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This paper first studies the varying coefficient model by Hastie and Tibshirani(1993), and establishes unknown function coefficients and variance error estimator, and discusses asymptotic properties of estimators.

本文首先研究了Hastie和Tibshirani(1993)提出的变系数模型,运用小波方法建立了未知系数函数以及模型误差方差的估计量,并讨论了这些估计量的渐近性质。

The flow field of the PCCP pipeline is simulated, so the head loss and resistance coefficient are calculated which are consistent with the test data. Additionally, other pipelines of different diameter are also simulated, and the resistance coefficient's law along with the diameter is carried out.

对PCCP管道中的水流流场进行数值模拟,计算并求解出管道的水头损失和阻力系数,与模型试验取得了较为一致的结果;另外,还对不同管径的管道进行了模拟,得到了阻力系数随管径的变化规律。

The two most important performance parameters-overall heat transfer coefficient and Solar Heat Gain Coefficient are calculated and analyzed.

摘要建立了低辐射能玻璃窗的物理传热模型,计算并分析反映窗户性能的两个参数:传热系数U和太阳得热系数SHGC,着重讨论了低辐射能玻璃窗的这两个参数的特点和影响因素,找出了其节能的机理。

At present the cell array lens is usually cylinder or hemispheroid whose fill-factor (the ratio of light area and total area ) can achieve about 90.7%, so we need higher fill-factor arrays sometimes such as in the compound eye simulation optical system.

由于传统的圆形孔径透镜阵列填充系数较小,而在模拟复眼光学系统中需要高填充系数的透镜阵列。

Fiber layer ply increases, resonance absorbs frequency to increase to unit weight of; of shift of low frequency direction, sound power absorption coefficient increases in the begining more apparent, subsequently rate of hole of; of amplitude hasten delay increases, hempen fiber sound power absorption coefficient increases gradually.

纤维层厚度增加,共振吸收频率向低频方向移动;容重增加,吸声系数开始时增加比较明显,随后增幅趋缓;孔隙率增加,大麻纤维吸声系数逐渐增大。

Element contents such as Au, Zn, Sb, Cd, Sn, As, and Hg in Proterozoic strata in the southern Jilin province show obviously higher. Au, Ag, W, Bi, Sb, and As in the Baishan gold deposit have high concentration and heteromorphosis coefficient with character of multiple element overlying anomaly.

吉南元古庙分布区Au、Zn、Sb、Cd、Sn、As、Hg等元素丰度具有显著偏高特征,白山金矿区Au、Ag、W、Bi、Sb、As等元素具有浓集系数高、变异系数大、多元素套合叠加异常等特点。

The results showed that the pressure and pressure derivative of non-newtonian fluid is higher than newtonian one;The power index is more smaller,the pressure and pressure derivative is more higher;The effect of skin factor on transient was different from that of power index;The storativity ratio and inter-porosity flow factor is just same as the newtonian fluid,and the effect of outer-boundary on transient pressure is different from that of newtonian fluid.

结果表明,非牛顿流体的压力及压力导数都明显高于牛顿流体;幂律流指数越小则压力和压力导数越大;表皮系数和非牛顿流体幂律流指数对压力响应的影响有着明显的不同;而弹性储容比和窜流系数的影响和普通三重介质相同,只是由于非牛顿流体的影响其"凹陷"的位置升高;外边界的影响也和牛顿流体的情况明显不同。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用,近年来,由于改进权系数的方法,发展了这类不等式,并进一步推广应用和研究,应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式,同时考虑了它的等价形式。

The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵,利用非线性几何线性化的方法找出所谓的"输出方程",在一定的条件下求出坐标的同胚变换,将控制项系数矩阵变换为常矩阵,然后利用常规的控制方法进行混沌系统之间的同步化。

The second-order linear homogeneous differential equations in differential equation theory occupies an important position, but the second order differential equation has no general solution method, most of the solutions of these equations is difficult to obtain analytical expressions and even some impossible to obtain the solution of the form, and the second order differential equation solving is divided into homogeneous and inhomogeneous problems.

二阶线性齐次微分方程在微分方程理论中占有重要位置,但二阶变系数微分方程却没有一般的求解方法,大多数这类方程很难求得解的分析表达式甚至有的根本不可能求得其解的分析形式,并且二阶变系数微分方程的求解又分为齐次的和非齐次的问题。

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