A model study for the steady state error of numerical approximations of inviscid flow equations on Cartesian grid

The widely used locally adaptive Cartesian grid methods involve a series of abruptly refined interfaces. In this paper we consider the influence of the refined interfaces on the steady state errors for second‐order three‐point difference approximations of flow equations. Since the various characteristic components of the Euler equations should behave similarly on such grids with regard to refinement‐induced errors, it is sufficient enough to conduct the analysis on a scalar model problem. The error we consider is a global error, different to local truncation error, and reflects the interaction between multiple interfaces. The steady state error will be compared to the errors on smooth refinement grids and on uniform grids. The conclusion seems to support the numerical findings of Yamaleev and Carpenter (J. Comput. Phys. 2002; 181: 280–316) that refinement does not necessarily reduce the numerical error. Copyright © 2005 John Wiley & Sons, Ltd.     

方位伺服系统扭转振动固有频率的分析

本文阐述了伺服系统结构设计中估算系统固有频率的必要性,介绍了一种分析和计算经纬仪方位伺服系统扭转振动固有频率的方法。     

DIELS-ALDER REACTIONS OF FURAN WITH DIENOPHILES CATALYZED BY YbCl3

The yield and stereoselectivity of the Diels-Alder reactions between furan(or 2-methylfuran)and different dienophiles are markedly enhanced by the catalysis of anhydrous YbCl₃.     

Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline

We give in this paper a detailed sample-average analysis of GI/G/1 queues with the preemptive-resume LIFO (last-in-first-out) queue discipline: we study the long-run state behavior of the system by averaging over arrival epochs, departure epochs, as well as time, and obtain relations that express the resulting averages in terms of basic characteristics within busy cycles. These relations, together with the fact that the preemptive-resume LIFO queue discipline is work-conserving, imply new representations for both actual and virtual delays in standard GI/G/1 queues with the FIFO (first-in-first-out) queue discipline. The arguments by which our results are obtained unveil the underlying structural explanations for many classical and somewhat mysterious results relating to queue lengths and/or delays in standard GI/G/1 queues, including the well-known Bene's formula for the delay distribution in M/G/l. We also discuss how to extend our results to settings more general than GI/G/1.     

沈阳市健康人血清中Mg、Zn、Cu、Se、Cr含量及其相关关系探讨

报告了143例沈阳市健康人血清中Mg、Zn、Cu、Se、Cr含量及Cu／Zn值，并指出健康人血清中Mg与Cu量正相关，Mg与Cr呈负相关，Mg与Cu／Zn值呈正相关.Zn与Cr呈正相关.Zn与Cu/Zn呈负相关.Cu与Cr呈负相关。Cu与Cu／Zn值呈负相关.Cr与Cu／Zn值呈负相关.     

芳香族热致液晶聚（对羟基苯甲酸－对苯二甲酸双酚A酯）的流变性能

用Ｉｎｓｔｒｏｎ３２１１型毛细管流变仪研究了以对羟基苯甲酸（ＰＨＢ）、对苯二甲酸（ＴＰＡ）和双酚Ａ（ＢＰＡ）为单体合成的共聚芳酯液晶熔体的流变性能。结果表明，切变速率、熔体温度及ＰＨＢ链节含量对切粘度和结构粘度有很大的影响。切变速率在１０～１０３／Ｓ、温度２９５～３３０℃范围内，共聚酯粘流活化能△Ｅη为７４．５～２０５．１（ｋＪ／ｍｏｌ）。液晶熔体在剪切流中存在屈服应力τｏ，随温度升高τｏ值降低。在低温、低切变速率下，共聚酯熔体的弹性很小，甚至呈现挤出收缩现象。     

双甘肽稀土配合物溶液结构的13C和1H NMR研究

~(13)C and ~1H NMR technique was used to study the interaction of Gly-Gly with heavy lanthanide cations Dy~(3+), Ho~(3+), Er~(3+), Tm~(3+) and Yb~(3+) in aqueous solution. The stability constants for the 1:1 and 1:2 complexes of Gly-Gly with Ho~(3+) and Yb~(3+) were determined from the titration curves of chemical shift versus concentration ratio of lanthanide to Gly-Gly. The solution structure of the Ln-Gly-Gly complex was analyzed based upon the ~(13)C and ~1H lanthanide-induced shifts and the results show that in the complex Gly-Gly is coordinated to the lanthanide ion through the carboxyl oxygens with the backbone of the ligand in an extended state.