Range LCP (longest common prefix) is an extension of the classical LCP problem and is defined as follows: Preprocess a string S[1...n] of n characters, such that whenever an interval [i; j] comes as a query, we can report max{LCP(Sp,Sq) i ≤ p < q ≤ j} Here LCP((Sp, Sq) is the longest common prefix of the suffixes of S starting at locations p and q, and LCP((Sp,Sq)) is its length. This problem was first addressed by Amir et al. [ISAAC, 2011]. They showed that the query can be answered in O(log log n) time using an O(n log 1+ε n) space data structure for an arbitrarily small constant ε > 0. In an attempt to reduce the space bound, they presented a linear space data structure of O(d log log n) query time, where d = (j - i + 1). In this paper, we present a new linear space data structure with an improved query time of O[formula].
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Simvastatin is a selective HMG-CoA reductase inhibitor and ezetimibe has lipid-lowering activity. Both are potential anti-lipidemic agents used in combination to reduce the amount of cholesterol and triglycerides in systemic circulation. This paper describes a simple, precise, and accurate HPTLC method for simultaneous estimation of the compounds as the bulk drugs and in the tablet dosage form. Chromatographic separation was performed on aluminium-backed silica gel 60 F254 plates with 8:2 (v/v) toluene- 2-propanol as mobile phase. The separated spots were densitometrically evaluated at 240 nm. The drugs were satisfactorily resolved with RF values 0.48 š 0.01 and 0.53 š 0.01 for simvastatin and ezetimibe, respectively. The accuracy and reliability of the method were assessed by determination of validation data for linearity (0.4-2.0 µg per spot for both simvastatin and ezetimibe), precision (intra-day RSD 0.51-1.04%, inter-day RSD 0.34-1.11% for simvastatin; intra-day RSD 0.47-0.61%, inter-day RSD 0.31-0.61% for ezetimibe), accuracy (98.50 š 0.23 for simvastatin and 98.99 š 0.38 for ezetimibe), and specificity, in accordance with ICH guidelines. The proposed method can be used for analysis of ten or more formulations on a single plate and is a rapid and cost-effective quality-control tool for routine simultaneous analysis of simvastatin and ezetimibe as the bulk drugs and in tablet formulations.
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Atorvastatin calcium is a selective HMG-CoA reductase inhibitor and ezetimibe has lipid-lowering activity. Both are potential anti-lipidaemic agents used in combination to reduce the amount of cholesterol and triglycerides in systemic circulation. This paper describes a simple, precise, and accurate HPTLC method for simultaneous quantification of these compounds as the bulk drug and in tablet dosage forms. Chromatographic separation of the drugs was performed on aluminium plates precoated with silica gel 60 F254, with toluene–methanol 8:2 (v/v) as mobile phase. Densitometric evaluation of the separated zones was performed at 240 nm. The two drugs were satisfactorily resolved with RF values 0.23 ± 0.01 and 0.39 ± 0.01 for atorvastatin calcium and ezetimibe, respectively. The accuracy and reliability of the method was assessed by evaluation of linearity (0.4–2.4 µg/zone for both atorvastatin calcium and ezetimibe), precision (intra-day RSD 1.16–1.25% and inter-day RSD 1.16–1.44% for atorvastatin calcium, and intra-day RSD 0.47–0.63% and inter-day RSD 0.47–0.88% for ezetimibe), accuracy (98.51 ± 0.23% for atorvastatin calcium and 99.01 ± 0.15% for ezetimibe), and specificity, in accordance with ICH guidelines. The method can be used for analysis of ten or more formulations on a single plate and is a rapid and cost-effective quality-control tool for routine simultaneous analysis of atorvastatin calcium and ezetimibe as the bulk drug and in tablet formulations.
A new amide ligand, N,N'-bis(2-carboxylphenyl)-2,6-pyridinedicarboxamide (BCPD), formed by the condensation of 2,6-pyridine dicarbonyldichloride with 2-aminobenzoic acid has been structurally characterized. Binuclear Cu(II), Co(II), Ni(II), Mn(II), Zn(II) and Cd(II) complexes have been synthesized for the first time. Their structures have been elucidated on the basis of elemental analyses, conductance measurement, magnetic moment, spectral (IR,NMR,UV-Vis, EPR and FAB) and thermal studies. Infrared spectra of the complexes indicate the participation of uncharged amide oxygen atoms, pyridine nitrogen and carboxylic acid groups in a chelating bidentate fashion via deprotonation. The studies reveal that both the metal ions are present in an octahedral environment. Non-electrolytic nature of the complexes is evidenced by their low conductance data. X-band EPR spectra of the binuclear Cu(II) and Mn(II) complexes in polycrystalline state at room temperature and liquid nitrogen temperature were recorded and their salient features are reported. Thermal stabilities of the Zn(II) and Cd(II) complexes have been studied.
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