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Moreover, we show that the ratio of the frame bounds approaches 1 nearly quadratically as the dilation parameter approaches 1, so that the frame quickly becomes nearly tight (again assuming that the lattice subgroup is sufficiently fine).
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In particular, if the dilation parameter is 21/3, and the lattice subgroup is sufficiently fine, then the "Mexican hat" wavelet, Le-L/2δ, generates a wavelet frame, for which the ratio of the optimal frame bounds is 1.0000 to four significant digits.
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The ratio of α- and β-isomers was maintained at 30: 70 in the formulations used for the study.
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The best ligand (9, sigma-1 Ki = 0.56 nM, selectivity ratio >amp;gt;1000) was obtained with an azepine side-chain.
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The biological activity on cancer cells and the pharmacokinetics have also been evaluated, showing a very high liver-to-skin ratio and short retention time in tissues.
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