Groups with a positive law on commutators

Let p be a prime number and let G be a finitely generated group that is residually a finite p-group. We prove that if G satisfies a positive law on all elements of the form [a,b][c,d]ⁱ, a,b,c,d∈G and i?0, then the entire derived subgroup G^′ satisfies a positive law. In fact, G^′ is an extension of a nilpotent group by a locally finite group of finite exponent.     

Controlled-dispersion flow analysis : Flow-injection analysis applied to clinical chemistry

Mechanisation came early to clinical chemistry and has passed through a number of phases. Selective multichannel machines, usually discrete analysers with their associated mechanical complexities, have become popular; the simplicity and reliability of flow analysers has been lost. Flow injection offers new opportunities to develop simple selective machines. Sample waste is avoided in the controlled-dispersion flow analyser; the slug of sample is picked up by a probe, the volume being metered by the peristaltic pump driven by a stepping motor under computer control. Reagent waste is avoided by a similar system and use of merging zones. Very economical operation is thus possible and acceptable precision is attained. Various features of the technique, including prolonged incubation, use of kinetic methods to minimise the need for blanks, and application of different detectors are discussed in the context of clinical assays. Anomalous behaviour of particulate matter in flow streams and the changing shape of sample slugs in stationary streams are described. The application of flow-injection systems in clinical chemistry is extremely promising.     

Evidence for the decay D0-->K(-)pi(+)pi(-)e(+)nu(e)

Using a 281 pb{-1} data sample collected at the psi(3770) with the CLEO-c detector, we present the first absolute branching fraction measurement of the decay D0-->K(-)pi(+)pi(-)e(+)nu(e) at a statistical significance of about 4.0 standard deviations. We find 10 candidates consistent with the decay D0-->K(-)pi(+)pi(-)e(+)nu(e). The probability that a background fluctuation accounts for this signal is less than 4.1 x 10{-5}. We find B(D0-->K(-)pi(+)pi(-)e(+)nu(e)) = [2.8{-1.1}{+1.4}(stat)+/-0.3(syst)]x10{-4}. By restricting the invariant mass of the hadronic system to be consistent with K1(1270), we obtain the product of branching fractions B(D{0}-->K{1}{-}(1270)e{+}nu{e})xB(K1-(1270)-->K{-}pi{+}pi{-})=[2.5{-1.0}{+1.3}(stat)+/-0.2(syst)]x10{-4}. Using B(K1-(1270)-->K{-}pi{+}pi{-})=(33+/-3)%, we obtain B(D{0}-->K{1}{-}(1270)e{+}nu{e})=[7.6{-3.0}{+4.1}(stat)+/-0.6(syst)+/-0.7]x10{-4}. The last error accounts for the uncertainties in the measured K1-(1270)-->K{-}pi{+}pi{-} branching fractions.     

The universal earthmoving equation applied to chisel plough wings

This paper compares the results of tests which examined the effect of chisel plough wing geometry on tillage forces with those predicted by the Universal Earthmoving Equation as presented in E. McKyes' book Soil Cutting and Tillage, published by Elsevier (1985). The tests were conducted in the SAIT Tillage Test Track (an outside continous soil bin which contains a sandy loam soil) and in two field soild, one sandy loam and the other a red brown earth. The tests were conducted using a range of speeds from 5 to 15 km/h and at depths of 50 and 70 mm. The tests compared the effects of varying share wing width and rake angle. The comparison of the measured and predicted draft and vertical force responses showed a good correlation between the Universal Earthmoving Equation predictions and the measured width responses, but it did not always predict the correct rake angle responses.     

A photomechanics material for elastoplastic stress analysis

The object of this investigation was to develop a technique or method for elastoplastic stress analysis using the optical effects of transparent materials. Of paramount importance was the selection and characterization of a suitable model material. In particular, it was desirable that the material be able to undergo large plastic strains while, at the same time, exhibiting a suitable level of optical response. A mixture of flexible and rigid polyester resins was found suitable, i.e., the mixture exhibited large strains and good optical response. It was found that unload birefringence (fringe order immediately upon removal of load) could be used to determine strain for a uniaxial-stress field. In particular, it provided a means for evaluating stress- and strain-concentration factors. Comparisons with other methods showed that the proposed method was reliable and gave results that are similar to those by other means. The usefulness of the material and method for two- and three-dimensional problems awaits further study.     

Automated solvent system screening for the preparative countercurrent chromatography of pharmaceutical discovery compounds

A fully automated countercurrent chromatography system has been constructed to rapidly screen the commonly used heptane/ethyl acetate/methanol/water solvent system series and translate the results to preparative scale separations. The system utilizes “on‐demand” preparation of the heptane/ethyl acetate/methanol/water solvent system upper and lower phases. Elution‐extrusion countercurrent chromatography was combined with non‐dynamic equilibrium injection reducing the screening time for each heptane/ethyl acetate/methanol/water system to 17 min. The result enabled solvent system development to be reduced to under 2 h. The countercurrent chromatography system was interfaced with a mass spectrometer to allow selective detection of target components in crude medicinal chemistry reaction mixtures. Mass‐directed preparative countercurrent chromatography purification was demonstrated for the first time using a synthetic tetrazole epoxide derived from a routine medicinal chemistry support workflow.     

PW11Cu/TiO2膜光催化剂的制备及可见光催化性能

以PW₁₁Cu为可见光活性组分,TiO₂为载体结构组分,采用溶胶-凝胶法制备了PW₁₁Cu/TiO₂复合膜可见光催化剂,并用UV-Vis DRS、IR、Raman、XRD、SEM、TEM等手段对催化剂的光吸收性质、化学组成、晶相、表面结构和形貌进行了表征,同时,以模型污染物RhB的可见光降解为探针评估了它的光催化活性,考察了膜处理温度、PW₁₁Cu含量和溶液酸性对催化活性的影响,最后,通过催化剂循环降解RhB试验评估了PW₁₁Cu/TiO₂膜的稳定性。实验结果表明,PW₁₁Cu/TiO₂膜对可见光有明显吸收,低温(100℃)处理的膜为无定形态,高温(500℃)处理的膜为多晶态;低温处理的膜具有较高的可见光催化活性,用于RhB的可见光催化降解,在中性条件下反应80 min,RhB的降解率为100%,TOC去除达32%(4 h);提高溶液酸性有利于催化剂活性的提高,在pH=2.5的条件下,达到100%的RhB降解仅需30 min。在本实验条件下,PW₁₁Cu的最佳剂量是3.0 g。经过10次循环降解RhB,催化剂的光催化活性仍保留约90%。     

Nickel‐Catalyzed Barton Decarboxylation and Giese Reactions: A Practical Take on Classic Transforms

Two named reactions of fundamental importance and paramount utility in organic synthesis have been reinvestigated, the Barton decarboxylation and Giese radical conjugate addition. N ‐hydroxyphthalimide (NHPI) based redox‐active esters were found to be convenient starting materials for simple, thermal, Ni‐catalyzed radical formation and subsequent trapping with either a hydrogen atom source (PhSiH₃) or an electron‐deficient olefin. These reactions feature operational simplicity, inexpensive reagents, and enhanced scope as evidenced by examples in the realm of peptide chemistry.