X射线荧光光谱滤纸片法测定矿石中的铜

我们用Ｘ射线荧光光谱滤纸片法分析了古今１３铜矿石样品中的铜含量，测量结果与化学法一致。此法不需要铜矿石的标样，而且手续简单，方便，检出限低，灵敏度高，测量结果正确可靠，是分析矿石中单一或几个元素的含量较好的方法之一。     

无相移滤波技术用于分析化学信号处理

把无相移滤波技术引入了分析化学信号处理领域。其方法为：先将输入序列按顺序滤波，然后将所得结果逆转后反向通过滤波器，再将所得结果逆转后输出。通过对色谱信号的实验研究表明，与普通的数字滤波方法相比较，无相移滤波不但具有普通数字滤波的优点，而且不会产生滤波前后的相位偏移，具有良好的应用前景，尤其对于需要准确计算保留时间的场合，用此预处理方法非常适合。     

8-羟基喹啉-5-磺酸纤维微柱分离富集电感耦合等离子体原子发射光谱法同时测定多种痕量元素

本文合成了8-羟基喹啉-5-磺酸纤维滤纸片,以此做为微柱填充物同时富集了10种痕量元素,并分离了样品中的高盐组分.本方法可使痕量组分的分离与富集同步进行,因而特别适用于原子光谱测定前样品的预处理.     

HPLC－化学发光法测定痕量仲胺的研究

研究了测定仲胺的ＨＰＬＣ柱后化学发光检测的高灵敏分析方法。用Ｃ＿（１８）反相３μｍ色谱柱，乙腈＋水（６３．５＋３６．５）流动相，ｐＨ为６．５，对六种仲胺丹酰化衍生物实现了良好分离。研究了２－ＮＰＯ／Ｈ＿２Ｏ＿２体系的稳定性及发光条件。首次用这一体系检测了仲胺（亚硝胺的前体）。     

卡尔曼滤波分光光度法同时测定钢样中的硅、磷、砷

研究了在聚乙烯醇存在下,硅、磷、砷钼杂多酸与罗丹明6G形成离子缔合物的反应,建立了能同时测定硅、磷、砷的卡尔曼滤波分光光度法。用于钢样中微量硅、磷、砷的同时测定,操作简便快速,相对误差小于8％。     

An extremal problem related to probability

Summary We consider a walk from a stateA ₁ to a stateA _n+1 in which the probability of remaining atA _i isp _i , and the probability of progressing fromA _i toA _i+1 is 1 –p _i . The probabilityW _nk of reachingA _n+1 fromA ₁ in exactlyn + k steps can then be expressed as a polynomial of degreen + k in then variablesp ₁,,p _n . We determine the maximum value ofW _nk and the (unique) choice (p ₁,,p _n ) for which this extremum occurs.Dedicated to Professor Otto Haupt with best wishes on his 100th birthday     

Estimation of density functions by order statistics

The properties of the empirical density function,f _n(x) = k/n( _j ⁺ – _j-1 ⁺ ) if _j-1 ⁺ < x ⁺ where _j-1 ⁺ and _j ⁺ are sample elements and there are exactlyk – 1 sample elements between them, are studied in that practical point of view how to choose a suitablek for a good estimation. A bound is given for the expected value of the absolute value of difference between the empirical and theoretical density functions.     

Study of a high-dimensional chaotic attractor

The nature of a very high-dimensional chaotic attractor in an infinite-dimensional phase space is examined for the purpose of studying the relationships between the physical processes occurring in the real space and the characteristics of high-dimensional attractor in the phase space. We introduce two complementary bases from which the attractor is observed, one the Lyapunov basis composed of the Lyapunov vectors and the another the Fourier basis composed of the Fourier modes. We introduce the exterior subspaces on the basis of the Lyapunov vectors and observe the chaotic motion projected onto these exteriors. It is shown that a certain statistical property of the projected motion changes markedly as the exterior subspace goes out of the attractor. The origin of such a phenomenon is attributed to more fundamental features of our attractor, which become manifest when the attractor is observed from the Lyapunov basis. A counterpart of the phenomenon can be observed also on the Fourier basis because there is a statistical one-to-one correspondence between the Lyapunov vectors and the Fourier modes. In particular, a statistical property of the high-pass filtered time series reflects clearly the difference between the interior and the exterior of the attractor.