线性部分

At first,the negative data is divided into several parts accumulatively according to the geometric distribution of the training data.

该方法首先根据样本的几何分布，用迭代的方式把负样本分成若干部分与正样本线性可分的样本；然后用L-SVM对这些正负样本进行分类，得到若干个线性分类器；最后，将这些线性分类器顺次组合，构成级联分类器。

The first part of this thesis is basic on the generalized Hamming weights of linear codes over rings and arranged as follows: In section one, we first introduced the definition of generalized Hamming weights and weight hierarchy over binary field GF (2) and its extension to nonlinear codes over GF (2) and linear codes over rings.

本文的第一部分就是围绕环上线性码的广义Hamming重量这个课题展开的，主要内容如下：第一节，首先介绍了GF(2)上线性码的广义Hamming重量和重量分级的概念，以及这些概念是如何被推广至非线性码及环上的线性码上的。

In order to implement nonlinear predictive control for the controlled plant, a T-S fuzzy predictive model is built on-line by using fuzzy clustering and linear identification, and discrete optimization of the control action is carried out according to the principle of Branch and Bound method.

算法由两部分组成：第一部分采用模糊聚类和线性辨识方法在线建立系统的T-S模糊预测模型；第二部分基于分支定界法的基本原理对控制量进行离散寻优，从而实现对象的非线性预测控制。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

As to nonparametric and semiparametric regression models, the most widely used regression methods include, spline method(such as smoothing spline, penalized spline and so on); local smoothness, such as Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; the third is orthogonal series, including Fourier series and so on.

所以三次光滑样条应用比较广泛。本文应用三次光滑样条方法来估计单指标部分线性模型中单指标参数和变系数部分线性模型中的函数系数。

In the first class there is a distinct linear region in the initial portion of the stress-strain curve corresponding to stage I in the continuous fiber composites, followed by a parabolic stress-strain curve, corresponding to stage Ⅲ in the continuous fiber composites.

在应力—应变曲线的初始部分中，第一级是一明显的线性区域，与连续纤维组织的复合材料的第一部分相对应，接下来被比喻成应力—应变抛物线，与连续纤维组织的复合材料的第三部分相对应。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

This paper is divided two chapters. The first chapter discusses the existence and uniqueness of solution for the Cauchy problem of the following quasilinear degenerate parabolic equationThe second chapter studies the geometric properties of a Riemannian manifold.

本文分两部分，第一部分是对如下形式的拟线性退化抛物方程Cauchy问题讨论了解的存在唯一性；第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。

In the first section,the existence of solution for a class of non-linear systems with three -point boundary problem is obtained by applying the differential inequality theory .

在第一部分中，我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性；在第二部分中，运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解；在第三部分中，利用对角化方法研究了一类向量二点或者三点边值问题解的存在性，并获得解及它的一、二阶导数的渐近估计。

A series combined test method tests were performed to determine the liquid-plastic limits of different samples of fine grained soil and silty sand. The result showed that the loglog relationship between the depth of penetration of fall cone and the water content of some samples were clearly not linear, and the liquid-plastic limit could not be obtained according to the linear relation. Effective test data could not be measured within the three arranges of water contents proposed by the present standards. The dependability was necessary to discuss about the liquid-plastic limit test results obtained from three arranges.

采用液、塑限联合测定法针对部分细粒土和粉砂进行液、塑限测定时，发现对于部分细粒土在双对数坐标上圆锥下沉深度与含水率之间的关系并非线性关系，无法依据线性关系确定液、塑限：采用规程建议的三个含水率范围有时根本无法获得有效试验数据；采用规程建议的三个含水率范围确定得到土的液、塑限试验结果的可靠性有待商榷；采用直线段试验数据确定的液、塑限进行分类可能出现相互矛盾甚至错误的结果。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。