A limit theorem for renewal sequences with an application to local time

Summary Let 0<h() and {S _n} a renewal process. We find conditions under which ast wherem=ES ₁, (t) = min (nS _n>t}. We apply these results to obtain sample path representation of local time at a point for a Markov process.Research supported in part by a grant from the National Science Foundation, USA     

Analysis of a basic drug by on-line solid-phase extraction liquid chromatography/tandem mass spectrometry using a mixed mode sorbent

Two on-line configurations using multiple 6- and 10-port valves were investigated for high-flow on-line extraction of a basic drug in rat plasma and human urine using a reversed-phase and a cation-exchange SPE sorbent. The first configuration studied was a single reversed-phase extraction cartridge (2.1 x 20 mm, 25 microm) using an optimized washing protocol. The results showed that up to 1.5 mL of sample (urine or plasma diluted 1:1) can be injected with limits of quantification (LOQs) as low as 100 pg/mL. The second configuration studied was the combination of a cation exchanger and a reversed-phase cartridge using at-column dilution. The results showed better LOQs than those obtained with the single cartridge at 10 pg/mL with the same injection volume. The mass spectrometer was operated in the multiple reaction monitoring (MRM) mode. All calibration curves gave an average of 5% relative standard deviation (RSD).     

Asymmetric synthesis of quaternary alpha- and beta-amino acids and beta-lactams via proline-catalyzed mannich reactions with branched aldehyde donors

[reaction: see text] L-Proline-catalyzed direct asymmetric Mannich reactions of N-PMP protected alpha-imino ethyl glyoxylate with various alpha,alpha-disubstituted aldehydes affords quaternary beta-formyl alpha-amino acid derivatives with excellent yields and enantioselectivities. The Mannich products are further converted to the corresponding quaternary alpha- and beta-amino acids and beta-lactams.     

Structure Elucidation of the First Inhibitors of Human Papillomavirus Type 11 E1?E2 Protein?Protein Interaction

A novel series of inhibitors of the HPV11 E1? E2 protein? protein interaction was identified. These inhibitors, which were discovered as a result of high‐throughput screening, feature an indandione system spiro‐fused onto an appropriately substituted tetrahydrofuran ring. Early stability studies indicated, surprisingly, that this particular series of compounds were readily converted, in binding assay buffer, to the corresponding carboxylates. NMR and mass spectrometry techniques were used to elucidate the structures of these products and the mechanism by which they are produced.     

Log-Concave Functions And Poset Probabilities

   elements of some (finite) poset , write for the probability that precedes in a random (uniform) linear extension of . For define

1,1′‐Dimethoxy‐3,3′‐dimethyl‐3,3′‐(hexane‐1,6‐diyl)bis(triazen‐2‐ium‐2‐olate): a nitric oxide donor

The title compound, C₁₀H₂₄N₆O₄, is the most stable type of nitric oxide (NO) donor among the broad category of discrete N‐diazeniumdiolates (NO adducts of nucleophilic small molecule amines). Sitting astride a crystallographic inversion center, the molecule contains a symmetric dimethylhexane‐1,6‐diamine structure bearing two planar O²‐methylated N‐diazeniumdiolate functional groups [N(O)=NOMe]. These two groups are parallel to each other and have the potential to release four molecules of NO. The methylated diazeniumdiolate substituent removes the negative charge from the typical N(O)=NO⁻ group, thereby increasing the stability of the diazeniumdiolate structure. The crystal was nonmerohedrally twinned by a 180° rotation about the real [101] axis. This is the first N‐based bis‐diazeniumdiolate compound with a flexible aliphatic main unit to have its structure analyzed and this work demonstrates the utility of stabilizing the N‐diazeniumdiolate functional group by methylation.     

ARPES studies of the electronic structure of LaOFe(P, As)

We report a comparison study of LaOFeP and LaOFeAs, two parent compounds of recently discovered iron-pnictide superconductors, using angle-resolved photoemission spectroscopy. Both systems exhibit some common features that are very different from well-studied cuprates. In addition, important differences have also been observed between these two ferrooxypnictides. For LaOFeP, quantitative agreement can be found between our photoemission data and the LDA band structure calculations, suggesting that a weak coupling approach based on an itinerant ground state may be more appropriate for understanding this new superconducting compound. In contrast, the agreement between LDA calculations and experiments in LaOFeAs is relatively poor, as highlighted by the unexpected Fermi surface topology around (π, π). Further investigations are required for a comprehensive understanding of the electronic structure of LaOFeAs and related compounds.