Zmin上秩-1矩阵的周长不等式及线性保持算子

利用Boolean秩-1矩阵的周长保持性质和Boolean代数B与Z_min上矩阵之间支配关系的等价性获得了Z_min上秩-1矩阵和的周长所满足的不等式, 保持其秩与周长的线性算子以及保持秩-1和周长2的性质.     

The coulometric titration of bromate with cuprous copper

A coulometric procedure has been developed by which 18 to 240 μg quantities of bromate may be determined to within 0.3 μg. The bromate is allowed to react with bromide in an acid solution and electrolytically generated cuprous copper is used for the titration. A dual platinum electrode indicator system is used in an amperometric end-point procedure     

Breakthrough of 2- to 3-μm scale U–Pb zircon dating using Cameca IMS-1280HR SIMS

A zircon U–Pb dating method with a high spatial resolution of 2- to 3-μm was successfully implemented by using Cameca IMS-1280HR SIMS in this study. Homemade cathode and modified intermediate pole were used to improve the intrinsic performance of duoplasmatron ion source. An O⁻ primary beam with intensity of approximately 3 μA and stability of 0.68% over 40 minutes was achieved and could be used continuously for more than 240 hours under high current conditions. Under Gaussian illumination mode, a 2- to 3-μm O⁻ primary beam was obtained with an intensity of approximately 200 pA. Four standard zircons, namely, 91500, Temora, Plešovice, and Qinghu, were dated using the 2- to 3-μm high spatial resolution U–Pb isotopic analysis, yielding U–Pb ages consistent with their recommended values, within errors. Our work shows that zircon U–Pb dating with high accuracy and spatial resolution can be achieved, on the basis of a series of duoplasmatron modification and instrumental optimization.     

Algorithms for Computing U(N) Clebsch Gordan Coefficients

If V ^(m) is an irreducible representation space for the unitary group U(N), then the r-fold tensor product space, is in general reducible. Such a reducible representation can be reduced to a direct sum of irreducible representation spaces, albeit with multiplicity. Clebsch–Gordan coefficients are the overlap coefficients between an orthonormal basis in the tensor product space and an orthonormal basis in the direct sum space. Since such coefficients are basis dependent, bases in the U(N) irrep spaces must be chosen. In this paper we use the Gelfand–Zetlin basis, built out of the chain of subgroups U(N)⊃...⊃U(1). Our first result is to derive algorithms for generating Gelfand–Zetlin bases from Gelfand–Zetlin tableaux. Given these concrete basis realizations we develop algorithms for computing the Clebsch–Gordan coefficients themselves.      

Fast data extrapolating

Data-extrapolating (extension) technique has important applications in image processing on implicit surfaces and in level set methods. The existing data-extrapolating techniques are inefficient because they are designed without concerning the specialities of the extrapolating equations. Besides, there exists little work on locating the narrow band after data extrapolating—a very important problem in narrow band level set methods. In this paper, we put forward the general Huygens’ principle, and based on the principle we present two efficient data-extrapolating algorithms. The algorithms can easily locate the narrow band in data extrapolating. Furthermore, we propose a prediction–correction version for the data-extrapolating algorithms and the corresponding band locating method for a special case where the direct band locating method is hard to apply. Experiments demonstrate the efficiency of our algorithms and the convenience of the band locating method.     

半群的(U,V)-区间值模糊双理想

在半群中引入(U,V) 区间值模糊双理想的概念, 并讨论其基本性质. 给出半群的(U,V) 区间值模糊双理想与模糊双理想以及区间值模糊双理想的关系, 证明半群的(U,V) 区间值模糊双理想的交仍然是半群的(U,V) 区间值模糊双理想, 并讨论半群的(U,V) 区间值模糊双理想直积的相关特性.     

含Cr（Ⅵ）废水处理研究进展

含Cr(Ⅵ)废水若直接排放会造成严重的环境污染,也会对人体健康产生不良影响,因此需处理达标后排放.目前,含Cr(Ⅵ)废水处理方法的研究主要集中于吸附法、膜分离法、离子交换法、电化学法和生物法等,本文结合近几年含Cr(Ⅵ)废水处理研究成果,着重阐述了各种方法处理含Cr(Ⅵ)废水的原理、优缺点和研究现状.     

整流后倒U型管内气液两相流动的稳定性及流型分布

在倒U型管垂直段的两端内分别放置一个整流环，来消除入口弯头对垂直段流动的影响，通过对单相流体在倒U型管内的流动进行数值计算，以及对整流作用下倒U型管内气液流动的稳定性和流型的分布进行实验研究，发现整流环的整流作用可以增强管道内流动的稳定性，实验还发现，倒U型管垂直上升段内的间歇性流动（弹状流和块状流）区域减小，环状流区域增大，流动的稳定性增强。     

The structure of cyclopentene oxide determined by gas phase electron diffraction

The r_g structure of cyclopentene oxide has been determined by the simultaneous least squares analysis of electron diffraction and microwave spectroscopic data. The investigation has reaffirmed previous studies indicating that the molecule prefers a boat conformation. The methylene and epoxide flap angles obtained are 152.3±2.1° and 104.7±1.0° respectively. Other structural parameters determined are: r_g (C-H avg.) = 1.120±0.004 Å; r_g (C-C avg.) = 1.538±0.002 Å; r_g (C-O) = 1.443±0.003 Å, and r_g (C-C) = 1.482±0.004 Å for the carbon-carbon bond in the three membered epoxide ring. These results compare favorably with the reported structures of ethylene oxide and cyclohexene oxide. A tentative rationalization of the unusual boat conformation is also offered.