部分函数

The modulation function can be calculated by Fourier transform, filtering and inverse Fourier transform. The value of modulation function in areas of local shadow and abrupt discontinuities is lower than that in other parts. So modulation is a useful threshold to determine the quality of carrier stripe.

针对这种情况，本论文提出了通过傅立叶变换得到变形条纹图像的调制度函数，设置调制度函数阈值判断条纹质量的优劣，低于阈值的部分认为是不连续、阴影或陡峭区域，使用模板覆盖。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

They were also regarded as diseases or part of the morbid pathology of functions.

这些函数不过被看作是一种变态或是函数的不健康部分。

Based on the above work, a method is presented for translating LFC function definitions into the intermediate representation, which includes analyses of recursive parameters and definition forms of functions, parameter substitution, representation translation of patterns and expressions, transformation of function definitions from incomplete construction forms to complete construction forms, and pattern-matching translation.

在此基础上，设计了LFC函数定义到中间表示形式的翻译和变换方法，包括对函数递归参数和定义形式的分析，参数一致化，模式和表达式表示形式的翻译，部分构造式到完全构造式的变换，和模式匹配翻译等。

It is possible to use this form with function objects that define result_type , but only on compilers that support partial specialization and partial ordering.

如果要将这种形式用于函数对象，则该函数对象必须包含一个 result_type 类型定义，但是仅在支持模板部分特化的编译器中才有效。

It is possible to use this form with function objects that define result_type , but only on compilers that support partial specialization and partial ordering. in particular, msvc up to version 7.0 does not support this syntax for function objects.

如果要将这种形式用于函数对象，则该函数对象必须包含一个 result_type 类型定义，但是仅在支持模板部分特化的编译器中才有效。msvc直到7.0版（vc.net 2002）不支持这种方式。

It is complete for continuous functions on [0,1] (C[0,1]), and the properties of quick transformation and other well properties similar to Fourier system, but its partial sum is superiority to Fourier system as the approaching tool.

在此函数系上展成的Fourier级数有许多与三角Fourier级数相似的性质，三角形Fourier级数的部分和在作为函数的逼近工具时确实要比三角Fourier级数优越一些。

In part two, the optical spatiotemporal pattern in ring optic cavity is investigated. Using delay feedback with spatial perturbation method, the system shows roll, square, hexagon, homocentric circle,"honeycomb"and"snowflower" pattern with different spatial perturbation functions. Different patterns can be coexist and compete each other with the same perturbation function, which is the new character of this optical system with delay feedback.

第二部分，利用延时反馈的空间微扰方法研究了环形腔中二能级介质的光学时空斑图的控制，在不同的微扰函数作用下，出现了滚筒状、四方形、六角形、蜂窝状、同心圆以及"雪花"状等不同的斑图，并且在相同的微扰函数下出现了不同斑图之间的竞争，这种竞争是我们发现的这一具有空间微扰的延时反馈非线性光学系统光学斑图的新特征。

The cartoon component is described by piecewise smooth functions (Mumford-Shah model, or M-S model), while the texture is characterized by oscillating functions in G space.

其中结构成分用分段光滑的函数（即Mumford-Shah模型）刻画，纹理部分用振荡函数来描述。

Let be an n dimensional Riemannian manifold, the properties of harmonic functions on it are the interesting problems in geometric analysis.

在黎曼流形上的分析中，很大一部分是对流形上函数的调和性研究[1 - 2 ] ，并从中得到关于这些函数的性质。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了