曲率

Shen prove a short time existence theorem for manifolds with umbilical boundary. He also derived the Simons' identity for the boundary under the Ricci flow. And as a corollary, Shen show that any three-manifolds with totally geodesic boundary which admits positive Ricci curvature can be deformed to a space form with totally geodesic

而带边流形上的Ricci流的研究始于Shen，在1996年，Shen在中考虑带边三维流形上的黎曼度量的Ricci形变，证明了如果初始三维流形的黎曼度量具有正Ricci曲率和全测地边界，则此三维黎曼流形上存在着常正曲率的黎曼度量。

Metholds 236 patients were performed penetrating keratoplasty, in which laser trephination technique was applied. Patients were assigned to four groups:(0) K0D, regular mire;(1) K60, moderately irregular mire;(3) severe irregular, immeasurable mire based on the keratometry value and mires measured with semi-quantitative Ophthalmometer (Type-H, 190071 Zeiss, Jena, Germany).

回顾分析了236例圆锥角膜使用激光环钻技术进行的穿透性角膜移植手术手术，使用角膜曲率计(Ophthalmometer， Type-H， 190071 Zeiss， Jena， Germany)对手术前后的角膜规则程度进行检测，并结合所测出的角膜曲率值和角膜映光图像分成4组：(0)规则组，K0D；(1)轻度不规则组，K0；(2)中度不规则组，K≥60；(3)重度不规则组，K值不能读出，共4组。

In fact, we can get the optimal tangents just by solving a system of linear equations with tridiagonal coefficient matrix. Then we can construct interpolating curves with continuous curvature locally just with end points, tangents and curvatures.

整条曲线可以通过构造插值端点、端切向以及端曲率的曲线得到；通过对型值点处的曲率进行低通滤波处理并对型值点进行相应调整，可以得到平面点列的一种自动光顺算法。

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

Most of previous segmentation approachs make use of the surface curvatures or the approximative polynomial coefficients which are very sensitive to noise, but the mathematical morphological operations are robust, so another main advantage of our scheme is its good noise immunity.

以前的大多数分割方法都使用表面的曲率或近似多项式的系数，表面的曲率或近似多项式的系数的计算对噪声很敏感，而数学形态学运算具有较好的抗噪声性，因此我们的方法的另外一个优点是它具有良好的抗噪声性能。

Experimental Research on FBG Sensor for Large Curvature Detection;2. For large curvature arch, the neutral axis does not pass through the centroidal line of the cross-section, so the moment of inertia is not consistent with the second moment of area.

大曲率拱中，截面形心轴与中性轴不重合，其截面抗弯惯性矩与不考虑曲率影响的截面面积二阶矩有一定的差别；当截面尺寸相对拱弧长来说较大时，此时拱为深拱，剪切变形的影响不能忽略。

SIA degree in phacoemulsification with 3.2mm clear corneal incision has no connection with incision positions. Corneal curvature at incision meridian will be released, but another meridian has no distinct effect. The SIA analyzed by Jaffe/Clayman vector method will provide an important reference for toric IOL implantation surgery.

3.2mm透明角膜切口SIA的度数与切口位置无明显关系，切口对所在子午线角膜曲率有松解作用，对与切口垂直子午线角膜曲率无明显影响，矢量公式法计算所得的SIA值在散光型人工晶状体植入术中提供了重要的参考价值。

A computing method is presented for studying the bending moment, axial force and curvity relationship at the section of prestressed concrete beam.

提出预应力砼截面弯矩－轴力－曲率关系的计算方法，并计算了不同预应力度下截面的弯矩－曲率关系。

The experimental data has proved that the method can be fit for the shaft with small curvity , especially in straightening the axis in auto′s gearbox.

提出预应力砼截面弯矩－轴力－曲率关系的计算方法，并计算了不同预应力度下截面的弯矩－曲率关系。

For loading along curved strain path,it is found that the delay anglenot only depends on the curvature of the path but also on the rate of the curvature re-spected to the path are length.Therefore,we can conclude that Lensky's hypothesisof local determinability for delay angle is not hold for this material.

对沿曲线应变路径加载的情形，实验发现，滞迟角的变化规律不仅与路径曲率有关，而且与曲率的变化率密切相关，表明Lensky的&局部确定性&假设不再成立。

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。