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According to their processes of construction, the projection methods are classified into three types in the present paper, namely, the Helmholtz-Hodge decomposition projection methods, the operator splitting projection methods and the local continuous projection methods.

本文根据投影方法的构造思路，将众多的投影方法分成了3类，即： Helmholtz-Hodge分解类投影方法、算子分裂类投影方法和局部连续投影方法，并详细的介绍了3类投影方法的发展历程和求解步骤。

Then,the system effectiveness model of ADC is analyzed,and the calculation methods for availability and dependability of effectiveness model using Shannon decomposition and if-then-else operator are first presented.

首先对OBDD的概念和操作运算进行了简要介绍；接着对ADC系统效能模型进行了分析，首次提出了应用shannon展开和ite操作进行效能模型可用性和可信性向量计算的方法；最后应用OBDD操作运算对典型防空导弹系统进行了分析，并以可用性向量计算为例说明了应用OBDD的具体方法。

Base stations and mobile stations are a group of satellite observations, the base station will observe the data connected by data sent to the mobile stations, mobile stations that the observed data and the data itself is bad decomposition operator, which are mobile stations, and between the base station with high precision relative position of the mobile station will eventually calculate the solution of the three-dimensional data storage and transfer them to complete the dynamic observation.

基准站和流动站都是对一组卫星进行观测，基准站将观测到的数据通过数据连传送到流动站，流动站将该数据与本身观测到的数据进行差分解算，从而得到流动站和基准站之间的具有较高精度的相对位置，最终将解算出的流动站的三维数据存储并传输出来即完成了动态观测。

Keywords: Multiscales analysis,Marr edge detection operator,Wavelet decomposition,Edge detection,Degree of the details selection

小波分解的级数控制观察距离"调焦"，改变 Marr算子中的标准差σ、可实现在同一分辨率级上所要求检测边缘的细节程度。

In order to construct the spectral decomposition of the Frobenius-Perron operator for a general Chebyshev maps We define a suitable dual pairs or rigged Hilbert space, which provides mathematical meaning for the spectral decomposition.

为了构建广义Chebyshev映射在Frobenius-Perron算子下的一种谱分解。

Three methods for the computation of the isotropic tensor function,spectral decomposition method,eigenprojection operator method and representation theorem method,are compared.Different approaches to calculate the eigenvalues and their corresponding eigenvectors are also discussed.As an example,the exponent tensor function is calculated.

对计算各向同性对称张量函数的3种方法(谱分解法、特征投影算子法和表示定理法)进行了分析比较，同时也对如何计算特征根与特征向量的技巧进行了探讨，并利用3种方法对指数张量函数进行了实例计算。

A dynamic interaction schematic of an end bearing or elastic bearing pile with arbitrary force at pile top is founded. By using Helmholtz resolution and the operator decomposition method, Biots equations governing motions of a porous solid saturated with interstitial fluid are decoupled.

建立饱和土中端承桩和摩擦桩在任意激振力作用下的理论模型，利用位移势函数及微分算子分解方法，得到饱和土层Biot动力固结方程的分离变量解。

In this paper we define distribution cosine functions covering the degenerate case. We also consider the degenerate distribution function generated by a multi valued operator A, its relation to the integrated cosine function and the wellposedness of the degenerate abstract Cauchy problem.

引 言分布半群的概念最早由 L ions在 6 0年代引入，近年来，其他类型的分布半群相继被定义和讨论[1— 4]，由于研究退化线性方程的需要，多值算子对应的 Cauchy问题也开始受到人们关注，在 [2 ，4]中有退化情形的分布半群的定义及研究。

The data communication technology between DCS and DEH are widely used in power plants, and it makes the operation more efficient and safe with the control mode of shared operator stations for different control systems.

火电厂分散控制系统与汽轮机数字电液控制系统之间数据通信技术的应用越来越多，不同控制系统通过共享操作员站的控制方式对运行人员的操作既高效又安全。

Poisson's equation:In space where the source density is ρ, the Laplacian of a : potential U is 2 U = 4πρK, where is the operator del and K is a constant (gravitational constant in case of mass and gravitational potential).

泊松方程：在源密度为ρ的空间中，位场 U 的拉普拉斯算子为： U = 4πρK，。在米-千克其中为 del 算子，K 为常数(质量的万有引力常数和重力势)秒单位制中应去掉常数 4π。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。