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In light of the convergence theorem obtained in Chapter 2, a result on topology preservation of 2-dimensional SOM algorithm with continuous inputs is given. In Chapter 4, an equivalence relation on n dimensional Euclidean space, called equi-action relation, is introduced and a number of properties on this relation are studied.

指出了已有的有关SOM算法拓扑保序定义的缺陷,并在此基础上,给出了一个具有连续输入的二维SOM算法的拓扑保序新定义;利用第二章中的收敛性定理,我们进而获得了一个具有连续输入的二维SOM算法的拓扑保序性定理。

In the relation of person and person, material and norm form the medium of social contact; and in which, the relation of person and person with material as medium, becomes the economic content or the embodiment of"advantage"in social contact; and the relation of person and person with norm as medium, becomes the ethics intension or the requirement of"justice"in exchange.

在人与人的关系中,物质与规范构成交往的中介;其中,以物质为中介的人与人之间的关系成为交往中的经济内容或"利"的体现;以规范为中介的人与人之间的关系成为交换中的伦理内涵或"义"的要求。

However, the study based on the analysis of open market operation indicates that the relation between open market operation and monetary aggregate is certain, but the certain relation does not exist between open market operation and interest rate, and the uncertain relation between open market operation and interest rate comes from the uncertainty of IS curve's slope.

以公开市场操作为对象,本文研究表明,公开市场操作和货币量之间确实存在确定的关系,而和利率之间的关系是不确定的;导致利率和公开市场操作关系不确定的主要原因是IS曲线的斜率是不确定的。

Words are in different sense relations with each other There are generally 3 kinds of sense relations : sameness relation , oppositeness relation and inclusiveness relation

一般来说有三种公认的涵义关系:即相同关系,对立关系和内包关系。

In real life, the primary principle of justice in domestic relation and that of international relation are different. The primary principle of justice in domestic is equality, the primary principle of international relation is order.

在现实生活中,国内关系的正义和国际关系的正义具有不同的准则,国内关系正义的基本准则是平等,国际正义的基本准则是秩序。

Combining with the National Natural Science Foundation ofChina(No.50478032), following researches were done in this thesis: 1 The variation regularity of the ultimate anti-bending capacity of therectangular-sectioned beam with different corrosion has been obtained through thequalitative analysis of 48 beams (32 corroded beams and 12 comparing beams) withaccelerated corrosion; 2 The conclusion has been obtained that the strain of corroded steel bar andconcrete no longer fit in with the assumption of plane section through the analysis ofthe strain data, the strain relation of steel bar and concrete in the mid-span section ofvariously corroded beams at ultimate has been obtained. Through the building of newgeometric relation, the expression of the height of compressive area in the corrodedbeam with rectangular section has been deduced, and the formula with corrosion rateas the main variable for the anti-bending capacity of the corroded concrete beam hasbeen suggested and verified by experiment.; 3 The influence of steel bar corrosion and the concrete regression to the flexureductility coefficient of the corroded structure component has been analyzed. Based onthe relation of steel bar and concrete at yield and ultimate, the expression for theflexure at yield and ultimate of corroded reinforced concrete beam, and the model forthe calculation of the flexure ductility has been built.

本文结合国家自然科学基金项目(50478032)"既有钢筋混凝土桥梁时变可靠度研究",主要进行了以下研究工作: 1通过对48根快速锈蚀钢筋混凝土矩形截面梁(32根锈蚀梁和12根对比试验梁)数据的定性分析,得到了不同锈蚀率下,锈蚀钢筋混凝土矩形截面梁极限抗弯承载力的变化规律; 2通过对应变数据的分析,论证了锈蚀构件钢筋和混凝土的应变不再符合平截面假定的结论,并通过回归分析得出了不同锈蚀率的螺纹钢筋梁和光圆钢筋梁在极限弯矩作用下,跨中截面处钢筋应变和钢筋处混凝土应变的关系,通过构造新的几何关系,得出了锈蚀钢筋混凝土矩形截面梁计算受压区高度的表达式,既而得出了以锈蚀率为主要变量的锈蚀钢筋混凝土矩形截面梁的正截面抗弯计算建议公式,并通过试验数据加以验证; 3分析了钢筋锈蚀和混凝土劣化对锈蚀构件曲率延性系数的影响,结合钢筋屈服和极限弯矩两种状态下钢筋和混凝土的应变关系,分别得到了锈蚀钢筋混凝土矩形截面梁屈服曲率和极限曲率的计算表达式;既而推导出曲率延性系数的计算模型。

With the method and the relation between the center of a circle and a triangle, the relation between the triangle and the circle can be determined rapidly, hence to quickly and correctly determine the position relation between the projections of the triangle plane and the tool in tool axis direction, and raise the efficiency of 3-axis NC machining.

借助于该方法及圆心相对三角形的位置关系,可以快速判别三角形与圆的位置关系,从而能据此快速、准确地判别三角片与刀具两者在刀轴方向投影的位置关系,提高3坐标数控加工干涉检查的效率。

If the fuzzy preference relation is of unacceptable consistency,then we can return it to the decision maker to reconsider structuring a new fuzzy preference relation until the fuzzy preference relation with acceptable consistency is obtained.

对于一致性较差的模糊偏好关系,则需反馈给决策者重新进行判断,直至得到一个一致性可接受的模糊偏好关系为止。

Furthermore, the relationship between discharges of iron powder and flow time, the relation between discharge rate and vibration frequency, and the relation between discharge rate and vibratory amplitude are also studied by means of experiments, and a graph representing the variational relation among these parameters is made.

并通过实验方法研究了80目铁粉通过小孔流出时,其流动性与孔径以及振动加速度的关系、流出体积与流动时间的关系以及流量与振动频率、振幅的关系,并给出了其间的变化关系曲线图。

Based on the self-relation coordination counseling model proposed by Chen (2005), this study examined the major themes in relational conflict interaction pattern in conflict relation, inner self-conflict embedded in the conflict relationship, components of facilitating self-relation coordination, and the coordination outcome in couple counseling.

本研究之目的是以「人我关系协调」谘商理念与架构( Chen, 2005)为基础,探究谘商中两性伴侣面对关系冲突时,所出现的冲突议题、冲突互动模式、关系冲突背后的内在自我冲突、及有助於促进情感关系协调的要件以及关系协调的结果。

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Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气,收缩臀部肌肉;拱起身体,尽量抬起头来,右腿伸直朝向天花板(膝微屈,以避免肌肉紧张)。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化,但却比去年同期高8%。

However, to get a true quote, you will need to provide detailed personal and financial information.

然而,要让一个真正的引用,你需要提供详细的个人和财务信息。