{mu (mathbf {A}) ge 1} left / {sqrt N }right.}).}
The best deterministic upper bound known for this problem was O(nm1/3logmlogσ) for a general alphabet Σ, where σ=min(m,|Σ|).
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Functional genomic annotation using data derived from breast cancer cell-line models indicates that these SNPs localise to putative enhancer elements that bind known drivers of hormone-dependent breast cancer, including ER-α, FOXA1 and GATA-3.
Contrary to this, the single pig Mup gene encodes a salivary lipocalin (SAL, accession: NM_213814) that is dimorphically expressed in male submaxillary glands and binds known pig sex pheromones [48], [49].
Immunoprecipitation (IP) with anti-GFP antibody was used to determine if MeCP2-R306C binds known interactors.
(B MeCP2-R111G1G rethens the ability to bind known interactors in vivo.
Immunoprecipitation (IP) with anti-GFP antibody was used to determine if MeCP2-R111G binds known interactors.
Furthermore, CTCF-bio binds known CTCF target sites such as the c-Myc insulator and the 3" HS1 of β-globin.
It contains a number of motifs which may bind known transcriptional regulatory proteins such as AP-1, CTF/NF1, ACAAAG, and Ets [ 35].
Moreover, we also prove that if the noise bound is known, then we can set the SM-NLMS so that it never degrades the estimate.
The Hamming bound, also known as the sphere-packing or volume bound is a limit on the parameters of an arbitrary block code.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com