Studies on Rare Earth Complexes with Open－chain Crown Ethers（Ⅶ）──Preparation，Characterization and Structure of Rare Earth Complexes with N，N＇－Diethyltriglycollic Dianilide

ＳｔｕｄｉｅｓｏｎＲａｒｅＥａｒｔｈＣｏｍｐｌｅｘｅｓｗｉｔｈＯｐｅｎ－ｃｈａｉｎＣｒｏｗｎＥｔｈｅｒｓ（Ⅶ）──Ｐｒｅｐａｒａｔｉｏｎ，ＣｈａｒａｃｔｅｒｉｚａｔｉｏｎａｎｄＳｔｒｕｃｔｕｒｅｏｆＲａｒｅＥａｒｔｈＣｏｍｐｌｅｘｅｓｗｉｔｈＮ，Ｎ＇...     

Complex Fractional Programming and the Charnes-Cooper Transformation

We extend the Charnes-Cooper transformation to complex fractional programs involving continuous complex functions and analytic functions. Such problems are shown to be equivalent to nonfractional complex programming problems. This technique is employed also to reduce complex linear fractional programs to complex linear programs. More generally, it can be shown that complex convex-concave fractional programming problems are equivalent to complex convex nonfractional programs using the generalized Charnes-Cooper transformation.The third author gratefully acknowledges the support of the National Center of Theoretical Sciences, National Tsinghua University, Hsinchu, Taiwan during his visit in June 2002 when this research project was started.     

Numerical Simulation and Analysis of a New Type of Complex Cavity for Gyrotron Applications

A new type of complex cavity structure is used to improve the selectivity of modes in gyrotron resonant cavity with a rational position of inter-cavity wall and the shape of coupling holes between inter- and outer-cavities. The resonant characteristics of the complex cavity operating in TE₀₂₁/TE₀₃₁ mode at Ka frequency band are simulated and analyzed with Ansoft HFSS code, which shows that mode competition can effectively be alleviated with the cavity structure and it may be useful to the formation of clustered-cavity for extending interaction frequency bandwidth.     

Duane-LR模型下复杂系统的动态可靠性增长评定

基于复杂系统可靠性增长试验的特点，运用Duane可靠性增长模型结合数理统计中的线性回归方法对新批次产品的可靠性参数进行预测。结合产品的少量现场试验数据，利用Bayes方法对系统的可靠性增长试验结果进行评定。文中首先给出了可靠性增长分析的模型，然后运用历次阶段试验中的可靠性增长数据建立动态参数的递推估计模型，在此基础上，运用随机变量函数的分布，给出各阶段可靠性增长试验中可靠性参数的Bayes估计。文中对Weibull、指数和二项分布三种试验结果进行分析，给出计算公式。     

On Shioda-Inose structures of one-parameter families of K3 surfaces

We develop an algorithm to determine a one-parameter family of elliptic curves associated to a one-parameter family of K3 surfaces with generic Picard number 19 by a Shioda-Inose structure. The family of elliptic curves is determined up to an isomorphism and an isogeny. An application to a generalized congruence number problem is also discussed.     

[Na(15-C-5)]2[Pd(SCN)4]配合物的合成与结构分析

研究了15-冠-5(15-C-5)与Na2[Pd(SCN)4]的反应,得到的配合物[Na(15-C-5)]2[Pd(SCN)4]通过元素分析、红外光谱、单晶X射线衍射进行了结构分析.该配合物为单斜晶系,空间群C2/c,晶体学数据: a=1.3525(6)nm,b=1.3729(6)nm,c=2.0312(9)nm,β=102.985(6)°,V=3.675(3)nm3,Z=4,F(000)=1696,R1=0.0288,wR2=0.0457.结构分析表明,该配合物由两个[Na(15-C-5)]+配阳离子和一个[Pd(SCN)4]2-配阴离子组成,二者通过Na-N相互作用形成二维网状结构.     

{[K(18-C-6)][K(H2O)2]}[Cd(CN)4]的合成与结构分析

合成了配合物 { [K(18- C- 6 ) ][K(H2 O) 2 ]} [Cd(CN) 4 ](1) ,并通过元素分析、红外光谱、单晶 X-射线衍射进行了结构分析。配合物属单斜晶系 ,空间群 P2 (1) / n。晶体学数据 :a=0 .936 5 3(18) nm,b=1.6 178(3) nm,c=1.74 81(3) nm,β=91.332 (3)°,V=2 .6 479(9) nm3 ,Z=4 ,Dcalcd=1.4 5 3g/ cm3 ,F(0 0 0 ) =12 0 8,R1=0 .0 317,w R2 =0 .0 5 6 7。配合物中 [K(18- C- 6 ) ],[K(H2 O) 2 ]和 [Cd(CN) 4 ]基团通过 K N键和 K —π相互作用形成三维网状结构     

具有五配位Zn中心的微孔金属有机

在有机溶剂THF中 ,合成了一个新颖的、以对苯二甲酸 (BDC)和三乙烯二胺为桥联配体、具有二维骨架结构的金属有机微孔配合物Zn2 (BDC) (DABCO) (H2 O) 2 ,并对其进行了单晶结构解析 ,证实该晶体结构属单斜晶系 ,空间群C2 /c ,a =10 .871(17) ,b =19.10 (3) ,c=7.15 5 (11) ,α=90 ,β =115 .99(3) ,γ =90 ,Z =8,V =1335 (4 ) ,Dc=2 .0 85 g/cm3 ,R =0 .0 85 8.     

Ein Verfahren zur Messung der komplexen Dielektrizitätszahl an kleinen Flüssigkeitsmengen im Frequenzbereich von 0,7–25 GHz mit Hohlraumresonatoren

A method is described for measuring the complex relative permittivity of liquids. Circular cylindrical TE₀₁₁-, TM₀₁₀- and coaxial-line-resonators are used. The liquid under test is contained in a narrow glass tube (volume<0.5 ml) which is placed concentrically along the axis of the cavity resonator. Besides the knowledge of the diameter of the glass tube and the dimensions of the resonator only frequency measurements are required. The accuracy of the method (error±5% of the absolute value for both, the real- and imaginary part of the permittivity) is comparable to other methods requiring a larger amount of liquid. Furthermore, permittivity variations can be measured very sensitively because these are indicated by shifts of the resonance frequency as well as changes of the quality constant, which can both be determined with an error smaller than 0.5%. Some experimental results for water and an aqueous phospholipid suspension are given to demonstrate the accuracy of the method.

     

Towards artifact-free characterization of surface topography using complex wavelets and total variation minimization

A hybrid method based on dual-tree complex wavelet transform and total variation minimization is proposed for erasure of undesirable artifacts that arise in the existing wavelet-based methods in surface metrology. The complex wavelet transform provides approximate shift invariance and good directional selectivity, and attempts to solve the weakness of real discrete wavelet methods. Reconstruct the complex wavelet coefficients using a total variation minimization principle to eliminate the wavelet-shape artifacts and the pseudo-Gibbs artifacts near the discontinuities, which are caused when thresholding small wavelet coefficients. By replacing these thresholded complex wavelet coefficients by optimal values that minimize the total variation, the method performs a close artifact-free surface characterization. Numerical experiments using a series of typical engineering and bioengineering surfaces demonstrate the remarkable potential of the methodology.