中医方药量化研究中“相对药量”数学模型体系再探

研究了初探建立的"相对药量"量化模型体系中关键的三个问题:"三段式"模式的不合理性及转化成"一段式"模式的问题;同一种药物在不同的模型下,常用量范围两个端点处无差异性问题;不同药物在不同的常用量范围、相同的常用量范围端点处无差异性问题.并给出新的量化模型体系,说明新模型体系的合理性与适用性.     

基于突变理论的中药“相对峰值”概念的提出及其模型建立

提出"相对峰值"这一中药数理新概念,并建立其数学模型.根据中医药理论,应用突变理论.得出F=M((27m~2)/(8M~2))~(1/3)+6M.相对峰值"概念的建立,不但能认识中药药效多了一个新的支撑点,而且运用突变理论进行中药量效系统研究,在方法学上具有重要的创新意义;其结果不仅对医师临床用药有指导作用,还进一步完善了"相对药量"模型,体现了中药用药量范围的多样性、多变性和中药药效研究的复杂性、理论性,对于中医药理论在用药量、归经等方面的研究,尤其对中药药效量化研究和实践起到重要影响并发挥异乎寻常的作用.     

联合勤务保障体系网络化建模与研究方法

为了研究联合勤务保障体系在作战行动中的作用,并为体系作战建立网络化的研究方法,提出了一种包含联合勤务网络的四层复杂作战网络,建立了相应的网络化模型。首先,对联合勤务保障体系进行了网络化的定义与描述,得到了认知域、信息域、物理域、联合勤务网络内每个节点的状态属性值;然后,建立了不同网络之间的涌现性模型,提出了作战链与勤务保障链的概念,通过定义涌现满足度曲线,得到了每个节点的网络涌现程度值;最后,针对同层网络和不同层网络分别提出了对应的网络体系同步能力提高方法。研究结果表明:建立的网络化模型与提高同步能力的方法合理有效,对于体系作战的量化研究有一定的实践意义。     

害虫综合防治建模驱动“半连续动力系统理论”兴起

以害虫综合防治数学建型为启迪,对生物数学研究的一些相关问题开展了一系列的研究.从实际问题出发,我们分别建立了"常微分方程模型"以及对应的"周期脉冲控制模型";随着害虫综合防治常态化管理和环境污染常态化防治的兴起,我们建立了"状态脉冲反馈控制系统"模型,简称"半连续动力系统"模型,提出了"半连续动力系统"相关的概念,创建了其基本理论,并且作了系统性的研究,例如:半连续动力系统的周期解以及周期解的稳定性、同宿轨和同宿分支、异宿轨和异宿分支以及"双边控制系统"等概念及其判定定理的研究;进一步将"半连续动力系统"相应的理论和方法应用于生物数学其他方面的一些相关问题的研究.本文以数学模型为载体,归纳总结了近十多年来对生物数学的研究历程,指出了当前研究中尚待解决的问题.     

基于可变模糊集理论的城市用地适用性评估

依据可变模糊集理论,构造了城市用地适用性评估的相对差异函数模型和相对隶属函数模型,建立了求解综合相对隶属度的可变模糊评估模型,并应用该模型对2组待开发利用用地适用性进行了评估.研究表明:可变模糊评估是依据对立相对隶属函数来描述模糊概念,通过参数的可变性,自我验证可变模糊评估方法的可靠性,并通过级别特征值表达了评估对象属于某级别的程度,使评估结果更为精细,从而为城市用地适用性评估提供了一种有效的新方法.     

一类单调函数的数学期望

对一类单调可微的有界函数 ,利用相对变化率的概念 ,定义了一种由该函数生成的概率密度函数 ,讨论了有关数学期望的计算和性质 ,并给出了在函数上升或下降速度比较、药动学模型识别中的应用 .     

