r-首尾和循环线性方程组的求解

引入r-首尾和循环矩阵的新概念,利用多项式矩阵理论,给出求解r-首尾和循环线性方程组的快速算法.     

转基因水稻对赤霉素敏感性的初步研究

以水稻品种中花11及其转基因株系为材料,研究它们在苗期对GA3的反应程度.结果表明:用100mg/L的GA3在二叶期对各植株进行喷雾,5d后各个株系苗高都比以喷水的对照组显著增长.在充分考虑起始株高和试验期间对照正常生长动态变化的基础上提出了比净伸长率(specificnetelongateratio,GA3处理的净伸长率和对照净伸长率之比)的概念,并建议根据比净伸长率分析各株系对GA3的敏感性.应用该方法发现2份对GA3钝感的材料.文章报道这一结果并探讨了造成用比净伸长率与常用的“株高增长率”分析水稻品种/株系对GA3敏感性差异的原因.     

R1^2中aK＋bH=c型Weingarten曲面

讨论了R21中满足条件aK bH=c型的Weingarten曲面的可积条件,并给出了R21中满足K=2mH n,(m2 n<0)的类空曲面的Backlund定理.     

浅谈二次型化标准形的两种方法

给出了二次型化标准形的两种方法——合同变换法和正交变换法。     

半群Q(k)的极大正则子半带

设T(X)和O(X)分别是X上的全变换半群和保序全变换半群,Y是X的非空子集,令F(X,Y)={α∈T(X):Xα?Yα?Y},OF(X,Y)=O(X)∩F(X,Y).当Y=n≥4时,对任意的2≤k≤n-2,考虑半群Q(k)={α∈OF(X,Y):Im(α)≤k}的极大正则子半带的结构,利用Miller-Clifford定理,证明了半群Q(k)的极大正则子半带有且仅有两类:A(α)=Q(k-1)∪(J(k)\L_α),α∈J(k);B(β)=Q(k-1)∪(J(k)\R_β),β∈N(k).     

Al-Cu-Fe-Zn系准晶的形成规律研究

本文通过快速冷凝方法制得了Al-Cu-Fe-Zn系合金粉末。这种快冷合金粉末在室温下为准晶相和晶态相共存结构,当把粉末加热到773K左右时,晶态相开始消失并且转变为准晶相,加热到1000K晶态相基本上完全转变为准晶相,继续升温准晶相又逐渐减少,晶态相重新产生和增加。本文对Al-Cu-Fe-Zn系快冷合金粉末的加热相变、准晶形成规律、准晶的成分范围进行了详细的研究。     

管片衬砌可靠度分析实用方法研究

由于盾构隧道管片衬砌结构形式的特殊性,可靠度分析中仅采用截面承载力极限状态方程作为功能函数不够全面,故文中提出管片可靠度分析应采用双功能函数,即增选管片裂缝宽度控制方程作为第二功能函数.考虑到随机变量的非正态分布和功能函数的高度非线性,常规一次二阶矩法精度较低,提出采用映射变换和二次二阶矩相结合的方法进行管片衬砌可靠度分析.实例表明:双功能函数相互补充,可保证结构的安全可靠,映射变换和二次二阶矩结合分析法清晰简便,能较好地解决功能函数高度非线性、随机变量非正态分布等问题.     

萍乡煤矿在中国近代工业史上的地位与作用探析

诞生于清朝末年的萍乡煤矿,是早期洋务运动的产物,是中国最早采用西方先进生产技术和管理的现代化矿井,位列中国近代工业十大厂矿之一。本文从中国民族产业发展和经济社会转型层面,全新探析了萍乡煤矿创建和发展在中国近代工业经济史上的重要历史意义,以及安源精神的最初形成与发展。     

Bias in the estimation of non‐linear transformations of the integrated variance of returns

Volatility models such as GARCH, although misspecified with respect to the data‐generating process, may well generate volatility forecasts that are unconditionally unbiased. In other words, they generate variance forecasts that, on average, are equal to the integrated variance. However, many applications in finance require a measure of return volatility that is a non‐linear function of the variance of returns, rather than of the variance itself. Even if a volatility model generates forecasts of the integrated variance that are unbiased, non‐linear transformations of these forecasts will be biased estimators of the same non‐linear transformations of the integrated variance because of Jensen's inequality. In this paper, we derive an analytical approximation for the unconditional bias of estimators of non‐linear transformations of the integrated variance. This bias is a function of the volatility of the forecast variance and the volatility of the integrated variance, and depends on the concavity of the non‐linear transformation. In order to estimate the volatility of the unobserved integrated variance, we employ recent results from the realized volatility literature. As an illustration, we estimate the unconditional bias for both in‐sample and out‐of‐sample forecasts of three non‐linear transformations of the integrated standard deviation of returns for three exchange rate return series, where a GARCH(1, 1) model is used to forecast the integrated variance. Our estimation results suggest that, in practice, the bias can be substantial. Copyright © 2006 John Wiley & Sons, Ltd.     

一类线性变换的核分解问题

在一个多项式可分解为多个互质的多项式的基础上 ,对一类线性变换的核分解问题了研究 ,进一步阐明了它在线性空间分解中的应用