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On the basis of analytic geometry, the projection curve types of intersection lines of cone and cylikder, cone and cone on V plane is hyperbola and cone and sphere is parabola.

基于锥与圆柱、圆锥、圆球正贯时，相贯线V 面投影为双曲线和抛物线，且X 向极值点所在高度只与柱、锥轴线、球心距离锥顶高度和立锥锥顶角有关，而与它们的直径无关，给出了求该极值点的作图方法。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

The boundary contour formulations of evaluatingstresses from the Somigliana stress identity are derived for 2-D problemswith quadratic boundary elements.The boundary contour method basedon the traction boundary integral equation is further discussed.Elasticproblems are first solved using the traction boundary contour method.Amixed collocation of the displacement boundary contour formulation andtraction boundary contour formulation is given.(4)The dual boundarycontour method is developed for the analysis of crack problems.

3建出了Somigliana应力积分式的二维和三维问题的边界轮廓法理论；给立了二维问题由Somigliana应力积分式计算应力的二次形函数的边界轮廓法方程，进而给出了基于面力边界积分方程的边界轮廓法；提出了一种以位移边界轮廓法方程与面力边界轮廓法方程混合配置的方案，首次实现了用两种积分方程相结合来求解弹性力学问题。

David Carse, New Zealand legislation under the China International Exhibition Center of goods is based on this point, Chinese enterprises will be the long-term products in overseas sales, overseas businessmen to facilitate negotiations and carefully chosen, long-term, close to publicize their products and image, so that it truly into the International supply chain.

恒立国际下属的新西兰中国商品展销中心正是基于这一点，将中国企业的产品长期在海外展销，方便海外客商精心挑选和洽谈，长期、近距离地宣传企业的产品和形象，使其真正进入国际供应链。

3According to the contradistinguish of all kinds of FFT processing architecture, the design thoughts, rule, method, the characteristics of radix mixed FFT algorithm meets the requirements of scalable FFT architecture. The other FFT algorithms have their own limitations.

3通过分析和比较各种FFT算法的特性和规律后得出，基于FPGA设计傅立叶变换点数可灵活扩展的高速FFT处理器，高组合数FFT算法是最优选择，基一X这种任何基FFT都有扩展的局限性，因为后者是前者的特例，对前者的研究可以得出一般规律的总结，使得高速FFT处理器的结构扩展更为方便和灵活。

By using this method, the angular frequency, amplitude, initial phase angle, decay constant of each component in transient voltage and/or current waveforms can be precisely extracted. Also, all other kinds of transient procedure can be analyzed by this method. Thirdly, a new definition of generalized instantaneous reactive power and generalized instantaneous reactive current in dq0 coordinates under any nonsinusoidal and unbalanced three-phase circuit is proposed for the first time. The detection and compensation method for different instantaneous reactive currents are also concerned.

本文首先提出了用于快速高精度频谱分析的一种改进快速傅立叶变换方法，该法具有速度快、精度高、抗混迭、不受采样定理约束、可以分析出谐次大于N／2的频谱系数等特点，可方便地应用于电力系统谐波分析及其它各类频谱分析；然后提出了基于非线性最小二乘优化法的电力系统暂态波形分析方法，可准确求出电力系统暂态电压、电流波形中各个分量的角频率、幅值、初相角及衰减常数，并可广泛应用于各类暂态过程波形分析。

This paper proposes one set of leakage point location system based on the correlation analysis, through the virtual instrument technology. We choose the water sound signals as the studying object when the pipelines leak out, carry out the orientation task via the Fast Fourier Transform.

本文采用虚拟仪器技术，设计了一套基于相关分析算法的管道漏点定位系统，即选择管道泄漏时产生的、在管道中传播的声发射信号为研究对象，通过基于快速傅立叶变换(FFT，Fast Fourier Transformation)算法的相关分析来实现漏点的检测与定位。

The analysis of the optical signal transmission characteristics and the physical parameters provides the theoretical foundation for optimizing the design and improving the performance of AWG; and the optimizing design numerical value calculation method solves the complex problem of the optimizing design of the AWG, it can also provide a way for AWG computer aided design system; the AWG optical signal processing analysis provide a way for optical signal Fourier transform, serial and parallel transmission, circle shift, matrix transform and differential processing; the optical signal processing characteristics of AWG develop AWG to use for new field, and the optical signal processing will play an important role on all-optical networks in the future; by the definition of the wavelength transform matrix of the AWG, the signal output positions that come from these input signals of the different wavelength or the same wavelength but the different input ports and carrying different signals can be accurately determined, and the wavelength transmission matrix plays an important role for analyzing the routing of the complex optical network, or designing the network nodes such as the optical path add/drop multiplexer and optical cross connect device; the wavelength transmission matrix also provides a method for monitoring and managing the wavelength transmission of the optical network nodes; e analysis of the AWG' OXC node structure and wavelength routing provides a way for realizing the OXC, especially for multi-path/multi-wavelength OXC and the intelligence node of the optical networks; by the studying of the control plain characteristics, router, traffic engineering, program and the improved arithmetic of the wavelength routing, the method for realizing the GMPLS' OXC optical transport network is provided, and it play an important role for the study of the automatic switched optical network; the time-frequency analysis can provide more information about the dispersion and energy changes of .the pulsed light transmission in the singlemode fiber, it also provides more useful parameters for analyzing the dispersive accumulating and dispersive compensating.