基于可拓方法我国银行体系脆弱性的评价

在银行体系脆弱性评价中借助物元的概念,建立了银行体系脆弱性评价模型,并采用较为客观的评价方法——可拓方法对该模型进行评价,介绍了一种新的银行体系脆弱性评价方法.消除了其它主观评价方法带来的偏差,从而为我国银行体系脆弱性的监管决策提供有益参考.     

关于微分熵的一类强偏差定理

利用关于乘积分布密度的相对熵和相对熵率的概念,建立了相依连续型随机变量序列关于参考微分熵的一类强偏差定理,证明中给出了将Laplace变换应用于微分熵强偏差定理的研究的一种途径．     

条件收益率下的VaR投资组合研究

本文以新的VaR风险控制体系和价格条件的VaR理论为基础,建立了一种新的最优投资组合模型——μ_s-VaR_s模型。其主要特点有:首先,μ_s-VaR_s模型主要关注相对价格的预期收益和风险,在没有股指期货对冲大盘指数风险的条件下,该模型可以为投资组合跑赢大盘提供了科学思路;其次,在μ_s-VaR_s风模型中,仿照夏普指数创建出了新的选股指标γ_s_i(t),使投资组合更有效率;最后,μ_s-VaR_s模型充分考虑了沪深股票市场的交易成本和交易条件限制,使模型具有较强的现实可用性.经过对沪深股票市场的实证分析发现:μ_s-VaR_s模型明显优于马柯威茨的M-V模型;应用μ_s-VaR_s模型所构建的投资组合的累积收益率显著高于大盘的同期累积收益率.     

煤炭安全评价:模型、集成算法与应用

煤炭作为我国战略性矿产资源,其安全问题一直是政府、学界关注与研究的重要课题.基于APERC的"4A"能源安全概念模型,提出了"2AST"的煤炭安全概念框架;建立了融可用性、可获性、可持续性、技术发展于一体的煤炭安全评价体系;提出了AGA-EAHP-EM-GRA-TOPSIS一种改进的集成评价方法,对2001-2010年中国煤炭安全水平进行了评价;最后提出了开源节流、国家保障、技术发展等战略对策,以期为提高我国煤炭安全水平提供借鉴.     

Modelling and decision support in physiology and medicine: a methodological framework with lllustration

This paper presents a methodological framework for modelling that has found wide application in the complex domains of physiology and medicine. The processes of model validation are centrally embedded within this framework. The parallelism between modelling per se and the development of model-based decision support systems is then considered, showing that it is possible to devise a unified methodological framework which encompasses the requirements both of model validation and decision support system evaluation. The applicability of the framework is demonstrated in the validation of a mathematical model of blood glucose dynamics; and in the development and evaluation of decision support systems such as those which are aimed at addressing the problem of advising the insulin-dependent diabetic patient on the adjustment of insulin dosage     

气候对安徽中药材产业经济影响分析——基于经济气候模型

通过考虑气候和经济社会因素,将气候因素与函数综合考虑并进行分析,构建“经济气候”模型,分析并得出气候因素对安徽省中药材产业影响程度,利用所构建BP神经网络模型,分析数据,对气象因素对中药材产业的影响结果进行预测。通过分析安徽省气候变化的特点与方向,确定气候因素对中药材产业的影响程度,为中药材产业发展提供一定的数据分析支撑,为有针对性的管理中药材产业提供方法与数据基础,同时对降低严重气象灾害对中药材生产带来的负面作用具有一定的理论与实践意义。     

基于中医健康云的健康养老服务平台设计与应用

中医健康云能将中医的特色化、标准化与大数据、人工智能应用完美融合。本文基于中医健康云技术和老龄群体对养老服务的迫切需求,对中医健康云服务平台和架构设计进行建设性研究,同时分析中医健康云平台的关键技术所在,进而提出中医健康云在健康养老服务中的应用设计。以期利用互联网与大数据,融合传统中医智慧,对老龄群体的健康进行动态跟踪与实时咨询,为老年群体提供及时、有效和针对性的健康养老服务。     

