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If the complex or irregular contour parts is machined in the CNC machine only with straight lines, arcs and other simple analytic curve interpolation function, it need to adopt off-line interpolation method.

采用只具有直线、圆弧等简单解析曲线插补功能的CNC机床加工复杂或不规则的零件轮廓，需要采用离线插补的方法。

Golden Section in mathematics is relative to many architectures, solid geometry acknowledgements are often used in architectural design and construction, and the calculations in space analytic geometry are often used irregular construction.

无可厚非的数学在这片领域上占有密不可分的关系。数学中的黄金分割与许多建筑有关，建筑设计与施工中常用到的立体几何的知识，不规则形状的施工建筑中，还常常需要空间解析几何的计算。

The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是：利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域，从而避免了纯数值技术对复杂边界的离散化误差，降低了后期数值计算的算法复杂度，并提高了计算效率。

At greatest eclipse the Sun and Moon subtended virtually the same angular diameter, so the Moon's irregular profile produced in a beaded annularity not unlike the solar eclipse of 1986 Oct 03 (Espenak 1987). Beginning with the eclipse of 1630 Dec 04, the following five events were true hybrids with increasing durations of totality.

一次最壮观的日食实际上太阳和月球看上去有着相同的直径，因此月球不规则表面产生珍珠状轮廓，就像1986年十月3日的日食。1630年开始的日食，及其之后五次是真实的混频日食，其总的持续时间也增加了。

Irregular masses of white tumor are seen over the surface of this uterus that has been opened anteriorly .

在打开的子宫腔和下方的宫颈处表面可见大量的不规则的灰白色肿物。

And the multiple apophysis showed irregular shape.

并有多个突起呈不规则形状。

Irregular shape with more apophysis.

呈不规则状、有较多突起。

As we sipped the apple brandy and talked, I realized that all the years of studying French vocabulary and irregular verbs had prepared me for this moment.

我们边啜饮着苹果白兰地，边聊天，我意识到多年所学的法语词汇和不规则动词此时此刻终于派上用场了。

The approximate calculation of integrals has a wide range of applications in many practical engineering, in fact a big problem of integrable system is the issue of high-dimensional points in the irregular region.

积分的近似计算在许多实际工程的应用十分广泛，可积系统的一大类问题事实上就是不规则区域上高维积分问题。

A plant of the genus Aquilegia having irregular showy spurred flowers; north temperate regions especially mountains.

耧斗菜属的一种长有不规则花距鲜艳花朵的植物；分布于北温带特别是高山地区。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。