幂等和k+1次幂等矩阵线性组合的立方幂等性

应用矩阵分析方法,研究了幂等矩阵和k+1(k≥1,k∈(N)条件下其线性组合为立方幂等矩阵的所有情形.     

幂零矩阵的一个性质

通过对2009年全国硕士研究生入学考试数学试卷中的一道线性代数试题的推广,得到幂零矩阵的一个性质,从而揭示出该试题的命题思路与背景.     

方阵幂的求法归纳

给出了求矩阵幂的物种计算方法：归纳法、二项式展开法、对角矩阵相似法、Jordan标准形相似法、通项公式法。     

关于方阵幂的计算

给出了求矩阵幂的三种计算方法:归纳法、对角化法、特征多项式法。     

二次矩阵的相似类

从复矩阵的相似分类的角度出发,对给定的复数p,q,根据最小多项式的性质,得到了由二次多项式(x-p)(x-q)所确定的全体二次矩阵的相似分类的刻画.     

多元函数极值的正定矩阵判定定理的推广

利用矩阵的分块及正定矩阵来处理特殊多元函数的极值问题,通过降低变量元维数的方法,使求三元或三元以上的特殊多元函数的极值成为切实可行.     

关于矩阵函数的解法探讨

本文从可对角化矩阵与一般矩阵函数的性质与形式出发,总结了不同矩阵函敖的定义,以及它们的计算方法和理论,并且结合实例加以说明比较,力图根据实际问题选取不同的解法,以达到事半功倍的效果.     

幂指型正项级数的判别方法

引人幂指型正项级数的概念,基于比较判别法和正项等比级数的敛散性,建立幂指型正项级数的审敛规则,分析它与Cauchy判别法的关系,并将其推广用以判别普通正项级数的敛散性.实例说明其应用方法.     

Cicchetti's reversal of Petrinovich and Hardyck's major conclusion.

In 1972 D. V. Cicchetti stated that L. F. Petrinovich and C. D. Hardyck showed that the Scheffe and Tukey tests control the alpha error at .05; however, their empirical Type II probabilities were almost always in excess of .05. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Extracellular matrix for a rechargeable cell delivery system

Above a critical concentration, aqueous polymer solutions of N-isopropylacrylamide copolymers with small amounts of acrylic acid, synthesized in benzene by radical polymerization, exhibited four distinct phases as the temperature increased; clear solution, opaque solution, gel and shrunken gel. The transition between the opaque solution phase and the gel phase was in the range of 30-34 degrees C and was reversible without syneresis and noticeable hysteresis under the experimental conditions used in this study. Islets of Langerhans, isolated from Sprague-Dawley rat pancreata and entrapped in the gel matrix, remained viable, with no significant decrease in insulin secretion function in vitro for one month. When islets were encapsulated with the gel matrix in hollow fibers [molecular weight cut-off (MWCO)= approximately 400000] and were exposed to dynamic changes in glucose and theophylline concentrations, their insulin secretion patterns demonstrated a smaller lag time and higher amplitude in insulin release than islets entrapped in a conventional alginate matrix under the same experimental conditions. From these two observations, i.e. gel reversibility and islet functionality in the matrix observed in in vitro experiments, the N-isopropylacrylamide copolymers with acrylic acid synthesized in this study are optimum candidates for the extracellular matrix in a diffusion chamber-type cell delivery system in order to recharge the entrapped cells when cell functionality in the system decreases.     

Pharmacokinetics of beta2-sympathomimetics at the example of fenoterol and conclusion for the administration

The pharmacokinetics of fenoterol (salbutamol, terbutaline) after systemic administration (i.v., infusion, nasal administration) can be best described by a three-compartmental model. Nasal administration causes an effect-time profile between that of infusion and inhalation. The effects of nasal administration on the lung function and the heart rate depend on the plasma levels of the beta2-agonist. The absorption rate after inhalation differs individually in a large variability (1-27% of the dosage). After inhalation the effect on the lung function does not depend on the absorption rate nor on the plasma levels of the beta2-agonist. After inhalation the effect on the lung function is three- to fivefold more expressed than predictable from the plasma level. From the pk/pd data it can be assumed, that there are 10-20 fold higher concentrations in the airways than in the plasma. It is assumed that there are structures nearby the beta2-receptor responsible for the long-lasting effect observed after inhalation. These depot structures cannot be reached from the plasma in concentrations needed for bronchodilation under in vivo conditions. In respect to the effect/side effect relations, there is no doubt that inhalation is the optimal solution for administering beta2-agonists. In respect to the effect/side effect relations more frequent administration of small doses seems to be more favourable than high doses inhaled in long periods.     

谈谈职业教育的大众性

对职业教育的大众性问题进行了论述、实证分析和理论、政策、改革等思考。     

Decision matrix for selection of patients for a home infusion therapy program

Managed care and escalating healthcare costs have affected all aspects of clinical practice. Today's practitioners must evaluate each patient and clinical situation to select the appropriate intravenous delivery venue to improve the chances of producing a satisfactory outcome. The IV venue discussed in this article will focus on the key elements of identifying patients who will benefit from receiving pharmacomedical services in a home infusion therapy program.