聚类分析法在食品TE分级中应用研究

用１５种食品的Ｚｎ、Ｃｕ、Ｆｅ、Ｍｇ含量作分级特征，按聚类分析分级，结果以Ｚｎ、Ｃｕ、Ｆｅ、Ｍｇ总量均值最低的蕃茄为Ⅰ级；低的白鸡、鲜牛奶、黄瓜、新会柑、罗岗橙为Ⅱ级；高的精面粉、水豆腐、粉丝、牛肉、鸡蛋、鸭蛋、西洋菜、白芽为Ⅲ级；最高的红豆为Ⅳ级．提示膳食中Ｚｎ、Ｃｕ、Ｆｅ、Ｍｇ含量大于供给量标准时可选Ⅲ、Ⅳ级，小于标准选Ⅰ、Ⅱ级，＝标准选Ⅰ、Ⅲ级食品．据此认为聚类分析法可用于食品分级，对选择食品、制订食谱、营养治疗、食品科研、研制食品配方等均具有实用价值和指导意义。     

近红外光谱技术在鱼糜等级评定中的应用研究

利用近红外光谱技术,对冷冻和解冻状态的不同等级白姑鱼糜进行等级评定。采用一阶导数法和标准正态变量变换法进行光谱预处理,再对预处理后的数据进行主成分分析,以主成分分析-马氏距离模式识别方法建立不同等级白姑鱼糜的等级评定模型,并对7项理化指标(水分、蛋白质、粗脂肪、盐溶性蛋白、凝胶强度、持水率和白度值)进行了测定。结果表明,主成分分析可以将三个等级白姑鱼糜较好地区分开;冷冻状态白姑鱼糜建立的等级评定模型效果优于解冻状态白姑鱼糜,前者的综合预测正确率为96.3%,后者的综合预测正确率为83.3%;三个等级白姑鱼糜的理化指标存在一定的差异。研究表明,近红外光谱技术可以快速无损评定白姑鱼糜等级。     

A Polynomial Time Approximation Scheme for the Grade of Service Steiner Minimum Tree Problem

In this paper, we present the design of a Polynomial Time Approximation Scheme (PTAS) for the Grade of Service Steiner Minimum Tree (GOSST) problem, which is known to be NP-Complete. Previous research has focused on geometric analyses and different approximation algorithms have been designed. We propose a PTAS that provides a polynomial time, near-optimal solution with performance ratio 1+. The GOSST problem has some important applications. In network design, a fundamental issue for the physical construction of a network structure is the interconnection of many communication sites with the best choice of the connecting lines and the best allocation of the transmission capacities over these lines. Good solutions should provide paths with enough communication capacities between any two sites, with the least network construction costs. Also, the GOSST problem has applications in transportation, for road constructions and some potential uses in CAD in terms of interconnecting the elements on a plane to provide enough flux between any two elements.     

荆门热电厂厂区膨胀土等级的可拓评价研究

运用可拓学的基本理论,建立了膨胀土可拓评价模型。以此模型为基础,对荆门热电厂的膨胀土进行了可拓综合评价,并将判别结果与分级膨胀量评价法的判别结果进行了对比,其结果是一致的,说明该方法是可行的。     

精度与程度的逻辑或近似算子的性质

本文目的是探讨精度与程度的复合,探索新的粗糙集拓展模型.从精度与程度的逻辑或运算出发,定义了精度与程度的逻辑或粗糙集模型.在该模型中,通过变精度近似与程度近似的转化公式,研究了精度与程度的逻辑或近似算子,并得到了该近似算子的幂作用等性质.用精度与程度的逻辑或粗糙集模型统一了变精度粗糙集模型、程度粗糙集模型和经典粗糙集模型,并在这些粗糙集模型中得到了近似算子幂作用的相应性质.     

Cohen–Macaulay Modules and Holonomic Modules Over Filtered Rings

We study Gorenstein dimension and grade of a module M over a filtered ring whose associated graded ring is a commutative Noetherian ring. An equality or an inequality between these invariants of a filtered module and its associated graded module is the most valuable property for an investigation of filtered rings. We prove an inequality G?dim M ≤ G?dim gr M and an equality grade M = grade gr M, whenever Gorenstein dimension of gr M is finite (Theorems 2.3 and 2.8). We would say that the use of G-dimension adds a new viewpoint for studying filtered rings and modules. We apply these results to a filtered ring with a Cohen–Macaulay or Gorenstein associated graded ring and study a Cohen–Macaulay, perfect, or holonomic module.     

GRADE AND GORENSTEIN DIMENSION

Let R be a commutative Noetherian ring and let M be a finite (that is, finitely generated) R-module. The notion grade of M, grade M, has been introduced by Rees as the least integer t ≥ 0 such that Ext ^t _R (M,R) ≠ 0, see [11] Rees, D. 1957. The Grade of an Ideal or Module. Proc. Camb. Phil. Soc., 53: 28–42. [Crossref] , [Google Scholar]. The Gorenstein dimension of M, G-dim M, has been introduced by Auslander as the largest integer t ≥ 0 such that Ext ^t _R (M, R) ≠ 0, see [3] Auslander, M. 1967. Anneaux De Gorenstein Et Torsion En Algebre Commutative Edited by: Mangeney, M., Peskine, C. and Szpiro, L. Paris: Ecole Normale Superieure de Jeunes Filles.  [Google Scholar]. In this paper the R-module M is called G-perfect if grade M = G-dim M. It is a generalization of perfect module. We prove several results for the new concept similar to the classical results.     

On the notion of Cohen–Macaulayness for non-Noetherian rings

There exist many characterizations of Noetherian Cohen–Macaulay rings in the literature. These characterizations do not remain equivalent if we drop the Noetherian assumption. The aim of this paper is to provide some comparisons between some of these characterizations in non-Noetherian case. Toward solving a conjecture posed by Glaz, we give a generalization of the Hochster–Eagon result on Cohen–Macaulayness of invariant rings, in the context of non-Noetherian rings.     

组合预测方法在大气环境评价中的应用

李振亮．组合预测方法在大气环境评价中的应用．数理统计与管理，１９９７，１６（４），１２～１５．本文利用组合预测理论和方法，建立了一种大气环境质量评价的组合模型。实例分析表明，该组合评价模型具有利用各单一评价模型提供的信息和集中各单一模型的优点，是一种稳健和优化的环境质量评价模型。     

一种新的相移电子剪切散斑方法在离面位移梯度场测量中的应用

电子剪切散斑具有同轴、自相干等特点,因而图像稳定,且质量好。对现场环境要求低,可用于现场无损检测。但同时也因为上述原因,难以实现位相的均匀改变。因此,如果能够实现图像全场的定量化求解,则在工程应用和对图像认识上将是很有意义的。本文首先解释了电子剪切散斑实现相移的原理,进行了数学推导;再用相移位相解包裹技术实现电子剪切散斑的定量测量;最后和有限元计算进行了比较,证明结果较为理想。从而为设计人员提供了一种方便、快速、有效、全新的设计、检测手段。也可为有限元计算提供一种获得位移边界条件的有效方法。