On using an automatic scheme for obtaining the convex hull defining inequalities of a Weismantel 0–1 knapsack constraint

In this short note we obtain the full set of inequalities that define the convex hull of a 0–1 knapsack constraint presented in Weismantel (1997). For that purpose we use our O(n) procedures for identifying maximal cliques and non-dominated extensions of consecutive minimal covers and alternates, as well as our schemes for coefficient increase based tightening cover induced inequalities and coefficient reduction based tightening general 0–1 knapsack constraints.     

Holographic Storage Properties of In：Fe：Mn：LiNbO3 Crystals

In:Fe:Mn:LiNbO3(LN) crystals were grown in air atmosphere by Czochralski method with different concentration of In (0,1,2,3 mol%) in the melts,while the contents of Fe2O3 and MnO were 0.1 and 0.5 mol%,respectively. The location of doping ions was analyzed by Ultraviolet-visible absorption spectra and differential thermal analysis. The diffraction efficiency (η),writing time (τw) and erasure time (τe) of the crystals were measured by two-beam coupling experiment. The dynamic range and photorefractive sensitivity have also been calculated. The results showed that with the increase of In ions in the melt,the absorption edge of In:Fe:Mn:LN crystal shifts to the violet firstly and then makes the Einstein shift,the Curie temperature of crystal increases firstly and then decreases,the storage ratio speeds up,diffraction efficiency decreases,and dynamic range and photorefractive sensitivity increase. The mechanism of holographic storage properties of In:Fe: Mn:LN crystal with different doping concentration of In3+ was investigated,suggesting the In: Fe:Mn:LN crystals are excellent holographic storage materiel with better synthetical properties than Fe:Mn:LN crystals.     

Transmission properties of one-dimensional Photonic crystals containing double-negative and single-negative materials

The transmission properties of one-dimensional photonic crystals containing double-negative and singlenegative materials are studied theoretically.A special kind of photonic band gap is found in this structure.This gap is invariant with scaling and insensitive to thickness fluctuation.But when changing the ratio of the thickness of two media.the width of the gap could be enlarged.The defect modes are analyzed by inducing a linear defect layer in the structure.It is found that the number of defect modes will increase when the thickness of the defect layer becomes larger.     

基于新型广义位移的箱形梁扭转单元及应用

为了改进变截面连续箱梁桥的扭转分析理论,将截面总扭转角分解为自由翘曲扭转角和约束剪切扭转角,选取自由翘曲转角扭率作为广义位移,提出一个2节点8自由度的扭转梁段单元。从约束扭转控制微分方程出发,推导单元刚度矩阵及等效节点荷载列阵。引入应力增大系数,以反映约束扭转对初等梁应力的增大效应。数值算例验证了本文梁段单元的可靠性。最后对一个三跨变截面连续箱梁桥进行分析,结果表明,双力矩影响线与弯矩影响线较为类似,按双力矩影响线进行最不利荷载加载时最大应力值偏小;应力增大系数在集中荷载作用截面出现极值,均发生在腹板与顶板交点处;利用偏载放大系数来考虑扭转附加效应时,不宜考虑弯曲正应力较小及翘曲正应力出现极值的梁段区域。     

高校收费和招生改革的社会影响的博弈模型分析

针对我国高校近年来不断扩大招生规模,提高收费标准等一系列改革举措,本文用微观经济分析的方法,通过建立相应的博弈模型,具体分析了这一系列改革对学生的影响.主要结论一是高校扩招(或提高学费)增大了学生读书的机会成本,同时降低了读书的效用,但只要学生读书的效用严格大于不读的效用,高校就有动力扩大招生或提高学费);二是扩招和提高学费对学生的影响具有动态相对性,其影响力的大小与现阶段二者的相对水平有关;三是在一定条件下扩大招生规模尤其是提高收费水平会使经济条件不同的学生在是否深造和是否选择名校或热门专业上作出完全不同的抉择,产生了教育公平问题.此外还得到了关于高校改革对其自身收益影响的一些结论.     

