Isometries for the modulus metric in higher dimensions are conformal mappings

For a proper subdomain D of Rn and for all x, y ∈ D define ■,where the infimum is taken over all curves C_(xy)= γ[0, 1] in D with γ(0) = x and γ(1) = y, and Cap denotes the conformal capacity of condensers. The quantity μD is a metric if and only if the domain D has a boundary of positive conformal capacity. If Cap(?D) 0, we call μD the modulus metric of D. Ferrand et al.(1991) have conjectured that isometries for the modulus metric are conformal mappings. Very recently, this conjecture has been proved for n = 2 by Betsakos and Pouliasis(2019). In this paper, we prove that the conjecture is also true in higher dimensions n≥3.     

Q-switched operation of an in-band-pumped Ho:LuAG laser with kilohertz pulse repetition frequency

We report continuous-wave (CW) and repetitively Q-switched operation of an in-band-pumped Ho:LuAG laser at room temperature. End-pumped by a Tm:YLF solid-state laser with emission wavelength of 1.91 μm, the CW Ho:LuAG laser generated 5.4-W output at 2100.7 nm with beam quality factor of M ²～1.03 for an incident pump power of 14.1 W, corresponding to slope efficiency of 67% with respect to absorbed pump power. Up to 1.5-mJ energy per pulse at pulse repetition frequency (PRF) of 3 kHz and 4.5-W average power with FWHM pulse width of 28 ns at 5 kHz were demonstrated in repetitively Q-switched operation.     

铂修饰超细纤维聚苯胺在葡萄糖生物传感方面的应用

在不锈钢电极(SS)表面制得超细纤维状聚苯胺(superfine-fibrous PANI),经Pt微粒修饰后得到Pt微粒超细纤维聚苯胺复合电极[Pt／(superfine-fibrous PANI)／SS]。结果表明,直径50-100nm的Pt微粒均匀分布于直径约100nm的聚苯胺纤维上;Pt／(superfine-fibrous PANI)／SS电极对H2O2氧化具有很好的电催化活性。采用脉冲电流法(PGM)再将葡萄糖氧化酶(GOD)与间苯二胺(MPD)混合共聚嵌于Pt／(superilnefibrous PANI)／SS电极表面,获得了具有优异生物电化学传感特性的葡萄糖氧化酶电极。该酶电极最大响应电流密度im=917．4μA／cm^2,米氏常数K=9．339mmol／L;酶电极对葡萄糖响应快,对尿酸和抗坏血酸有很好的抗干扰性能。     

Poly­[[bis(1H‐benz­imidazole‐κN3)cadmium(II)]‐μ‐aqua‐μ‐succinato‐κ2O1:O4]

The title compound, [Cd(C₄H₄O₄)(C₇H₆N₂)₂(H₂O)]_n, is a three‐dimensional polymeric complex. The Cd^II atom is located on an inversion centre and assumes an elongated octahedral coordination geometry, with a long Cd—O distance of 2.5381 (5) Å to the coordinated bridging water molecule. The succinate dianion, located on another inversion centre, bridges adjacent Cd atoms to form succinate‐bridged polymeric chains. The coordinated water mol­ecule is located on a twofold axis and links adjacent succinate‐bridged chains to form a water‐bridged polymeric chain.     

工程结构支撑条件优化设计

提出了一种将结构支撑位置和支撑类型作为设计变量的优化设计方法,就支撑条件改变对结构受力的影响进行了分析,论述了如何在遗传算法中实现结构支撑位置和支撑类型的优化．并通过数值算例说明了结构支撑条件的转变对结构的影响,证明结构支撑条件的优化处理对提高结构性能是有效的．     

