Banach空间中的积分算子不动点定理及其应用

利用不动点指数理论得到了若干个积分算子的不动点定理,这些结论可用于研究许多边值问题.利用这些结论研究了Banach空间中二阶两点边值问题正解的存在性,特别的,在有些情况下去掉了Banach空间中的锥必须是正规的这一条件限制,而这一条件限制在许多文献中是必须的.     

基于线阵CCD空间滤波效应的航空相机像移速度测量方法

基于空间滤波测速原理,提出了利用线阵CCD空间滤波效应进行航空相机像移速度测量的新方法。对线阵CCD输出图像进行隔行采样,模拟了多狭缝的空间滤波特性,实现了对航空相机像移速度的光学非接触测量。通过研究空间滤波器的功率谱密度函数,对影响线阵CCD空间滤波特性的关键因素进行了特性分析,并在实验上验证了利用线阵CCD推扫图像模拟多狭缝空间滤波器测量像移速度的可行性。结果表明,对于5～53.2 mm/s范围内的像移速度,测量误差导致的像移量误差不大于1/3 pixel,能够满足航空相机像移补偿精度的要求。     

具有共振的边值问题解的存在性

利用Mawhin的重合度理论,研究具有共振的n-阶m-点边值问题x~((n))(t)=f(t,x(t),x′(t),…,x~((n-1))(t)),t∈(0,1)x(0)=x(η),x′(0)=x″(0)=…=x~((n-2))(0)=0,x~((n-1))(1)=α_ix~((n-1))(ξ_i)解的存在性,其中n≥2,m≥3,f:[0,1]×R~n→R将有界集映为有界集,且当x(t)∈C~(n-1)[0,1]时,f(t,x(t),x′(t),…,x~((n-1))(t))∈L~1[0,1],0<ξ_1<ξ_2<…<ξ_(m-2)<1,0<η<1,α_i∈R.在这里并不要求f具有连续性.     

Application of transcutaneous diffuse reflectance spectroscopy in the measurement of blood glucose concentration

In this paper, the propagation characteristics of near-infrared (NIR) light in the palm tissue are analyzed, and the principle and feasibility of using transcutaneous diffuse reflectance spectroscopy for non-invasive blood glucose detection are presented. An optical probe suitable for measuring the diffuse reflectance spectrum of human palm and a non-invasive blood glucose detection system using NIR spectroscopy are designed. Based on this system, oral glucose tolerance tests are performed to measure the blood glucose concentrations of two young healthy volunteers. The partial least square calibration model is then constructed by all individual experimental data. The final result shows that correlation coefficients of the two experiments between the predicted blood glucose concentrations and the reference blood glucose concentrations are 0.9870 and 0.9854, respectively. The root mean square errors of prediction of full cross validation are 0.54 and 0.52 mmol/1, respectively.     

Application of ^41Ca Tracer and Its AMS Measurement in CIAE

The man-made calcium isotope ^41Ca is an ideal tracer for the study of calcium metabolism. We represent the first application of accelerator mass spectrometry (AMS) measurement of ^41Ca tracer in China. The technique is being applied to the research field of cell messenger at the China Institute of Atomic Energy (CLAE). The sample preparation methods and the AMS measurements are discussed and some interesting results are presented.     

Medium-Range Order Structure and Fragility of Superheated Melts of Amorphous CuHf Alloys

The structural factors of amorphous CuHf alloys at different temperatures are determined by using a high temperature x-ray diffractometer. It is found that not only the short-range order structure but also the medium-range order structure exists in amorphous CuHf alloys. The dynamic viscosities of CuHf alloy melts are measured by a torsional oscillation viscometer. The fragility of superheated melts of CuHf alloys is calculated based on the viscosity data. The experimental results show that the glass-forming ability of the CuHf alloys is closely related to the fragility of their superheated melt. The relationship between the medium-range order structures and the fragility of superheated melts has also been established in amorphous CuHf alloys. In contrast to the fragility of supercooled liquids, the fragility of superheated liquids promises a better approach to reflecting the dynamics of glass forming liquids.     

A Novel Nano-Grating Structure of Polarizing Beam Splitters

A metal wire nanograting is fabricated and used as a polarizing beam splitter that reflects TE polarization and transmits TM polarization. The metal wire nanograting is based on a fully optimized design structure that consists of not only the core nanowire metal grid but also the substrate nanograting. The substrate nanograting is designed to provide better performance for both TM and TE polarizations. We fabricate metal-stripe gratings on a glass substrate using nanoimprint lithography and reactive ion etching process. A detailed investigation of the polarization effect at 1550 nm wavelength is carried out with the theoretical analysis and experimental results. The polarizing beam splitter has uniform performance with wide variations in the incident angle （±25） and has high efficiency for both the reflected and the transmitted beams.     

准静态过程的教学探讨

热力学的内容是以准静态过程的研究为基础的.在大学物理教材中,通常都强调准静态过程的进行一定是无限缓慢.不少教材以气缸中活塞移动为例来说明时,还特地指出,为了使气体在整个过程中处于平衡态,必须使活塞移动的速度非常小,小到以零为极限.如果只强调这点,不进一步说明“缓慢”的意义,往往使人以为它是与实际过程毫不相干的纯粹抽象.同时,因为准静态过程可以用P-V图上曲线表示,而非静态过程是无法在产P-V图上表示出来的(见图一).但是,以后在讨论循环过程时,又常以实际的内燃机、蒸汽机为例,作为准静态过程,在P-V图上计算循环效率.这样,…     

Comparison of Different Crucible Materials for the Growth of AlN Crystals

Choice of crucible material is a key issue during the growth of AlN crystal. The stabilities at high temperature and life-spans of boron nitride (BN) crucible,tantalum (Ta) crucible and tungsten (W) crucible were compared. Tantalum crucible behaved worse at high temperature and life-span was shortened as compared with the other two crucible materials. It was very crisp and easy to crack. In contrast,self-seeded AlN crystals with different morphologies could be obtained at different high temperatures using BN crucible. The boron nitride crucible was stable below 2200 ℃,above which it would decompose. Thus it was unsuitable for the bulky AlN crystal growth. Tungsten crucible could endure the temperatures higher than 2200℃. Unfortunately we could only get AlN polycrystallines using tungsten crucible. After 50～100 hours’ run,the crucible was destroyed completely due to the multiple deep cracks. XRD results of destroyed tungsten crucible indicated that the main phases are tungsten carbide and tungsten nitride.     

2-甲基-4-羟基-6-苯基嘧啶和2-甲基-4-羟基-5-溴-6-苯基嘧啶的高效液相色谱法分离测定

采用ODS-C18色谱柱和紫外检测器,对2-甲基-4-羟基-6-苯基嘧啶和2-甲基-4-羟基-5-溴-6-苯基嘧啶的含量进行HPLC分离测定.以甲醇水=4555为流动相,紫外检测波长为237 nm,样品线性范围为0.001～0.1 mg/mL.2-甲基-4-羟基-6-苯基嘧啶的RSD为0.5%;2-甲基-4-羟基-5-溴-6-苯基嘧啶的RSD为1.0%.