The Sharkovski? Theorem for spaces of measurable functions

We formulate a generalization of the so-called Random Sharkovski? Theorem from paper by Jan Andres, which is the randomized version of the classical Sharkovski? Theorem. We use the method of transformation to deterministic case involving the Kuratowski-Ryll-Nardzewski selection theorem, which allows us to omit the assumption of completeness of the incorporated measurable space. Moreover, we formulate an analogue of the Sharkovski? Theorem for spaces of measurable functions and for Lp-spaces.     

The 160.44 day Lu as a new gamma calibration standard

Gamma emissions in the decay of 160.44 day isomer ^177mLu were analyzed with a 60 cc, coaxial HPGe detector. The energies and intensities of 50 gamma transition - 40 of which belong to the daughter ¹⁷⁷Hf, that was excited by beta decay of the isomer, and 10 to the isomeric transition in ¹⁷⁷Lu were precisely determined. These precise values have resulted in an internally consistent decay scheme for ^177mLu. These gamma intensity and gamma emission probability measurements will help in making the long lived ^177mLu available as a calibration standard for HPGe detectors and also for other applications.     

冷铷原子样品中高效静态光信号的生成与调制

为了提高光信息处理元件的性能,实现高效率光信号的静止与存储,本文建立了由双向耦合场耦合的冷铷（87Rb）原子的四能级双Λ型能级机制,并对此机制在生成静态光信号时要求的高效性、持续时间,控制耦合场所需的操作条件以及对信号场强度的相位调制等进行了研究。首先,选取四能级双Λ型87Rb冷原子精细能级,用一对反向传播的行波激光场对能级进行近共振耦合,并沿耦合场方向输入一个正向弱光信号进行探测。接着,通过适当的绝热开启、关闭耦合场,存储光信号和生成高保真度静态光信号。然后,通过选取87Rb原子的不同精细能级结构,得出实现静态光所需满足的必要条件。最后,采用相位调制法对光信号进行处理。结果表明：生成的静态光信号具有高效性,过程持续时间约为80μs;相位调制法可以周期调节静态光脉冲的强度。在此机制下生成的静态光信号满足高效性、易于全光调节和长时效性等要求。     

含有10元环和12元环的NU-87分子筛对甲烷脱氢芳构化的催化性能

 合成了结构类似于MCM-22分子筛超笼孔系的、具有10元环和12元环交叉孔道结构且12元环通过10元环与分子筛外表面相连的二维高硅分子筛NU-87,利用XRD,SEM,N2吸附及NH3-TPD等手段对其物理化学性质进行了表征. 结果表明,合成的HNU-87分子筛晶体结构中存在两种微孔结构,且具有与HMCM-22分子筛非常相似的酸性. 考察了6%Mo/HNU-87对甲烷无氧芳构化反应的催化性能,发现合成的HNU-87分子筛不是甲烷无氧芳构化催化剂的良好载体. 6%Mo/HNU-87催化剂的催化活性和稳定性都比较差. 积炭是主要产物,其选择性高达60%.     

A note on spectral triples and quasidiagonality

Spectral triples (of compact type) are constructed on arbitrary separable quasidiagonal C^*$C^{*}$-algebras. On the other hand an example of a spectral triple on a non-quasidiagonal algebra is presented.     

Metric on quantum spaces

We introduce the analogue of the metric tensor in the case ofq-deformed differential calculus. We analyse the consequences of the existence of the metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail examples of the Manin plane and theq-deformation of SU(2). Finally we touch the topic of relations with Connes' approach.Partially supported by KBN grant 2P 302 168 4.     

A novel method of DNA transfection by laser microbeam cell surgery

A new technique is presented to incorporate exogeneous gene materials (DNA) into cells with a microbeam irradiation from an uv pulsed laser. A frequency-multiplied Nd:YAG laser, 355 m wavelength, 5 ns pulse duration, punches a self-healing hole of submicrometer aperture in cell membrane under selected irradiation conditions. It takes a fraction of a second for the aperture to close, long enough to allow the foreign DNA, contained in the medium, to slip into the cell. The method offers a clear advantage over existing methods: increases the success rate of DNA transfection as well as the efficiency of cell modification by orders of magnitude.     

Conformational investigation of phenoxycyclohexan-2-one andp-Cl- andp-NO2-phenoxycyclohexan-2-one by molecular mechanics; x-ray crystallographic analysis ofp-NO2-phenoxycyclohexan-2-one

The preferred conformers of phenoxycyclohexan-2-one and p-Cl- andp-NO₂-phenoxycyclohexan-2-ones were calculated by the MM2(87) method. The results are compared with the data from experimental conformational investigations in solution. According to the calculation, the compounds are described by a multicomponent equilibrium, including thesp-G conformer with a planar orientation of the anisole fragment and a mixture of theac-G andT conformers both with planar and with orthogonal arrangement of the aryl group. The structure ofsp-G(0°)p-NO₂-phenoxycyclohexan-2-one was determined by x-ray crystallographic analysis.A. E. Arbuzov Institute of Organic and Physical Chemistry, Kazan' Scientific Center, Russian Academy of Sciences, 420083 Kazan'. Translated fromIzvestiya Akademii Nauk, Seriya Khimicheskaya, No. 6, pp. 1359–1364, June, 1992.     

红酒中的~(87)Sr/~(86)Sr同位素比测定

研究了多接收电感耦合等离子体质谱(MC-ICP-MS)测定红酒样品中87Sr/86Sr同位素比的分析方法,并用建立的分离测定方法参加了欧洲参考物质与测量研究所(IRMM)组织的CCQM-P105国际比对,即红酒中87Sr/86Sr同位素比的分析比对.红酒样品经微波消解后,采用Dowex 50W×8树脂分离纯化锶,用MC-ICP-MS精确测定锶组分中的87Sr/86Sr同位素比,同时对测量结果的不确定度进行了分析和评定.     

Nonlinear statistical coupling

By considering a nonlinear combination of the probabilities of a system, a physical interpretation of Tsallis statistics as representing the nonlinear coupling or decoupling of statistical states is proposed. The escort probability is interpreted as the coupled probability, with Q=1−q defined as the degree of nonlinear coupling between the statistical states. Positive values of Q have coupled statistical states, a larger entropy metric, and a maximum coupled-entropy distribution of compact-support coupled-Gaussians. Negative values of Q have decoupled statistical states and for −2<Q<0 a maximum coupled-entropy distribution of heavy-tail coupled-Gaussians. The conjugate transformation between the heavy-tail and compact-support domains is shown to be for coupled-Gaussian distributions. This conjugate relationship has been used to extend the generalized Fourier transform to the compact-support domain and to define a scale-invariant correlation structure with heavy-tail limit distribution. In the present paper, we show that the conjugate is a mapping between the source of nonlinearity in non-stationary stochastic processes and the nonlinear coupling which defines the coupled-Gaussian limit distribution. The effects of additive and multiplicative noise are shown to be separable into the coupled-variance and the coupling parameter Q, providing further evidence of the importance of the generalized moments.