线性的

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

We give out the formula of the ordinary solution of the second order linear homogeneous differential equations with the parameter"λ" and the two kinds of second order linear nonhomogeneous differential equations with the parameter"λ".

给出了含参数λ的二阶线性齐次微分方程及两类含参数λ的二阶线性非齐次微分方程的通解公式。

Minimum squared-error is one of the commonly used criteria to find the weight vector of a linear discriminant function.

最小二乘误差是用于确定线性鉴别函数的重要准则之一，它将寻找鉴别函数中的权向量的问题，归结为求解一个线性方程组。

After discussion of the relation of MR〓 and ALT, an algorithm proposed by Zhongping Qin and Huanguo Zhang, two conclusions are obtained: if a weak key can be successfully attacked by the method of reduced echelon matrix, it can also be successfully attacked by a linear R〓R〓 transformation; meanwhile, there exists such a weak key that can be successfully attacked by the algorithm MR〓 or linear R〓R〓 transformation, but this key can not be successfully attacked by the algorithm ALT. For a NFA, according to the number of solutions for the image equation of its R〓R〓 transformation, there exist two sufficient criteria about its weak invertibility and weak inverse.

通过比较MR〓与覃中平和张焕国提出的攻击FAPKC加密情形的算法ALT，证明了如下结果：凡用约化梯阵方法能攻击成功，用线性R〓R〓变换也能攻击成功；同时，存在着用算法MR〓或线性R〓R〓变换攻击成功的弱密钥，用算法ALT攻击失败。

Ii The problems of optimal control of piecewise linear affine descriptor systems are studied by using some elementary matrix transformations and line matrix inequalities.

二、运用初等矩阵变换和线性矩阵不等式，初步研究了分段线性仿射广义系统的二次最优控制问题，得到了系统二次最优控制的上界、下界，估计成立的条件。

Chapter 2 and Chapter 3 of this dissertation,we discussoptimal boundary control problems for a semilinear elliptic type equation with linearboundary condition and nonlinear boundary condition,respectively.

全文共分为三部分内容：在第一部分即本文的第二章和第三章中，我们分别讨论了带有线性边界条件以及非线性边界条件的半线性椭圆型方程的最优边界控制问题。

A class of elliptic problems in Orlicz-Sobolev space with Neumann boundary conditions are studied. The sublinear case and the superlinear case are discussed, and using the classical critical point theory with the Cerami compactness condition two existence theorems are given.

研究一类在Orlicz-Sobolev空间上具有Neumann边界条件的椭圆问题，分别讨论了次线性和超线性情形，利用满足Cerami紧性条件的经典临界点理论给出两个解的存在性定理。

In 1960's, the famous statist,named Moore, proved the asymptotic normality of one kind of linear order statistic. While Hajek gained the equational condition of the asymptotic normality of rank statistic.

早在二十世纪六十年代，Moore构造了一种较为一般的线性次序统计量，并证明了它的渐近正态性，而Hajek也得出了著名的Hajek基本定理，找出了线性秩统计量渐近性的一个充要条件。

Choosing different values of red, green and blue to form different colors, masks composed of these colors can be obtained by color film recorder.

通过选取不同RGB值组合成特定颜色，由彩色胶片输出仪输出这些颜色组成的彩色掩模，获得的彩色胶片掩模用来线性调制曝光量，从而实现二元光学元件台阶深度的线性化。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。