含时量子体系的对称性与守恒量

讨论了与时间相关(含时)量子体系的对称性,给出了含时力学量为守恒量的判据.     

A polynomial time algorithm to solve the single-item capacitated lot sizing problem with minimum order quantities and concave costs

This paper deals with the single-item capacitated lot sizing problem with concave production and storage costs, and minimum order quantity (CLSP-MOQ). In this problem, a demand must be satisfied at each period t over a planning horizon of T periods. This demand can be satisfied from the stock or by a production at the same period. When a production is made at period t, the produced quantity must be greater to than a minimum order quantity (L) and lesser than the production capacity (U). To solve this problem optimally, a polynomial time algorithm in O(T⁵) is proposed and it is computationally tested on various instances.     

Noether-Lie Symmetry of Generalized Classical Mechanical Systems

In this paper, the Noether Lie symmetry and conserved quantities of generalized classical mechanical system are studied. The definition and the criterion of the Noether Lie symmetry for the system under the general infinitesimal transformations of groups are given. The Noether conserved quantity and the Hojman conserved quantity deduced from the Noether Lie symmetry are obtained. An example is given to illustrate the application of the results.     

STRONG CODING THEOREM AND ASYMPTOTIC ERROR EXPONENT OF ARBITRARILY VARYING SOURCE

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An exact algorithm for the Capacitated Total Quantity Discount Problem

In this paper we analyze the procurement problem of a company that needs to purchase a number of products from a set of suppliers to satisfy demand. The suppliers offer total quantity discounts and the company aims at selecting a set of suppliers so to satisfy product demand at minimum purchasing cost. The problem, known as Total Quantity Discount Problem (TQDP), is strongly NP-hard. We study different families of valid inequalities and provide a branch-and-cut approach to solve the capacitated variant of the problem (Capacitated TQDP) where the quantity available for a product from a supplier is limited. A hybrid algorithm, called HELP (Heuristic Enhancement from LP), is used to provide an initial feasible solution to the exact approach. HELP exploits information provided by the continuous relaxation problem to construct neighborhoods optimally searched through the solution of mixed integer subproblems. A streamlined version of the proposed exact method can optimally solve in a reasonable amount of time instances with up to 100 suppliers and 500 products, and largely outperforms an existing approach available in the literature and CPLEX 12.2 that frequently runs out of memory before completing the search.     

On a discrete‐time collocation method for the nonlinear Schrödinger equation with wave operator

We consider a discrete‐time orthogonal spline collocation scheme for solving Schrödinger equation with wave operator. The scheme is proposed recently by Wang et al. (J Comput Appl Math 235 (2011), 1993–2005) and is showed to have high‐order convergence rate when a parameter θ in the scheme is not less than $\frac{1}{4}$. In this article, we show that the result can be extended to include $\theta\in(0,\frac{1}{4})$ under an assumption. Numerical example is given to justify the theoretical result. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013     

The Influence of Addition of Inorganic Carbonates on the Relative Volatility Factor of Light and Heavy Water at Temperatures Close to the Isotope Effect Inversion Temperature

The influence of Na₂, CO₃, K₂CO₃, and Li₂CO₃ addition on the relative volatility factor α of light and heavy water ai temperatures close to the isotope effect inversion temperature has been investigated. The measurements for Na₂CO₃ and K₂CO₃ solutions have been made in the temperature range. 100–330 °C at various salt concentrations. In the case of Li₂CO₃ temperature range and concentration was limited by the solubility of this salt. The factor α was determined by analysis of gas and liquid phases at equilibrium. Data on pure waters obtained by other investigators are listed for comparison. The temperature dependence of factor α for salt solutions and pure waters is presented in the form of equations derived from experimental data.     

Certain Trace Metal Disorders in Urinary Bladder of Bilharzial Patients suffering Bladder Carcinoma

The objective of the present work is to investigate any possible role which could have been played by the long-term treatment with antimony as an antibilharzial drug, and the development of urinary bladder carcinoma in patients suffering bilharzial complications. The present work has been planned to investigate the concentration levels of copper, zinc and antimony in urinary bladder tissues sampled from normal, bilharzial and bladder cancer patients subjected to surgical intervention. Both atomic absorption spectrophotometry and neutron activation analysis have been utilized for elemental estimations. The data obtained showed significant increase in the concentration levels of the three investigated metals in bladder cancer tumours as compared with their control levels under either normal or cancer-free bilharzial complications. The results have been statistically evaluated and discussed in view of the relevant literature. It has been concluded that the contributing role of the antibilharzial antimonial treatment in development of urinary bladder cancer cases cannot be overlooked and awaits further investigation.     

胶粘剂中挥发性醛类化合物的环境气候箱释放模拟及高效液相色谱检测方法研究

建立了检测胶粘剂施工后13种挥发性醛类化合物释放量的环境气候箱-高效液相色谱(HPLC)法。胶粘剂涂覆于基材上,置于恒温、恒湿的气候箱中,采用2,4-二硝基苯肼(DNPH)吸附管从气候箱采样口进行取样,醛类化合物与DNPH发生化学反应生成稳定的苯腙类衍生物,用乙腈进行淋洗、解吸,定容后进行HPLC分析。采用Kromasil KR100-5 C₁₈色谱柱(250 mm×4.6 mm,5μm)分离,以乙腈-水为流动相在流速1.0 mL/min下进行梯度洗脱,色谱柱温度为40℃,检测波长为360 nm。结果表明:13种醛类化合物在一定质量浓度范围内具有良好的线性关系(r≥0.997 7),检出限(LOD)为1.6～20.8μg/m³,回收率为86.3%～115%,相对标准偏差为3.5%～8.6%。该方法具有良好的准确度和精密度,为粘合剂施工后醛类化合物释放量的检测提供了一种新方法。     

磁性纳米粒子富集-电感耦合等离子体发射光谱法测定食具中铬、镍、镉、铅、砷的迁移量

采用氩电弧等离子体法制备磁性碳包铁纳米粒子,考察了其对水溶液中Cr,Ni,Cd,Pb和As的富集能力,建立电感耦合等离子体原子发射光谱同时测定食具中Cr,Ni,Cd,Pb和As迁移量的分析方法。研究了纳米粒子表面经H2O2处理后,pH值、吸附时间、吸附剂用量等因素对各元素富集效率的影响。结果表明,H2O2表面处理可有效提高纳米粒子对待检元素的吸附率。在pH 8.0～9.5范围内,选用30 mg碳包铁纳米粒子定量富集,振荡3 min后,Cr,Ni,Cd,Pb和As均可被磁性碳包铁纳米粒子定量富集,酸性溶液(pH 1～2)可洗脱吸附离子。采用本方法测定了实际样品,各元素回收率在87%～106%之间。