极限圆

LIU Hui's Cyclotomic Method is one of the greatest achievements of the history of mathematics in China, even in the world, in which the special approach to understand the infinity and the method to solve it are presented.

刘徽的"割圆术"是中国数学史上的重要成就之一，其中包含着中国数学家对无限问题的独特认识和致用的处理方式。很多高等数学教科书在讲述极限概念时大都提及，但所述，并未体现刘徽本意。

His many contributions included the method of dissecting a circle which is a scientific method to calculate the value of π.

他创造的割圆术已含有现代极限的思想，为计算圆周率提供了科学的方法。

Under the situation of even distribution of fitting nodes,a mathematic model is established by means of the relation between the number of fitting nodes and the limit error of measurement.

建立了采样点均匀分布情况下，圆度误差测量采样点数量与测量极限误差之间的定量关系数学模型。

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

Function graphing and analyzing: 2D, 2.5D functiongraphs and animations, extrema, root, tangent, limit,derivative, integral, inverse; sequence of number: arithmetic progression, geometric progression; analytic geometry: vector, line, circle, ellipse,hyperbola and parabola; solid geometry: spatial line, prism, pyramid, cylinder, cone, dado and sphere; Ability to save graph as data file or bmp file; Ability to save animation as AVI file; Ability to move, zoom in, zoom out and rotate the scene.

函数图表和分析：2D， 2.5D 函数图表和动画，极值，根，正切，极限，导数；序列号：等差数列，等比级数；解析几何：向量，矢量，直线，圆，椭圆，双曲线和抛物线；立体几何：空间线，棱柱，三角锥，圆柱，圆锥体，梯形台和球体；保存图形为数据文件或者图像文件的功能；保存动画为 AVI 文件的功能；移动，缩小，放大和旋转场景的功能。

In this paper,the mechanism of circle existing in nature is discussed,the circle contribution to mathematics is analyzed,a design of limit circle model for sustainable development for economics and society is put forward.

探讨了自然界圆形存在的机理，分析了圆对数学发展的贡献，提出了建立经济与社会可持续发展极限环模型的设想。

Circle ; natural attribute ; variation ; limit circle ; sustainable development ; square ; harmoniousness ; coexist

圆； 自然属性；变分；极限环；可持续发展；方；和谐；共处

Sun milk / cream The proper amount of face is the size of a bean, about 3-4cm round Scrub 1cm diameter circle is the limit, and sensitive skin should be halved.

脸部的正确用量是1粒蚕豆大小，约3-4cm的圆直径1cm的圆就是极限了，敏感肌肤应该减半。

Keywords: ARCs;Circular cavities;SRS;Raman modes of weak gain;Limit of detection of trace elements

中文关键词：非圆对称及圆对称微型谐振腔；受激拉曼散射；弱增益拉曼模式；痕量元素分析极限

There are two causes leading fractures of the endodontic instruments. Firstly as the value of the toque inc1ases beyond the limited toque, the instrument will twist with no increase in toque and will fracture soon. The value of limited toque is proportional to 3 squares of the file radius.

根管器械断裂的原因主要有2个：一是扭转超过极限扭距，器械顺着扭转的方向发生塑性扭转直至断裂，圆杆的极限扭距与其半径的3次方成正比；二是器械在循环载荷下发生疲劳损伤，最后突然断裂。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。