AWG光信号传输特性与相关参数的分析，为进一步优化设计AWG及提高其性能提供了理论依据，而优化设计计算数值方法解决了AWG优化设计计算的复杂问题，为进一步建立AWG的计算机设计系统提供了基础；AWG光信号处理的特性分析，提出了AWG应用的新领域，为光信号的傅立叶变换、串并传输、循环移位、矩阵变换、微分处理等提供了一条途径；波长传输矩阵变换关系的建立，不仅得到了确定多路AWG每路信号从输入端口到输出端口的准确输出位置的方法，而且在分析应用AWG实现复杂的光通信网络路由的连接、特别在设计分插复用器和交叉连接器等网络节点时有重要的作用，能有效而准确地确定波长的路由关系，为实现节点波长传输路由的监控和管理提供有效手段；基于AWG的OXC结构和波长路由的确定为实现OXC技术、特别是多路多波长的OXC和光网络的智能节点技术提供了有效的方法；控制平面的特征、路由器、流量工程、程序及改进的波长路由算法的研究实现了基于GMPLS的OXC光传送网络的控制平面，为建立自动交换光网路提供了一定的基础；时频分析可以更直观和更清晰地描述脉冲信号在单模光纤中传输色散和能量的变化，为色散积累和色散补偿提供有效的分析参数。

For frequency information fluid identification technology:the basic theory of fluid identification based on frequency information has been introduced,for inner and external factor affecting frequency,some steps have been proposed to attain reserved amplitude and frequency analysis data with high resolution,high S/N ratio;through the comparison of time-frequency analysis method, the high accuracy time-frequency analysis method has been selected to extract time-frequency attributes;the analysis method flow of common single frequency fluid identification has been proposed,according to the data of full frequency band,several anomaly zone modes of common single frequency attribute have segregated; incorporating converted wave and compression wave,fluid identification method based on PS wave combined time-frequency analysis has been proposed;the AVO property of various fluid type in frequency domain has been studied;the generalized fourier analysis method,Proni absorption filter has been introduced,and researched for anti-noise and for the seismic processing interpretation flow.The above technology have been applied to fluid identification of organic reef in WBT area in the east of Sichuan and fluid identification of clastic rock in GUANGAN area in the middle of Sichuan,the results show that the above methods are effective.

基于频率信息的流体识别技术方面：介绍了利用频率信息流体识别的基本理论，针对影响频率的内、外在因素，提出一些针对措施，以获得高分辨率、高信噪比的保幅、保频分析数据；通过时频分析方法的比较，选取高精度的时频分析方法提取时频属性；提出共单频属性进行流体识别的分析方法流程，结合全频带数据，分出几种共单频属性异常带模式；联合转换波资料和纵波资料，提出基于纵横波联合时频分析进行流体识别方法；研究了频率域内不同流体类型AVO现象；引进一种广义傅立叶分析方法：Proni吸收滤波，研究其抗噪性以及进行地震处理解释的流程；将这些技术应用川东北五百梯区块进行生物礁储层流体的识别和川中广安陆相碎屑岩的流体识别，取得较好的效果。

Firstly, the realizable ways of signal detection and sample、 power circuit and the application of low-consumption model of MSP430 are discussed, by which the required function of current protection and voltage protection can be realized. Secondly, different protection algorithm based on micro-computer are discussed in this article, and from the virtues and defects of Fourier algorithm, an improved algorithm is put forward, and the importance of the improved algorithm is displaced. Thirdly, according to the national standard of GB/T18858 .3-2002, the principle of networklization of intelligence trip relay and how to realize it are mentioned. Lastly, using the current conditions, the test of precision is done. The experimental date present that the system is working well and can realize the real-time function of on-line detection.

首先在硬件设计上，对于信号检测、处理、电源电路、MSP430系列单片机的低功耗方式应用以及人机接口电路等问题提出了实现方法，基本实现了大范围电流、电压信号实时监控等功能；其次，本文还对当前各种微机保护算法进行了介绍，分析了傅立叶算法在实现智能脱扣器保护功能中的优缺点，并针对傅立叶算法中计算偏于复杂的问题对该算法进行了改进，提出了基于FFT的改进算法，通过算法的分析和比较，对改进算法的性能给出了评价；然后结合我国现场总线国家标准GB/T18858.3-2002讨论了DeviceNet现场总线在实现脱扣器网络化的原理，实现方法，论述了通讯接口电路的设计；最后利用现有条件，对装置进行了性能测试，试验数据说明系统工作状态较好，可以满足低压配电网自动化对低压脱扣器的各项要求。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失