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This paper presents a method of localized linear manifold self-organizing map, which is able to learn a set of ordered low-dimensional linear manifolds in the high-dimensional vector space.

摘要提出一种局部化的线性流形自组织映射方法，可自主学习高维向量空间中的一组有序的低维线性流形。

Many high dimensional data in real world applications can be modelled as data points lying close to a low dimensional linear/nonlinear manifold.

真实世界应用中的许多高维数据都能被建模成为位于低维的线性／非线性流形附近的数据点。

Some methods based on statistics for dimensional position and data processing by such software as Excel are suggested for the calibration of the dimensional angle shown by a dynamic target using linear matrix CCD and video interpretation.

动态旋转靶标可以给出检测光电测量设备跟踪精度和测量精度的空间角度真值，针对动态靶标的空间角度标定问题提出了基于线阵CCD标定和视频判读标定的方法。

The opposition of zero dimensional place region versus multi-dimensional locative region is an important characteristic of spatial expressions in Mandarin Chinese.

三、方位参照是指叙述者选择观察点利用方向参照点、位置参照点和方位成分的关系确定空间和时间的方位域。

From our results, we predict steady speciation rates, more species in one-dimensional environments than two-dimensional environments, three scaling regimes of species–area relationships and lognormal distributions of species abundance with an excess of rare species and a tail that may be approximated by Fisher\'s logarithmic series.

这些结果还表明，生物多样性可以在没有具体物理障碍的条件下出现——这种情况与在繁忙车流中所观察到的现象相似：只要有交通，就可能发生交通堵塞，并不需要明显的原因。

But from the point of view of the relativity theory, time as well as space is changed by passing from one c.s. to another, and the Lorentz transformation considers the transformation properties of the four-dimensional time-space continuum of our four-dimensional world of events.

但是从相对论的观点看来，时间和空间从一个坐标系过渡到另一个坐标系时都是要改变的，而洛伦兹转换就是考察事件的四维世界的四维时空连续区的转换性质的。

We can say that the core and the final destination of Marcuse's humanistic thoughts is to achieve the liberation of human nature and a change from one dimensional man to two dimensional man .

马尔库塞一生主张人性至上，追求人的解放，他的人本哲学思想的核心和最终归宿就是要实现人性的解放，实现单向度的人向双向度的人的转变。

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。

Remember that all I am asking you to do is to indulge or engage in an act of connection with me, which means engaging in an act of limited Fourth-dimensional Conscious awareness, which will move you out of the mesmeric attraction of the three-dimensional frame of reference and its promotion of your ignorance, your sleep, you dream, your illusion, your misperception of Reality.

你不必知道这么做会带来什么效果，只稍记得我所要求你的就只是容许自己与我连结，也就是进入有限的第四度空间絶对意识中，它能让你摆脱那诱人的三度空间思想架构的吸引力，远离这架构所鼓吹的无知、沈睡、幻梦、假相，以及对实相的妄见。

Remember that all I am asking you to do is to indulge or engage in an act of connection with me , which means engaging in an act of limited Fourth-dimensional Conscious awareness , which will move you out of the mesmeric attraction of the three-dimensional frame of reference and its promotion of your ignorance , your sleep , you dream , your illusion , your misperception of Reality .

你不必知道这麼做会带来什麼效果，只稍记得我所要求你的就只是容许自己与我连结，也就是进入有限的第四度空间絶对意识中，它能让你摆脱那诱人的三度空间思想架构的吸引力，远离这架构所鼓吹的无知、沈睡、幻梦、假相，以及对实相的妄见。

The rate controlling mechanism is a combination of one-dimensional rodlike growth and one-dimensional homogeneous parabolic growth.

晶核的—维棒状生长控速机制与—维抛物线型生长控速机制同时存在。

If the fish sink to the bottom add more salt to the water in the container.

如果鱼沉了下去，加更多盐到水中。