查询词典 linear order

We discuss asymptotically best linear unbiased estimators of the Logistic population based on selected order statistics and give the formula of computing the ABLUE, the variance and the covariance of the ABLUE in limit, and properties of the ABLUE, and so on. We give the optimum chosen of spacing which is the ABLUE with maximum asymptotic relative efficiency based on complete sample when selected order statistics number is less than 10, and obtain its maximum asymptotic relative efficiency.

讨论基于Logistic总体Ⅱ型截尾样本的若干个样本分位数的总体分布参数的近似最佳线性无偏估计；给出了该近似最佳线性无偏估计的计算公式，估计方差与协方差的极限表达式及估计量的大样本性质等；给出了全样本，样本分位点个数固定，但不超过10情形下，使上述近似最佳线性无偏估计有最大相对联合估计效率时，样本分位数选取法及最大相对联合估计效率；为大样本情形下，该近似最佳线性无偏估计的应用提供了理论依据。

In order to reduce the error of a remote sensing area sentencing in two-stage survey of investigations, this article used the Bo'ai County state-owned tree farm partial remote sensing TM satellite picture and the correlation data establishes the visual solution to symbolize that, according to the solution which established translates the symbol to the place thing to carry on the remote sensing to interpret,cancelled in the room draws each place kind of boundary, extracted on the chart with the polyester membrane the area, may calculate according to the proportion interprets the area ,figured out interprets the area, simultaneously in order to enhance interprets the precision to obtain a more real reliable material, investigated 90 bottom classes in kindergarten's area from the location, and interpreted to these 90 bottom classes in kindergarten on the chart obtains the corresponding area,simultaneously established the linear model.

为了减少二类调查中遥感地类面积判读误差，本文利用博爱县国有林场部分遥感TM卫星图片和相关资料建立了目视解标志，根据所建立的解译标志对地物进行遥感判读，在室内勾绘出各地类边界，用聚酯膜求出图上面积，根据比例计算出判读面积，同时为了提高判读精度得出更加真实可靠的资料，从现地中调查了90个小班的面积，并对这90个小班在图上判读得出相应的面积，同时建立线性模型。

This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.

本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。

Assignment of infinite many poles for the first order generalized distributed parameter control system, coupled with the first order generalized lumped parameter control system, is discussed in Hilbert space with functional analysis and operator theory. The solutions with the constructive expression are given by the generalized inverse one of bounded linear operator.

应用泛函分析算子理论的方法，讨论了Hilbert空间中一阶广义分布参数控制系统与一阶广义集中参数控制系统所构成的一阶耦合广义控制系统的无限多极点配置问题，利用有界线性算子的广义逆给出了问题的解及解的构造性表达式。

Firstly,we introduce its definition,then construct two groups of operator functions by an elementary method,and extend the function f= t(t+2)log(t+2)/(t+1)~2 to linear situation,at last we discuss some results about operator monotone function under the complex order and conjugate complex order.

首先介绍了Furuta不等式的几何结构，将普通的算子序推广到更弱的算子序A~4≥(A~2B~2A~2)~2/3，讨论在此序下的函数的算子单调性，并且推广到更一般的序A~(2m)≥(A~mB~2A~m)~m/m+1，得到了一些新的研究方法与结果。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation , and obtain some precision evaluation.

摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数，得到了它们的精确估计。

A first order shear deformation theory of piezoelectric shell was proposed, which is based on Hamilton's principal, linear piezoelectricity theory and first order shear deformation laminated shell theory.

提出了一种压电层合板壳的一阶剪切变形理论。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。