Generalizations of Slater's constraint qualification for infinite convex programs

In this paper we study constraint qualifications and duality results for infinite convex programs (P) = inf{f(x): g(x) – S, x C}, whereg = (g ₁,g ₂) andS = S ₁ ×S ₂,S _i are convex cones,i = 1, 2,C is a convex subset of a vector spaceX, andf andg _i are, respectively, convex andS _i -convex,i = 1, 2. In particular, we consider the special case whenS ₂ is in afinite dimensional space,g ₂ is affine andS ₂ is polyhedral. We show that a recently introduced simple constraint qualification, and the so-called quasi relative interior constraint qualification both extend to (P), from the special case thatg = g ₂ is affine andS = S ₂ is polyhedral in a finite dimensional space (the so-called partially finite program). This provides generalized Slater type conditions for (P) which are much weaker than the standard Slater condition. We exhibit the relationship between these two constraint qualifications and show how to replace the affine assumption ong ₂ and the finite dimensionality assumption onS ₂, by a local compactness assumption. We then introduce the notion of strong quasi relative interior to get parallel results for more general infinite dimensional programs without the local compactness assumption. Our basic tool reduces to guaranteeing the closure of the sum of two closed convex cones.     

[IrBr6]2-的反对称极化率与圆偏振激光诱导的ESR谱频移

在理论上研究了顺磁性粒子体系的圆偏振激光诱导的ＥＳＲ谱频移效应。给出磁场中分子反对称极化率的公式，并以［ＩｒＢｒ６］＾２－离子为例讨论了吸收带半高宽的影响。计算了［ＩｒＢｒ６］＾２－的ＥＳＲ谱在圆偏振激光作用下的频移。结果发现：在光学共振区附近，ＥＳＲ频移可达１ＭＨｚ的量级，与钠原子体系结果类似。     

Chemical mass shifts in resonance ejection experiments in the quadrupole ion trap

Chemical mass shifts were measured in a Paul ion trap operated in the mass-selective instability scan with resonance ejection using a custom-built instrument. These shifts, which can be as much as 2%, decrease with increasing endcap electrode separation owing to changes in the higher order contributions to the electric field. They also decrease with decreasing helium buffer gas pressure. Both of these effects are analogous to those found with boundary ejection. This suggests that the previously proposed chemical mass shift mechanism based on compound-dependent collisional modification of the ejection delay produced by field faults near the endcap electrode apertures holds true also for resonance ejection. The influence of the resonance frequency on chemical mass shifts was also investigated and it is shown that at certain working points (values of the Mathieu parameter q(z) and a(z)) non-linear resonances greatly reduce the ejection delay for all ions, regardless of their chemical structures, and thus reduce the magnitude of the chemical mass shift. Energetic collisions leading to dissociation can take place at an earlier stage during the ejection process in the mass analysis scan when using resonance ejection compared with boundary ejection. This leads to even larger chemical mass shifts of fragile ions in resonance ejection. Increasing the resonance voltage amplitude can enhance this effect. The chemical mass shifts of fragile ions increase with increase in the resonance voltage amplitude, whereas negligible changes occur for structurally stable ions.     

Evaluation of the reactivity of new activated difluoroaromatic compounds

To evaluate the reactivity of new difluroroaromatic compounds in nucleophilic substitution, the positive charges on carbon atoms of C−F bonds were calculated using the quantum-chemical semiempirical PM3 method. A correlation between the charges calculated and the chemical shifts in the¹⁹F NMR spectra was established. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 4, pp. 623–625, April, 1998.     

磨削加工中磨削参数的模糊优化设计

将磨削加工中磨削参数的选择转化为优化设计问题．以最高生产率为目标函数，考虑了各约束边界的模糊性，建立了优化磨削参数的数学模型，运用模糊优化设计方法确定磨削加工中最佳的磨削参数。     

代数迭代映射分支值的优化算法

以代数迭代映射动力系统的倍周期分叉问题为背景,研究出较精确计算代数迭代系统分支值的优化方法·以分支值为设计变量,映射点的最大开口量为目标函数,以映射点周期关系为等式约束和分支值分布范围为不等式约束,建立了关于分支值计算的新方法·通过两个代数迭代系统分支值实例分析计算,获得较高精度的结果·     

非对称信息条件下供应链管理质量控制策略

研究非对称信息条件下供应链管理的质量控制问题·建立了供应链合作关系中的购买商和供应商的质量成本模型,其中包括供应商的生产理性约束条件·分析了非对称信息条件下购买商与供应商质量成本的委托代理关系,质量水平的不可观测性则表现为供应商的信息隐匿·实质上,这是一个委托代理中的逆向选择问题·购买商的质量成本是目标函数,供应商质量成本的一阶条件转化为状态空间方程,运用极大值原理求解该问题的最优质量控制·并进行了非对称信息条件下供应链的质量控制仿真实验·     

自动量程转换电路设计

介绍了双积分式 A/D转换器 CC1 44 3 3在宽范围电压测量中自动量程转换电路的设计及工作原理 .通过多路模拟开关与运放的组合设置了多个电压量程 ,应用 CC1 44 3 3的超欠量程信息控制双向移位寄存器的移位操作 ,获得了合适的量程标志 .通过量程标志对多路模拟开关及显示器小数点位置的控制 ,实现了量程的自动切换及表示 .应用辅助门电路及数据选择器解决了量程标志中边界问题及无效量程标志问题 .设计的电路具有测量电压范围宽、工作稳定可靠、显示直观等优点 .     

An iterative algorithm in potential-field inversion

1　Principle and MethodAll the problems of potential- field inversioncan be concluded that of solving nonlinear functionas follows:b =f( x) ( 1 )where x =( x1,x2 ,… .xn) T,xj( j =1 ,2 ,… ,n)indicate geometricparameters and physical parame-ters of the object;b=( b1,b2 ,… ,bm) T,bi( i=1 ,2 ,… ,m) indicate potential- field measurements.Main algorithms for expression( 1 ) are leastsquare method ( include damping least squaremethod ) ,gradient method ( conjugate gradientmethod and variable met…     

沥青路面罩面的设计方法

针对国内外罩面或改建设计方法的不足 ,借助于同济大学对新建和罩面改建后的沥青路面使用性能的研究成果 ,将寿命周期费用分析引入罩面设计 ,提出了沥青路面罩面设计方法———基于使用性能和技术经济分析的最佳罩面时机和最佳罩面厚度选择方法 ,并通过实例说明了该方法的应用