多项式模上全次数除法及其在CAGD中的应用(Ⅰ)

本首先介绍了利用Ｇｒｏｅｂｎｅｒ基求解Ｓｙｚｙｇｙ模生成元的方法,在对方法做出进一步分析的基础上,给出了一元模上的多项式辗转相除法,这种除法相对于已有的方法有许多优点。     

虹及二次虹的形成原理

本文由光的折、反射出发,通过求光的散射极值,得出彩虹在天空的高度,并分析二道彩虹、第三道彩虹、全虹出现的可能性及它们的位置。     

最佳投影识别法用于三唑类化合物的抗真菌活性的分子筛选

将最佳投影识别法(Optimal Projection Recognition Method)应用于1-[2-(取代苯基甲硫基)-2-(2，4-二氟苯基)乙基]-1H-1，2，4-三唑类化合物的抗真菌活性的分子筛选，得到了建模所用的最佳模式识别投影图，建立了用于该类化合物抗真菌活性分子筛选的具有较好预测能力的数学模型．     

模拟退火法用于蒸汽吞吐注采参数的设计

应用模拟退火优化方法对蒸汽吞吐注采参数进行优化设计,该方法结构简洁,对初始点的依赖性不强,问题的维数也不受限制。通过对某井的前6个吞吐周期进行优化设计,确定出了蒸汽吞吐最佳注采参数,并和现场实际资料进行了对比。研究结果表明:应用模拟退火算法研究蒸汽吞吐注采参数优化设计效果明显。     

含有随机波动的风险敏感性控制的最优投资模型

该文主要讨论了由一个无风险资产和N个风险资产组成的投资组合，在波动率受经济因子影响以及不考虑交易费用和消费的情况下，利用风险敏感性动态规划控制在有限期限和无限期限内实现投资利润的最大化．     

冻土单轴抗压试验研究及盾构始发冻结优化设计

为保证浅埋深富水软弱地层的盾构隧道安全始发,采用人工冻结法进行端头加固。通过在室内进行冻土单轴抗压试验,得到可靠的冻土力学参数,并采用正交试验的方法分析冻结深度、冻结宽度和冻结温度对地表沉降和管片拱顶沉降的影响规律和影响程度,选取确定最优冻结加固方案。结果表明：土体冻结温度越低,抗压强度越大;对地表沉降和管片拱顶沉降的影响排序为冻结深度>冻结宽度>冻结温度;最优冻结方案为冻结宽度6m,冻结深度15m,冻结温度-20℃。     

The impact of parameter and model uncertainty on market risk predictions from GARCH‐type models

We study the effect of parameter and model uncertainty on the left‐tail of predictive densities and in particular on VaR forecasts. To this end, we evaluate the predictive performance of several GARCH‐type models estimated via Bayesian and maximum likelihood techniques. In addition to individual models, several combination methods are considered, such as Bayesian model averaging and (censored) optimal pooling for linear, log or beta linear pools. Daily returns for a set of stock market indexes are predicted over about 13 years from the early 2000s. We find that Bayesian predictive densities improve the VaR backtest at the 1% risk level for single models and for linear and log pools. We also find that the robust VaR backtest exhibited by linear and log pools is better than the backtest of single models at the 5% risk level. Finally, the equally weighted linear pool of Bayesian predictives tends to be the best VaR forecaster in a set of 42 forecasting techniques.     

Optimal Control of Teaching Process

It is clearly illustrated in[1 ] ,the quantity analysis of the dynamic process of teachingeffects has been clearly illustrated in the first reference,according to which we areinformed of the mathematic model of the teaching process;the function of teachers dwingthe process;as well as the influere on the process of comprehending ofthe students causedby several different functions.But that confines in the specific relationship betweenteaching and learly as far as a single different class,a concre…     

希尔伯特变换器优化设计研究

提出了一种基于神经网络算法的希尔伯特变换器优化设计方法，证明了神经网络算法的收敛性，提出了希尔伯特变换器的优化设计实例。仿真结果表明了该网络模型是高效的神经网络模型。     

两类新的无向双环网络紧优无限族

给出了无向双环网络 ( UDLN)的直径的一个新上界 .并由此构造出了两类新的紧优双环网无限族 ,改进了已有的结果.