张量广义特征值的S-型包含区域

设{A,B}为m阶n维正则张量对,通过将指标集N={1,2,…,n}划分为非空真子集S及其补集S珚=N/S,利用分类讨论的思想以及张量对{A,B}某些元素选取的任意性和不等式缩放技巧,解决了张量对{A,B}的特征值定位问题,并给出张量对{A,B}特征值的S-型包含区域.数值结果表明,所得包含区域比已有包含区域更精确.     

齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用

利用实分析技巧和权函数方法, 讨论具有齐次核的多重级数Hilbert型不等式, 得到了其取最佳常数因子的充分必要条件, 并给出其应用.     

宇宙临界减速因子

本文证明了如果中微子具有质量,那么膨胀宇宙的临界减速因子q_c就不是通常所说的1/2而是等于1。     

浅谈智能模糊控制恒压供水系统

文章介绍在变频恒压供水系统的基础上采用智能模糊控制等特性来完成恒压供水。     

Alcohol dehydrogenase 2 is a major hepatic enzyme for human retinol metabolism

The metabolism of all-trans- and 9-cis-retinol/ retinaldehyde has been investigated with focus on the activities of human, mouse and rat alcohol dehydrogenase 2 (ADH2), an intriguing enzyme with apparently different functions in human and rodents. Kinetic constants were determined with an HPLC method and a structural approach was implemented by in silico substrate dockings. For human ADH2, the determined K_m values ranged from 0.05 to 0.3 μM and k_cat values from 2.3 to 17.6 min⁻¹, while the catalytic efficiency for 9-cis-retinol showed the highest value for any substrate. In contrast, poor activities were detected for the rodent enzymes. A mouse ADH2 mutant (ADH2Pro47His) was studied that resembles the human ADH2 setup. This mutation increased the retinoid activity up to 100-fold. The K_m values of human ADH2 are the lowest among all known human retinol dehydrogenases, which clearly support a role in hepatic retinol oxidation at physiological concentrations. Received 12 October 2006; received after revision 6 December 2006; accepted 8 January 2007     

奇异积分算子对p幂可积函数的逼近常数的上界估计

本文探讨由正偶核确定的奇异积分算子对连续函数的逼近常数与对p幂可积函数的逼近常数之间的关系,并由此得到Fejér算子、Jackson算子和Vallee-Poussin算子对p幂可积函数逼近常数的上界。     

三球式和转台式角动量守恒演示器的研制与应用

本文详细介绍了笔者研制的三球式和转台式两种新型角动量守恒演示器的结构、特点和使用方法。     

首达渗流中关于时间常数μ的上界估计

对2维首达渗流的时间常数μ给出了一个上界估计．     

一类新的非线性混合拟变分包含的灵敏性分析

研究了一类新的非线性混合拟变分包含的灵敏性问题，通过使用预解算子及不动点技巧，证明了这类含参数的变分包含的解的存在唯一性及连续性，推广了近期有关文献的一些结果。     

钙和钡对钢脱氧及夹杂变性的理论分析

在比较了各种常用脱氧剂单质脱氧能力的基础上，对钙合金、钡合金夹杂的变性能力进行了理论分析和探讨，并对钡合金的脱氧和夹杂物变性工艺提出了建议。