Extracting the resolution algorithm from a completeness proof for the propositional calculus

We prove constructively that for any propositional formula in Conjunctive Normal Form, we can either find a satisfying assignment of true and false to its variables, or a refutation of showing that it is unsatisfiable. This refutation is a resolution proof of ¬. From the formalization of our proof in Coq, we extract Robinson’s famous resolution algorithm as a Haskell program correct by construction. The account is an example of the genre of highly readable formalized mathematics.     

格值命题逻辑系统中基于滤子的MP归结演绎

给出了格值命题逻辑系统中子句的极简规则型范式,定义了MP归结.结合格蕴涵代数中滤子的性质,对格值命题逻辑系统中基于滤予的MP归结演绎及其语义与语法性质进行了研究,证明了归结演绎的可靠性与完备性定理.为进一步研究格值逻辑的自动归结推理奠定了理论基础.     

Separation performance of single-stranded DNA electrophoresis in photopolymerized cross-linked polyacrylamide gels

Considerable effort has been directed toward optimizing performance and maximizing throughput in ssDNA electrophoresis because it is a critical analytical step in a variety of genomic assays. Ultimately, it would be desirable to quantitatively determine the achievable level of separation resolution directly from measurements of fundamental physical properties associated with the gel matrix rather than by the trial and error process often employed. Unfortunately, this predictive capability is currently lacking, due in large part to the need for a more detailed understanding of the fundamental parameters governing separation performance (mobility, diffusion, and dispersion). We seek to address this issue by systematically characterizing electrophoretic mobility, diffusion, and dispersion behavior of ssDNA fragments in the 70-1,000 base range in a photopolymerized cross-linked polyacrylamide matrix using a slab gel DNA sequencer. Data are collected for gel concentrations of 6, 9, and 12%T at electric fields ranging from 15 to 40 V/cm, and resolution predictions are compared with corresponding experimentally measured values. The data exhibit a transition from behavior consistent with the Ogston model for small fragments to behavior in agreement with the biased reptation model at larger fragment sizes. Mobility data are also used to estimate the mean gel pore size and compare the predictions of several models.     

Ultrasound-promoted Lipase-catalyzed Enantioselective Transesterification of (R,S)-Glycidol

Enantioselective transesterification of glycidol with vinyl butyrate as an acyl donor was investigated in the presence of Bacillus subtilis lipase(BSL2) as catalyst. Comparison studies demonstrate the advantage of ultrasound over the conventional shaking for the enzymatic reaction in non-aqueous media. The effects of reaction conditions(ultrasound power, temperature, water activity and pH) on the activity and enantioselectivity were also investigated. Under the optimum conditions, the synthetic activity of BSL2 was 2.95 μmol·min?1·mg?1 and the enantioselectivity(E value) was 52.2. Compared with conventional shaking, ultrasound made the synthetic activity and the enantioselectivity increase 9.5-fold and 1.4-fold, respectively. Furthermore, the repeated use of BSL2 for five cycles resulted in no obvious loss of enzyme activity, suggesting that the enzyme is stable under low power ultrasound conditions.     

Facile Synthesis of Enantiomerically Pure 1-（5-Bromo-2-chlorophenyl）-1-（4-ethoxyphenyl）ethane

A facile 7-step procedure for the synthesis of enantiomerically pure 1-（5-bromo-2-chlorophenyl）-1-（4-ethoxyphenyl）ethanes[（R）-2 and（S）-2] that started from （5-bromo-2-chlorophenyl）（4-ethoxyphenyl）methanone 3 was developed.The key step was the resolution of 2-（5-bromo-2-chlorophenyl）-2-（4-ethoxyphenyl）acetic acid 6 by crystallizations of its L-and D-menthyl esters 7 and 8 from petroleum ether to give optically pure enantiomers 9 and 10,respectively.The absolute configurations of the products were unambiguously determined by single-crystal X-ray diffractions of four key intermediates,9,10,13 and 14.This procedure is characterized by inexpensiveness,scalability and ability to produce two individual enantiomers of a diarylethane with unambiguously determined absolute configurations and high enantiomeric purities.     

基于中阶梯光栅光谱仪的激光诱导等离子体分析系统研究

为了满足激光诱导等离子体分析系统(LIPS)对分光系统的分辨率,光谱范围,体积等多方面要求。本文研制了一台中阶梯光栅光谱仪,该光谱仪能同时获得所有谱段范围内的光谱信息,令LIPS系统可实现快速在线实时分析。并且,该光谱仪采用可调节延迟时间的ICCD作为后端探测器,令整个系统可根据实际实验情况选择最优延迟时间接收光谱,提高了整个系统的信噪比。最后,搭建了一套激光诱导等离子体分析系统,对研制的中阶梯光栅光谱仪在系统中的可用性进行验证。通过对合金样品测试,整个系统的分辨率达0.02 nm,光谱范围覆盖190～600 nm。并且研制的LIPS系统光谱重复性较好,特征元素波长提取误差不超过0.01 nm,可较准确的对样品成分进行分析。     

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利用一套四极质谱气体分析与测试系统,开展MicroVision Plus四极质谱计的氦(He)、氘(D2)分辨性能实验。分别向分析室送入He和D2,记录质谱图,得到质量刻度和分辨率等信息。He+峰位为(4.0022±0.0006)amu;D2+峰位为(4.0246±0.0006)amu。在10-6～10-4Pa的分压范围,观察到He和D2的分辨率随其分压强的增大而减小。在10-7Pa-m3-s-1的He漏孔条件下,调节D2送气量,He+/D2+分压峰值比在10-1量级可以分辨出He。     

Crystallization of benzimidazole by solution growth method and its characterization

The potential organic NLO crystal of benzimidazole (BMZ) has been successfully grown by slow evaporation solution growth technique at room temperature. The crystalline perfection has been verified by High resolution X‐ray diffraction (HRXRD) analysis. The very low angle boundary obtained for this solution‐grown specimen may be attributed to the segregation of solvent molecules (methanol), which were entrapped within the crystal during growth. The laser damage threshold has been measured by using high intensity Q‐switched Nd:YAG laser. The observed value is greater than that of KDP and lesser than that of melt grown benzimidazole. The NLO efficiency has been determined and it is compared with the KDP crystal. The thermal behaviour has been assessed by TG/DTA analysis. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

二维小波变换与子窗口因子分析法结合用于含噪声HPLC-DAD数据的解析

将二维小波变换与子窗口因子分析法相结合,用于模拟的高噪声HPLC-DAD数据的解析.首先应用二维小波变换滤除噪声,然后采用子窗口因子分析法解析重叠峰.结果表明,信噪比为10的高噪声基本被滤除掉.