混合时滞二重边复杂网络自适应同步控制

首先给出了一类更加符合现实情况的混合时滞二重边复杂网络模型, 该模型不仅含有两个不同性质的子网络, 而且同时含有两种时滞--节点时滞和耦合时滞.基于Lyapunov-Krasovskii泛函方法, 在一些保守性较小的假设和对网络参数要求很弱的情况下, 利用合适的不等式放缩, 为网络设计了渐近同步自适应控制器和指数同步自适应控制器, 得到的结果较已有结论保守性有所减小.最后进行实例数值仿真, 说明了方法的有效性.     

Laminar flow in a complex geometry: A comparison

This paper reports on the outcome of a workshop of the IAHR Working Group on Refined Modelling of Flows on the subject of computing laminar flows in complex geometries. Flow inside a channel with a smooth expansion was chosen by the organizers of the workshop as a suitable test case for assessing the capabilities of current numerical methods. The results obtained by fifteen participant groups are presented and compared against a suitable benchmark solution. The most important considerations that emerged at the workshop are briefly reported and the conclusions arising from an analysis and comparison of the various solutions are finally provided.     

Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type

We consider the Segal-Bargmann transform on a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the dual compact case. The isometry theorem involves integration over a tube of radius R in the complexification, followed by analytic continuation with respect to R. A cancellation of singularities allows the relevant integral to have a nonsingular extension to large R, even though the function being integrated has singularities.     

Unitary equivalence to a complex symmetric matrix: An algorithm

We present a necessary and sufficient condition for a 3×3 matrix to be unitarily equivalent to a symmetric matrix with complex entries, and an algorithm whereby an arbitrary 3×3 matrix can be tested. This test generalizes to a necessary and sufficient condition that applies to almost every n×n matrix. The test is constructive in that it explicitly exhibits the unitary equivalence to a complex symmetric matrix.     

Simulation of methane turbulent swirling flame in the TECFLAM combustor

A presumed probability density function (PDF) model for temperature fluctuation is proposed and formulated in this paper. It incorporates the four-step reaction mechanism of methane combustion. A set of analytical expressions is derived for the time-averaged four-step reaction rates. The model is employed to numerically simulate methane turbulent swirling flame in the TECFLAM combustor. The calculated gas axial, radial and tangential velocities, species mass fractions, temperature, and temperature fluctuation are compared with the measured test data. Agreement is achieved between the calculation and the measurement.     

黄河水(清水河段)对铜锌镉铅表观络合容量及总条件稳定常数的测定

本文用物理涂汞电极阳极溶出伏安法测定了4个季节黄河水(清水河段)对铜、铅、镉、锌等的表现络合容量及相应的总条件稳定常数。结果表明:黄河清水河段的络合容量大于黄河口水域的络合容量;总条件稳定常数相近。同一水样对不同金属的络合容量铜为最大,依次为锌、镉、铅;总条件稳定常数的顺序是logK′_(Pb)>logK′_(Cd)>logK′_(Zn)>logK′_(C(?))。四季的水样络合容量夏季最大,秋季次之,再次是冬季,最小是春季。     

磷钼钨杂多酸-3,3′,5,5′-四甲基联苯胺电荷转移复合物的形成与光谱研究

采用紫外一可见光谱和红外光谱法研究了磷钼钨杂多酸和-3，3′，5，5′-四甲基联苯胺形成的电荷转移复合物的性质，结果表明杂多阴离子为Keggin结构，电荷转移复合物的特征吸收波长为660nm，在聚乙烯醇介质中，溶液吸光度与钼的浓度呈线性相关。     

On computing best Chebyshev complex rational approximants

An algorithm for computing best complex ordinary rational functions is presented. The final step of the procedure consists of solving the system of nonlinear equations defined by the local Kolmogorov criterion before checking recently developed sufficient optimality and uniqueness conditions. Various numerical results are reported exhibiting, in particular, nonunique solutions, saddle points and locally best approximants that are not global.     

Synthesis and Structure of the Complexes of 2-Alkoxycarbonylalkyltin Trichlorides with 2-Salicylideneaminophenol

SinceHutton]developedanovelr0utet0preparationofthe2-alkoxycarbonylalkyltintrichIorides,R'OCOCHRCH,SnCI,(l),lhavereceivedconsiderableattenti0nbecauseofthevarietyofcoordinationgeometriesaboutthetinatom.2-'Previ0usly,wehadre-portedtheadducts0flwithneutraIdonorssuchasDMSO,HMPA,bpyandphen.'-'Inthispaper,wereportthesynthesis0fthecomplexes0flwithnegativebivaIentligandderivedfr0m2-salicylideneamin0phenop(H2L),R'OCOCHRCH,SnClL(R=H,Me,R'=Me,Et,n-Pr,Allyl,n-Bu),andthecrystaIstructureof…     

四维空间中的复函数图形及其在二维平面上的投影

复变函数的自变量是两维的，因变量也是两维的，因此复变函的图形是四维的，文中讨论了利用四维空间在二维产面上投影的图示理论绘制复函数图形，并讨论了该图形的一些应用。