一阶

A new algorithm of Arnold inverse transformation is proposed for the fact that the period of Arnold transformation depends on the image size.

针对Arnold变换的周期依赖于图像的阶数这一特性，提出了一种反变换算法。

Chapter three (the methods of generating chaotic signal and its applications): In this chapter firstly the mechanism that a simple kinetic system, subsection linear map system, can generate chaotic phenomena is affirmed, the characteristics of correlation function of the chaotic signal generated by this system are simulated, on this basis a simple applicable method for generating chaotic signal is given; secondly some typical circuits generating chaotic signal are designed, also use operational amplifier to design a third -order autonomous circuit with chaotic dynamics. The basic mechanism and typical structures of chaos in the application of communication are introduced systematically and a simple method is provided for generating pseudo random code signal; At last Chaotic signal is applied into the analysis of system characteristic.

第三章(混沌信号产生方法及其应用)首先针对一类简单动力学系统——分段线性映射系统能够产生混沌现象的机理及由该系统所产生的混沌信号的自协方差函数特点进行了证明和计算机仿真，提出了软件产生混沌信号的一种实用方法；其次分析讨论了几种能够产生混沌信号的典型混沌电路，提出了用运算放大器与阻容元件实现三阶自治混沌电路的基本原理；概述了混沌在通信领域中应用的基本原理和典型结构，提出了产生伪随机码信号的一种简单方法；最后将混沌信号用于系统的特性分析中。

SP. transient electromagnetic method: An electromagnetic method in which the waveform of the transmitted signal is a pulse, step function, ramp, or other form which can be considered to be nonperiodic and in which measurements are made after the primary field has stopped changing.

瞬变电磁法：一种电磁勘探方法，其中发射信号的波形是一个脉冲，阶跃函数，斜升函数或其它可认为是非周期的信号形式，且测量是在一次场停止变化后进行的。

This paper studied a filtering high order numerical method for one dimension constant coefficient hy2 perbolic function. The stability and error analysis show the efficiency of this method. Numerical examples are also given to verify the analysis results.

摘 要 考虑一维常系数双曲型方程的高阶数值解法，引进了一种稳定性过滤算子FN ，最后从理论和数值实验上分析了该过滤算子对数值解稳定性和精度的影响。

They are different only in that the lower right block is different, one is zero matrix, the other is nonzero symmetric positive semidefinite matrix.

论文中应用了两种离散鞍点问题的方法，一种是低阶混合协调有限元方法，另一种是M.A.C格式的有限差分法。

A new method of controlling moving path in real-time for engineering animation is presented based on de Boer algorithm for B-spline construction.

本文引入一种新的实时控制工程动画运动路径的方法，以构造B样条的德波尔算法为基础，在初始驱动样条路径上进行节点插入的局部升阶，生成新的插入节点u，并实时响应控制参数的输入v，将输入参数节点与节点插入生成的节点形成一组控制节点用来控制样条的偏移度，然后引入关于时间t的线性函数的质量权重Wk来控制路径曲线的偏移量。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principalcomponentanalysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used. A PCA-based method is used to analyze the distribution of Gaussian-Hermite of fingerprint image.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principal component analysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

We proposed a set of tabulate shim coils to improve the imaging field homogeneity for permanent magnet. By studying the magnetic spherical harmonics and its Taylor expansion, the proposal of designing lower-order radial coils was derived including x, y, xz, xz~2, x~2-y~2 etc. In addition, a novel composite design was presented for the axial coils. By controlling the shim currents of axial coils, different axial magnetic fields can be obtained. This method simplified the design process of axial coils, and made the axial correcting magnetic field more precise.

本文针对永磁体的组成结构提出了一种平板式匀场线圈设计方法，通过研究成像磁场的球谐函数以及通电圆弧在自由空间产生磁场的泰勒展开级数，导出了x、y、xz、xz~2、x~2-y~2等低阶径向线圈的设计方法，同时针对轴向线圈提出了一种新的混合式设计方案，能够通过控制线圈中的电流组合实现对不同轴向磁场分量的获取，简化了轴向线圈的设计过程，提高了校正磁场的准确性。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。