二维相关光谱的猪肉TVB-N特征变量优选研究

为了探讨利用二维相关可见/近红外光谱法优选猪肉挥发性盐基氮(TVB-N)特征变量的可行性,以贮藏时间为外扰,研究了不同新鲜程度猪肉样本的二维相关光谱特性。首先,获取56个猪肉样本在贮藏1～14 d的400~1 000 nm范围的可见/近红外反射光谱,经过标准正态变量变换(SNV)处理后,基于全波段光谱建立TVB-N的偏最小二乘回归(PLSR)模型。然后,依据TVB-N实测值,从中挑选出10个具有一定浓度梯度的样本(贮藏时间分别为0,36,72,108,144,180,216,252,288和324 h),利用一阶导数对光谱进行预处理后,根据不同样本之间的光谱差异,选取7个波段用于二维相关光谱解析。分析各个波段的二维相关同步谱和自相关谱,从7个波段范围内共选取23个变量作为不同贮藏时间下与TVB-N相关的敏感波长,并建立简化的PLSR模型。相较于全波段光谱数据所建模型,模型效果有所改善,预测集决定系数R2_p由0.792 1上升至0.865 8,误差从3.658 2 mg·(100 g)-1下降至3.246 0 mg·(100 g)-1。表明基于二维相关光谱对猪肉TVB-N特征变量进行优选的思路是可行的,该方法能够从全光谱数据中筛选出与目标物质相关的敏感变量,这也为近红外光谱特征波长选择提供了一个新的方法。     

一种基于相关系数矩阵的TOPSIS决策方法

在多属性决策分析中,传统的TOPSIS法是基于欧氏距离来计算各方案到正负理想点的距离,但欧氏距离没有考虑各属性之间的相关性;从这一角度出发,将相关系数矩阵与欧式距离结合,从而弥补了欧氏距离的不足,最后进行了实例分析.     

Correlation dynamics of a qubit–qutrit system in a spin-chain environment with Dzyaloshinsky–Moriya interaction

We study the dynamics of correlations for a hybrid qubit-qutrit system in an XY spin-chain environment with Dzyaloshinsky-Moriya interaction. Our discussion involves a comparative analysis of negativity, quantum discord, and measurement-induced disturbance. It is found that the quantum discord is optimal of the three quantum correlations to de- tect the critical point of quantum phase transition. Only when the qubit interacts with the environment, is the phenomenon of sudden transition between the classical correlation and the quantum discord observed. Moreover, the Dzyaloshinsky- Moriya interaction enhances the decay of quantum correlations.     

凝胶网格沉淀法制备纳米氧化锌的正交实验研究

通过凝胶网格沉淀法制备了纳米氧化锌,并通过正交实验探讨了明胶用量、锌离子浓度、碳酸根离子浓度以及反应物配比等因素对其粒径的影响。实验确定了制备纳米氧化锌的优化工艺条件:明胶用量22%、锌离子浓度0.7mol/L、碳酸根浓度0.7mol/L、反应物配比1/1。采用XRD、IR、TG-DTA、TEM及激光粒度等测试手段对产物进行了表征。结果表明,在优化工艺条件下制得了粒径为40nm的氧化锌。     

Realization of quantum correlation transfer between twin beams by conditional preparation technique

A conditional quantum correlation transfer is demonstrated experimentally for continuous variables by employing two pairs of twin-beams states. In present paper, the quantum correlation of twin beams is indicated by loss coefficient or “gemellity”, which is the remaining noise on the intensity difference normalized to the shot noise level. The quantum correlation between two initial idler beams with loss coefficient of 0.4 was conditionally transferred from two pairs of initially independent twin beams with loss coefficient of 0.2. A theory of conditional quantum correlation transfer and comparison between experimental results and theoretical prediction are also presented. The experimental results agree with the theory well.     

Effects of reagent's rotational and vibrational excitations on reaction O(3P) + H2 H2(ν = 0, 3, j = 0, 3; 5; 7; 9; 12; 15) → OH + H

To investigate the effect of reagent's rotational and vibrational excitations on the stereo-dynamics of reaction product, the title reaction is theoretically simulated using the quasi-classical trajectory (QCT) method on the ³A" and ³A′ potential energy surfaces (PESs). The reaction cross section is considered as the only scalar property in this work at four different collision energies. Furthermore the vector properties including two polarization-dependent differential cross sections (PDDCSs), the angular distributions of product' rotational momentum are discussed at one fixed collision energy. Effects of reagents' rotational excitation on the reaction do exist regularly.     

甲酚紫非线性光学性质的研究

报道了甲酚紫染料的非线性光学性质的实验研究方法及其结果.利用简并四波混频技术,测量得到甲酚紫甲醇溶液(浓度为5×10~(-4)M)的三阶非线性极化率X~(3)为2.0×10~(-10)esu.此外,利用不同强度皮秒脉冲相关技术得到了甲酚紫甲醇溶液的吸收恢复时间τ_(21)为163ps.     

On sequences of Hurwitz polynomials related to orthogonal polynomials

ABSTRACT

In this contribution, we explore the well-known connection between Hurwitz and orthogonal polynomials. Namely, given a Hurwitz polynomial, it is shown that it can be decomposed into two parts: a polynomial that is orthogonal with respect to some positive measure supported in the positive real axis and its corresponding second-kind polynomial. Conversely, given a sequence of orthogonal polynomials with respect to a positive measure supported in the positive real axis, a sequence of Hurwitz polynomials can be constructed. Based on that connection, we construct sequences of Hurwitz polynomials that satisfy a recurrence relation, in a similar way as the orthogonal polynomials do. Even more, we present a way to construct families of Hurwitz polynomials using two sequences of parameters and a recurrence relation that constitutes an analogue of Favard's theorem in the theory of orthogonal polynomials.     

Pairwise likelihood inference for multivariate ordinal responses with applications to customer satisfaction

A common practice in customer satisfaction analysis is to administer surveys where subjects are asked to express opinions on a number of statements, or satisfaction scales, by use of ordered categorical responses. Motivated by this application, we propose a pseudo‐likelihood approach to estimate the dependence structure among multivariate categorical variables. As it is commonly carried out in this area, we assume that the responses are related to latent continuous variables that are truncated to induce categorical responses. A Gaussian likelihood is assumed for the latent variables leading to the so‐called ordered probit model. Because the calculation of the exact likelihood is computationally demanding, we adopt an approximate solution based on pairwise likelihood. To asses the performance of the approach, simulation studies are conducted comparing the proposed method with standard likelihood methods. A parametric bootstrap approach to evaluate the variance of the maximum pairwise likelihood estimator is proposed and discussed. An application to customer satisfaction survey is performed showing the effectiveness of the approach in the presence of covariates and under other generalizations of the model. Copyright © 2015 John Wiley & Sons, Ltd.     

On three-term recurrence and Christoffel–Darboux identity for orthogonal rational functions on the real line

First, we give an algebraic proof to the Christoffel–Darboux identity of formal orthogonal rational functions on the real line by exposing some underlying algebraic properties. This proof does not involve the three-term recurrence relationship. Besides, it is shown that if a family of rational functions satisfies the Christoffel–Darboux relation, then it also admits a three-term recurrence relationship. Thus, the equivalence between both relations is revealed.