Volume generation towards dynamic surface morphing in liquid crystal polymer networks

ABSTRACT

Thin coatings based on liquid crystal networks (LCNs) modified with azobenzene moieties are able to create dynamic surface topographies in the micrometre range by exposure with UV light. The surface corrugations can be erased and restored by switching ‘off’ and ‘on’ the UV illumination. Various configurations were presented. The formation of the protrusions was proven to be induced mainly by excessive volume formation when the order in the LCNs is reduced. It is suggested that this extra volume formation can be further enhanced by stimulating the oscillatory dynamics of trans-cis and cis-trans isomerisation. Therefore, dual-wavelength exposure not only exciting the trans state of azobenzene by 365 nm UV light but simultaneously also the cis state by 455 nm blue light was shown to enhance the effect.     

聚碳酸酯熔体在氮气环境中的增黏效应及其机理研究

双酚A型聚碳酸酯(PC)在高温加工过程中容易降解, 表现为黄变和黏度逐渐下降. 本文研究结果表明, 某些PC在N₂气保护下有可能出现熔体增黏效应. 借助动态流变实验研究了7种PC的熔体增黏行为, 利用高效液相色谱(HPLC)和核磁共振波谱(NMR)分析了分子结构演变规律. 结果表明, 与光气法PC熔体黏度先下降后缓慢上升不同, 酯交换法PC熔体随着检测时间的延长黏度上升, 熔体强度增大, 出现更严重的剪切变稀现象. 分子结构表征证实, 在无氧条件下PC分子链发生了支化或交联反应, 形成了高分子量凝胶物. 酯交换法PC在高温下的凝胶化速度比光气法PC高, 导致低频区出现较高的剪切黏度. 我们推测, 端羟基含量可能是造成不同PC凝胶化差异的主要因素.     

The Block Criterion for Multiscale Inference About a Density,With Applications to Other Multiscale Problems

The use of multiscale statistics, that is, the simultaneous inference about various stretches of data via multiple localized statistics, is a natural and popular method for inference about, for example, local qualitative characteristics of a regression function, a density, or its hazard rate. We focus on the problem of providing simultaneous confidence statements for the existence of local increases and decreases of a density and address several statistical and computational issues concerning such multiscale statistics. We first review the benefits of employing scale-dependent critical values for multiscale statistics and then derive an approximation scheme that results in a fast algorithm while preserving statistical optimality properties. The main contribution is a methodology for calibrating multiscale statistics that does not require a case-by-case derivation of its specific form. We show that in the above density context the methodology possesses statistical optimality properties and allows for a fast algorithm. We illustrate the methodology with two further examples: a multiscale statistic introduced by Gijbels and Heckman for inference about a hazard rate and local rank tests introduced by Dümbgen for inference in nonparametric regression.

Code for the density application is available as the R package modehunt on CRAN. Additional code to compute critical values, reproduce the hazard rate and local rank example and the plots in the paper as well as datasets containing simulation results and an appendix with all the proofs of the theorems are available online as supplemental material.     

黑龙江省总体经济预测——基于扩散指数模型

本文以Stock and Watson提出的"扩散指数"模型为基础,建立一个两步骤的"扩散指数"预测模型,并应用于黑龙江省经济增长率的预测。除了依循Stock and Watson的作法外,本文也将变量依其特性区分为商品市场变量与货币市场变量,再分别针对各市场变量估计其扩散指数,然后根据这些指数进行预测。实证结果显示,"扩散指数"预测模型具有相当好的预测绩效,也优于一般模型的预测,因此可以作为未来总体经济预测上的另一种选择。     

C NMR of polyolefins with a new high temperature 10 mm cryoprobe

Recently, a high temperature 10 mm cryoprobe was developed. This probe provides a significant sensitivity enhancement for ¹³C NMR of polyolefins at a sample temperature of 120–135 °C, as compared to conventional probes. This greatly increases the speed of NMR studies of comonomer content, sequence distribution, stereo- and regioerrors, saturated chain end, unsaturation, and diffusion of polymers. In this contribution, we first compare the ¹³C NMR sensitivity of this probe with conventional probes. Then, we demonstrate one of the advantages of this probe in its ability to perform 2D Incredible Natural Abundance Double Quantum Transfer Experiment (2D INADEQUATE) in a relatively short period of time. The 2D INADEQUATE has been rarely used for polymer studies because of its inherently very low sensitivity. It becomes even more challenging for studying infrequent polyolefin microstructures, as low probability microstructures represent a small fraction of carbons in the sample. Here, the 2D INADEQUATE experiment was used to assign the ¹³C NMR peaks of 2,1-insertion regioerrors in a poly(propylene-co-1-octene) copolymer.