Chinese and English Mathematics Language: The Relation Between Linguistic Clarity and Mathematics Performance

In Study 1, 48 judges rated the clarity of Chinese, English, and "Chinglish" (Chinese words translated into English) mathematical words-for example, the Chinglish version of the Chinese word for quadrilateral is "four-side-shape." Native Chinese-speaking judges achieve greater agreement on the relative clarity of Chinese words than do native English-speaking judges on the relative clarity of English words. More Chinese words are rated clear than are English. Chinglish mathematical words tend to be rated more clear than English. The inherent compound word structure of the Chinese language seems well suited to portray mathematical ideas.

In Study 2, we examined the relations among the clarity of Chinese mathematical terms, U.S. urban junior high school students' Chinese reading ability, and their mathematics performance. There is a strong correlation between Chinese reading ability and performance on test items with mathematics words rated clear by Chinese judges. The relative clarity of mathematical terms in the Chinese language may contribute to Chinese-speaking students' understanding of mathematics and to superior mathematics performance.     

Chinese and English Mathematics Language: The Relation Between Linguistic Clarity and Mathematics Performance

In Study 1, 48 judges rated the clarity of Chinese, English, and “Chinglish” (Chinese words translated into English) mathematical words-for example, the Chinglish version of the Chinese word for quadrilateral is “four-side-shape.” Native Chinese-speaking judges achieve greater agreement on the relative clarity of Chinese words than do native English-speaking judges on the relative clarity of English words. More Chinese words are rated clear than are English. Chinglish mathematical words tend to be rated more clear than English. The inherent compound word structure of the Chinese language seems well suited to portray mathematical ideas.

In Study 2, we examined the relations among the clarity of Chinese mathematical terms, U.S. urban junior high school students' Chinese reading ability, and their mathematics performance. There is a strong correlation between Chinese reading ability and performance on test items with mathematics words rated clear by Chinese judges. The relative clarity of mathematical terms in the Chinese language may contribute to Chinese-speaking students' understanding of mathematics and to superior mathematics performance.     

一种基于用户识别特征模型的中医药健康养老信息推送算法

通过分析传统协同过滤算法的优缺点,设计构建用户识别特征模型,并提出基于用户识别特征模型的协同过滤算法,将经典协同过滤算法与基于用户识别特征模型的协同过滤算法进行比较试验,分析基于用户识别特征模型的协同过滤算法相对于经典协同算法的优势,进而证明其能够在中医药健康养老信息的推送过程中提高效率。     

THE REGIONAL ECONOMIC THRESHOLD FOR INTEGRATED PEST MANAGEMENT

The Regional Economic Threshold concept is introduced. A model of pest control decisionmaking is generalized to permit choice of materials, timing, number of applications, and dosage rates. Constraints on the maximum dose alter the model and solutions. An experiment is performed to generate data for estimating both the efficacy of insecticides and the damage prevented. Simulating nonlinear systems, a computer program calculates optimal solutions and the sensitivity of the solutions to various relative prices. Losses from legal maximum dosage constraints are calculated, as well as potential benefits to growers' profits from applying the results of this research.     

一类逻辑环站点双态转移的研究

本对于容量有限和具有优先队列的逻辑环随机运作系统,研究其站点双态转移的有关问题,转移规律的探讨,零转移和非零转移的判断及其数目函数的推导;中还提出若干相关的新概念。章有别于以往寻求传统的工作特性参数表达式的思路,从另一个侧面揭示该类系统的数学特征。     

Counting systems and the First Hilbert problem

The First Hilbert problem is studied in this paper by applying two instruments: a new methodology distinguishing between mathematical objects and mathematical languages used to describe these objects; and a new numeral system allowing one to express different infinite numbers and to use these numbers for measuring infinite sets. Several counting systems are taken into consideration. It is emphasized in the paper that different mathematical languages can describe mathematical objects (in particular, sets and the number of their elements) with different accuracies. The traditional and the new approaches are compared and discussed.