9-(2-羟乙基)-吖啶酮柱前衍生胆汁酸高效液相色谱分析

采用一种新型紫外、荧光衍生试剂 9 ( 2 羟乙基 ) 吖啶酮 (HEA) ,在缩合剂 1 乙基 3 ( 3 二甲氨丙基 ) 碳酰二亚胺 (EDC·HCl)及碱性催化剂 4 二甲氨基吡啶 (DMAP)的存在下 ,对 1 0种胆汁酸进行柱前衍生 ,并通过荧光检测的方法进行高效液相色谱 (HPLC)分析。在HypersilBDSC18柱上 ,采用梯度洗脱 ,1 0种胆汁酸衍生物获得了基线分离 ,衍生物的激发和发射波长为λex/λem=40 4/44 0nm。衍生产物稳定性好 ,检测灵敏度高 ,按信噪比S/N =3∶1 ,平均检出限可达 8.3fmol。     

毛细管电泳-电感耦合等离子质谱联用的接口设计

描述了毛细管电泳电感耦合等离子体质谱(CE-ICP-MS)联用技术的单T型接口,自行设计了双T型接口,并对两接口的分析性能作了比较。解决了接口中的常见问题,使用节流阀减小自吸作用并降低了CE分离物的稀释倍数,排气阀使提升量保持稳定。经考察得知,采用自吸作用提升液流流量稳定,其重现性RSD小于5％;双T型接口较单T型接口对CE分离更有利。采用双T型接口联用时,CE分离La、Ce、Nd混合离子迁移时间RSD小于2％,MS信号RSD小于15％,且不同浓度样品经CE分离后其MS信号基本呈线性关系。     

基于折反射原理的层去反求技术研究

为了克服传统层去反求测量中图像衬比度较低的缺陷,提出一种新的基于棱镜反射原理的层去反求图像摄取方法。该方法利用棱镜的全发射和折射作用提高图像衬比度,根据物体反射率的高低可分别采用垂直照明和倾斜照明,分别可获得高衬比度的亮目标暗背景和暗目标亮背景图像,为了校正由于折反射引入的几何变形,推出了相应的数学变换模型。该研究已成功投入实际产品校正的应用中,研究表明这种新的层去法比起传统的层去法不仅在于图像衬比度高,而且物体截面图像的轮廓更清晰可靠、无需填充反差材料,有望在零件及模型的反求测量中发挥较大的作用。     

惯性约束聚变中环孔编码图像恢复的改进维纳滤波方法

针对惯性约束聚变(ICF)中环形孔径编码图像的恢复问题提出了一种改进的维纳滤波方法。在传统的维纳滤波方法中,由于原图像和噪声是未知的,故通常是用某一待定常量来代替其中的噪声与信号的谱密度之比。这种近似忽视了信号与噪声本身的信息,从而造成丢失某些关键的细节,难以达到高质量的图像复原效果。在改进的方法中,首先采用传统维纳滤波方法求得初始估值,然后利用该初始值求得原图像及噪声的谱密度估值,进而利用这些新获得的信息构成改进的维纳滤波器对退化图像进行第二次滤波。实验表明,这种改进方法可以克服原方法的不足,突出图像的一些关键细节,提高图像的整体质量。在仿真实验中,恢复图像的均方误差降低了15％以上;在实际惯性约束聚变图像的解码恢复实验中,图像恢复效果亦有显著改善。该方法还可以推广到其他图像恢复的应用中。     

A framework of irregularity enlightenment for data pre-processing in data mining

Irregularities are widespread in large databases and often lead to erroneous conclusions with respect to data mining and statistical analysis. For example, considerable bias is often resulted from many parameter estimation procedures without properly handling significant irregularities. Most data cleaning tools assume one known type of irregularity. This paper proposes a generic Irregularity Enlightenment (IE) framework for dealing with the situation when multiple irregularities are hidden in large volumes of data in general and cross sectional time series in particular. It develops an automatic data mining platform to capture key irregularities and classify them based on their importance in a database. By decomposing time series data into basic components, we propose to optimize a penalized least square loss function to aid the selection of key irregularities in consecutive steps and cluster time series into different groups until an acceptable level of variation reduction is achieved. Finally visualization tools are developed to help analysts interpret and understand the nature of data better and faster before further data modeling and analysis.