Discriminating Completions of Hyperbolic Groups

A group G is called an A-group, where A is a given Abelian group, if it comes equipped with an action of A on G which mimics the way in which Z acts on any group. This action is codified in terms of certain axioms, all but one of which were introduced some years ago by R. C. Lyndon. For every such G and A there exists an A-exponential group G ^A which is the A-completion of G. We prove here that if G is a torsion-free hyperbolic group and if A is a torsion-free Abelian group, then the Lyndon's type completion G ^A of G is G-discriminated by G. This implies various model-theoretic and algorithmic results about G ^A .     

正态判别中完全贝叶斯和贝叶斯最小二乘准则的比较(英语)

本文研究了两个具相同协方差阵的多元正态总体在自然共轭九验分布下的判别分析问题,证明了当可观察变量的个数趋无穷时,贝叶斯判别函数与一基于样本的判别函数渐近等价。     

二元综合鉴别函数的神经网络优化

根据Ｈｏｐｆｉｅｌｄ神经网络的优化功能，对综合鉴别函数进行二元优化，使相关输出具有期的望的形状及峰值大小，从而实现旋转不变识别，并定义了一个判别依据－判别比，计算机模拟的结果表明，目标物体通过优化的二元滤波器后，不仅具有期望输出，而且判别经要比伪目标物体至少大一个量级。     

气相色谱鉴别食品微生物的初步研究

用全细胞水介皂化及甲酯法的方法，通过气相色谱仪检测了几株食品微生物细胞长链脂肪酸构成。结果表明在食品微生物领域中，利用细胞脂肪酸差异性进行菌种的快速鉴别是可行的，其鉴定结果与传统鉴别的结果相符     

信息产品在非线性效用函数下的二度价格歧视研究

本中假定消费的效用函数为非线性的效用函数，垄断厂商提供同一种信息产品的两种质量版本，消费根据两类约束做出自己的消费选择。厂商通过消费的两个无差异点来对消费进行二度价格歧视，通过分析我们得出厂商的歧视条件。     

The role of pitch in the discrimination of voice quality

Pitch is an important attribute of a musical sound. With it the melody of a song is established. With it the beauty of a voice is showcased. But how does pitch affect the perception of voice? Is it used to help to distinguish among voices or does it merely exist in the background, affecting the fine details of a voice but not radically altering the voice? The purpose of this paper is to review some of the evidence on the role of pitch in the perception of voice quality; specifically for the discrimination of one voice quality from another. The objective of the discussion is to understand how pitch affects our perception of voice quality and its importance to the perception of musical sound.     

On positive definite quadratic forms in correlatedt variables

Summary In this paper we extend Ruben's [4] result for quadratic forms in normal variables. He represented the distribution function of the quadratic form in normal variables as an infinite mixture of chi-square distribution functions. In the central case, we show that the distribution function of a quadratic form int-variables can be represented as a mixture of beta distribution functions. In the noncentral case, the distribution function presented is an infinite series in beta distribution functions. An application to quadratic discrimination is given.     

控温水平衰减全反射-红外光谱快速鉴别茅台酒真假

本文将控温式水平衰减全反射(HATR)与傅里叶变换红外光谱(FTIR)结合,成功实现了茅台酒的快速检测。与传统的KBr压片法相比,本方法大大简化了浓缩、干燥、压片等流程,检测时间少于5min。此外,通过分析茅台酒的一维红外图谱及二阶导数谱,成功鉴别了茅台酒的真假,为客观评价酒类产品的质量提供了新方法。     

Chirality Discrimination at Binary Organic|Water Interfaces Monitored by Interfacial Tension Measurements with Preliminary Comparison with Molecular Dynamics Simulations

Chirality discrimination at a binary toluene (organic)/water(aqueous) interface between R- or S-Tol-BINAP (2,2′-Bis(di-p-tolylphosphino)-1,1′-binaphthyl) molecules and the water-soluble serine chiral specie is examined for the first time, using a combination of interfacial tension measurements and molecular dynamic simulations. Experimental interfacial measurements exhibit a clear chirality-controlled difference when a homochiral versus a heterochiral enantiomeric pairs are introduced at the interfaces. The related molecular dynamics simulations support the experimental results and provide further molecular insight of intermolecular interactions at the interfaces. The results indicate that interfacial tension measurements can capture the preferential interactions which exist between different pairs of enantiomers at the binary interfaces, opening up a new way for probing chirality discrimination at liquid-liquid interfaces.