线性部分

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

Following the introductory first chapter and the second chapter on linear algebra and convex analysis, the book is organized into two parts: linear programming and networks flows.

在第一章简介和第二章线性代数和凸分析之后，本书分为两部分：线性规划和网络流。

The second part has summarized from the one-dimension and multivariate respects the abundant approximation properties of Bernstein polynomials, mainly including the estimation of approximation degree, derivative approximation, linear combination approximation and weighted approximation.

第二部分从一元和多元两个方面系统总结了Bernstein算子丰富的逼近性质，主要包括逼近度估计、导数逼近、线性组合逼近和加权逼近等。

In the case of the iterative learning control for linear continuous system with the initial error, a kind of ILC approach with compensation to the initial error is presented using the theory of the two dimensional (2 D) linear continuous discrete system.

针对线性连续系统迭代学习控制中含有固定初始误差的情形，利用二维系统理论给出了一种带有初始误差修正的迭代学习控制方案和这种迭代学习控制规律收敛的条件，并说明由此设计的迭代学习控制器简单有效，可实现在初始时间段以外部分对期望轨迹的完全跟踪。

The complexity and regularity of short-duration epochs of electroencephalographic data were analysed using SampEn along with the method of surrogate data.

在利用样品熵算法对短时程脑电数据的复杂度和规则度进行计算之前，首先应用了代替数据分析法，以排除所分析的实验数据是由线性加随机部分构成。

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid.

通过引入椭球坐标系，利用拉普拉斯方程及其边界条件，求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布，并进一步得出了带壳椭球颗粒的部分共振条件。

In part III by using capacity theory and extension theorem of Lip-schitz functions we first discuss the uniqueness of weak solution ofnonhomogeneous quasilinear elliptic equations〓in space〓,which is bigger then〓.

第三部分首先用容量理论、Lipschitz函数延拓定理讨论了一类非齐次拟线性椭圆型方程〓在比〓更大的空间〓中弱解的唯一性。

In part V using Lions' second Concentrate Compactness Lemma andvariational method,we prove the existence of minimal positive solutionof a class of quasilinear elliptic obstacle problems〓in space〓.

第五部分使用Lions的集中紧性原理和变分方法，我们证明了一类非齐次拟线性椭圆型方程对应的障碍问题〓在〓中极小正解的存在性。

The mutual inductance of the equivalent circuit, coupling coefficient, quality factor of the DR and microstrip coupling model have been discussed.

本文分析了振荡器的基本原理，介绍了振荡器的两种基本模型；给出了应用广泛的环路增益公式的推导过程，并提出了新的环路增益公式；讨论了振荡器相位噪声的线性化模型；介绍了锁相环的基本原理，分析了锁相环各部分电路相位噪声的传递函数。

In the second part, we make use of fixed point theorem of conic expansion and compression to prove the existence of two positive solutions in Banach spaces for ...

第二部分利用锥拉伸与压缩不动点定理证明了Banach空间中非线性项系数带变号的二阶四点边值问题两个正解的存在性。

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％。