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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。

This paper illustrates the process where projective transformation and affine transformation are employed to solve advanced geometrical problems.

引言变换是我们在几何解题中常用的方法之一。初等几何中的变换方法有对称变换、平移变换、旋转变换和相似变换，高等几何中的变换有射影变换、仿射变换等。

If get encountered cliff body Zai,enough nature is had inside narrow geometrical dividing line osmotic, cai heats up craft but can use the affusion that is similar to oil to extract place is used or vapour drive oil into ripe method.

如果钻遇的岩体在有限的几何界限内具有足够的自然渗透性，采热工艺就可能采用类似于石油开采所采用的注水或蒸汽驱油的成熟方法。

Secondly, by applying inverse Fourier integral transform to the displacement, and uniting the constitutive and geometrical equations, the analytical expression of stress in Laplace domain were derived. Thirdly, by defining dislocation density functions, the Cauchy singular integral equations were obtained according to the boundary condition and interface connection conditions, and the problem was reduced to algebraic equations by Chebyshev orthogonal polynomial. Based the these, the unknown coefficient of the algebraic equations can be solved by Schmidt method. Finally, the time response of dynamic stress intensity factor and energy release rate are obtained by inverse Laplace transform.

首先，利用积分变换方法，推导出粘弹性层的控制方程组；其次，引入位错密度函数，并结合边界条件和界面连接条件，导出反映裂纹尖端奇异性的Cauchy型奇异积分方程组，然后，应用Chebyshev正交多项式化奇异积分方程组为代数方程组，并采用Schmidt方法对其数值求解，最后，经过Laplace逆变换，求得动态应力强度因子和能量释放率的时间响应。

Of the dialog and allow to define the geometrical relationships between the child window which will alow to move and resize them in the desired way.

的对话框，并允许定义子窗口之间将alow的移动和调整所需的方式在他们的几何关系。

Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

A simplified vessel network consisting of arteriole, open and reserved capillaries, venule, initial lymphatics and arteriole-venule anastomose is adopted as the geometrical model.

几何模型是一个包括微动脉、开放与储备毛细血管、微静脉、初始淋巴管和微动静脉吻合支的简单网络。

In order to further understand the effect of deviation angle on the vertical resolution of the compensated neutron log, Monte Carlo simulation method was applied to study the vertical geometrical factors and formation sensitivity under different deviation angle conditions, furthermore the responses of the tool were simulated in laminations.

为了进一步认识井斜角对补偿中子测井纵向分辨率的影响，利用蒙特卡罗模拟方法，分析了在不同井斜角情况下测井仪器的纵向几何因子和地层灵敏度，并模拟了在薄地层中的仪器响应。

The mutual interference problem between the components caused by the limitation of the intersection angle of the incident light beams and the dissymmetry of geometrical arrangement is solved by a data processing system composed of electronic mixer and data solver.

由电子混频和数据解算装置所组成的数据处理系统，解决了由于入射光束交角的限制及几何布置不对称性所造成的分量间相互干扰问题。

The results indicate that the lift of the zero speed fin stabilizer is relauive to its geometrical size, angular velocity and angular acceleration.

结果表明，零航速减摇鳍的升力与它的几何尺寸、旋转角速度和角加速度有关。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48