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This gives a new description of human recognition mechanism from the view of information geometrical and algebraic topological treatment, the results include Propose a structure representation and system identification approach for neural networks, based on the concept of simplical complexes and dual affine coordinates in the dual flat manifold.

主要的结果包括：提出用对偶平坦流形上的单、复形结构和对偶平坦流形的对偶仿射坐标作为神经网络内在结构表示的一种方法，具有广泛的意义。

That is that information processing of neural networks is viewed as the composition of the two steps: field organization and field action, in which, field organization transformation converts input pattern into relevant structure representation, extracting the underlying architecture features and forms a architecture representation in action transformation space; The field action transformation converts the features representation into expected output. In strategies, we use the dual affine coordinates in dual flat manifold as way of representation of field organization system and field action system, which established a theoretical framework of analysis the coupling mechanism of information processing from the view of point of structure representation and model generation.

在具体人工神经网络结构描述的策略上，利用对偶流形空间上的对偶仿射坐标概念分别表示场组织变换系统和场反应变换系统，建立起从问题的结构表示和模型生成两种观点来分析信息处理的理论框架；分析了有监督和非监督学习人工神经网络模型在神经场变换机理下的形式化描述。

From the geometric point of view, the induction motors belong to a kind of affine nonlinear systems.

从非线性系统几何理论的观点上看，异步电动机系统属于一类仿射非线性系统。

We are imperative to study that issue from the point of view of the socialist political civilization during the new period of building of a comparatively affluent society.

在全面建设小康社会的新时期，从社会主义政治文明的角度，研究我国的政党监督显得尤为迫切。

And we have to have a realistic view of who we are working with in Afghanistan.

而且我们必须对我们在阿富汗的工作伙伴持有现实的观点。

In view of the aforementioned advantages, many companies and other organizations have implemented the activity-based costing system.

正是基于上述的优点，许多公司和其他组织已经开始应用作业成本计算制度。

From the clinical trials of view, at least 85% of them have a protective effect after vaccination.

从临床实验来看，至少有85%以上的人接种以后具有保护作用。

The method of exploration prospect evaluations for the Paleozoic source rocks in view of aftermost refilling and lageffect of quadric hydrocarbon generations was presented.

立足于超晚期成藏及充分考虑烃源岩"二次生烃迟滞效应"，提出了叠合盆地老烃源岩系油气勘探前景评价方法。

In their view,life with the nature of lazy is the aftertaste of the Old Shanghai.

在他们看来，慵懒随性的生活里透着老上海的余韵。

In the view of the description of Secularity and Afterworld in the Quran and the Sunnach, it analyses and induces the concrete contents and thinking.

第二，从伊斯兰"两世"思想的基础、体现及精神实质的角度进行分析、研究，并探讨伊斯兰哲学各个流派对"两世"思想的不同阐释。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。