双波长倍增示差法测定硫氰酸铵同分异构体

将双波长倍增示差法用于同时直接测定硫氰酸铵及其同分异构体硫脲。该方法基于测定标准溶液和其混合液在 2 1 6和 2 36nm处的吸光度。根据配平系数和斜率计算得到混合液中硫氰酸铵和硫脲的含量。方法具有简单、快速、精确等优点 ,成功地应用于硫氰酸铵异构化反应产物的测定 ,并与双波长分光光度法和反相离子对色谱法进行了比较。     

A sequential quadratic programming with a dual parametrization approach to nonlinear semi-infinite programming

In the sequel of the work reported in Liu et al. (1999), in which a method based on a dual parametrization is used to solve linear-quadratic semi-infinite programming (SIP) problems, a sequential quadratic programming technique is proposed to solve nonlinear SIP problems. A merit function to measure progress toward the solution and a procedure to compute the penalty parameter are also proposed.     

A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions

In this research, by applying the extended Sturm-Liouville theorem for symmetric functions, a basic class of symmetric orthogonal polynomials (BCSOP) with four free parameters is introduced and all its standard properties, such as a generic second order differential equation along with its explicit polynomial solution, a generic orthogonality relation, a generic three term recurrence relation and so on, are presented. Then, it is shown that four main sequences of symmetric orthogonal polynomials can essentially be extracted from the introduced class. They are respectively the generalized ultraspherical polynomials, generalized Hermite polynomials and two other sequences of symmetric polynomials, which are finitely orthogonal on (−∞,∞) and can be expressed in terms of the mentioned class directly. In this way, two half-trigonometric sequences of orthogonal polynomials, as special sub-cases of BCSOP, are also introduced.     

PERIODIC CARDINAL INTERPOLATORY WAVELETS

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Three‐dimensional structural analysis of a block copolymer by scanning electron microscopy combined with a focused ion beam

A three‐dimensional (3D) lamellar structure of a poly(styrene‐block‐isoprene) block copolymer was observed at submicrometer and micrometer levels by scanning electron microscopy combined with a focused ion beam (FIB–SEM). The 3D lamellar structure with an exceptionally large periodicity, about 0.1 μm, was successfully reconstructed, and the size of the reconstructed image by FIB–SEM was 6.0 × 6.0 × 4.0 μm³, which was greater than the transmission electron microtomography data, 3.8 × 3.9 × 0.24 μm³, by a factor of about 40. This result indicates that 3D reconstruction using FIB–SEM is quite useful for direct 3D observations, especially analyses of polymeric materials at the submicrometer and micrometer levels. © 2007 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 677–683, 2007     

A short note on canonical topologies on the real line

The purpose of this note is to study the relationships between Lowen functor, para-Lowen functor and Rodabaugh's dual L-topology on the real line. The conclusion which they coincide in the case of a Hutton algebra is obtained.     

甲基戊糖的双波长紫外分光光度分析法

对一种甲基戊糖的分光光度法加以改进，采用正交设计法选择实验中试剂量的最佳组合，并分析了测定中相关参数的影响。该法简单、快速、精确、灵敏度高，检测线性范围为2－90mg/L，测量鼠李糖的相对误差为2.6%。文中还以实际发酵液作为分析对象，用高压液相色谱法验证了该检测技术的可靠性。     

Brunn-Minkowski inequality for mixed intersection bodies

Dual of the Brunn-Minkowski inequality for mixed projection bodies are established for mixed intersection bodies.     

Generalized projections, decompositions, and the Pythagorean-type theorem in Banach spaces

In this paper, we investigate new properties of the generalized projection operators on convex closed cones in uniformly convex and uniformly smooth Banach spaces; establish decompositions theorems for arbitrary elements both in primary and dual spaces; and prove the Banach space analogue of the Pythagorean-type theorem. Earlier, all these results were known only in Hilbert spaces.     

An efficient algorithm for constructing reversible quasi-cyclic codes via Chinese remainder theorem

Regarding quasi-cyclic codes as certain polynomial matrices, we show that all reversible quasi-cyclic codes are decomposed into reversible linear codes of shorter lengths corresponding to the coprime divisors of the polynomials with the form of one minus x to the power of m. This decomposition brings us an efficient method to construct reversible quasi-cyclic codes. We also investigate the reversibility and the self-duality of the linear codes corresponding to the coprime divisors of the polynomials. Specializing to the cases where the number of cyclic sections is not more than two, we give necessary and sufficient conditions for the divisors of the polynomials for which the self-dual codes are reversible and the reversible codes of half-length-dimension are self-dual. Our theorems are utilized to search reversible self-dual quasi-cyclic codes with two cyclic sections over binary and quaternary fields of lengths up to seventy and thirty-six, respectively, together with the maximums of their minimum weights.