查询词典 S curve

This algorithm firstly translates arbitrary parameter curves into the piecewise cubic-degree Bezier curves, then using the properties of Bezier curve we can get the tangent vector and the normal vector of every point on the approximation curve, and calculate the approximating offset curve.

此算法先将任意形式的参数曲线转化成分段三次Bézier曲线，利用Bézier曲线的性质容易得到逼近曲线的切向量和法向量，从而计算出其等距逼近曲线。

Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

In this paper,the author obtains some features of Bertrand curves such as that necessary and sufficient conditions for a Bertrand curve is curve,discusses the distance from a point of a Bertrand curve to the corresponding point of the mate of Γ,the angle of the two tangent lines and so on.

讨论了Bertrand曲线的特征，得出了诸如曲线是Bertrand曲线的充要条件，Bertrand曲线Γ上的点与其偶线上对应点的距离，以及两点切线交角等结论。

Deduction of the relationship between the boundary of buffer and Minkovski curve. A concept --- buffer curve --- is concluded from Minkovski curve and provide a way to unify the creation of all types of buffer on the same theoretical base.

12，导出缓冲区的边界和Minkovski曲线之间的关系，并从Minkovski曲线简化归纳出缓冲曲线的概念，将所有的缓冲区，包括单侧，双侧缓冲区的生成都统一建立在缓冲曲线的基础上。

The paper introduces the concept of curve following turnout branch line and some relevant regulations,discussing maintenance method of mini-typed curve on railway with coordinate method based on original curve following turnout branch line at Rolling Line No.

介绍道岔附带曲线概念及其有关规定，结合中3条原有附带曲线的特点，阐述用坐标法对铁路线路上小型曲线的维修方法。

The method amending atmosphere influence is introduced, which places large area gray body beside the target. After academic analysis and experiment research, it is found that the "black body demarcation curve" and "reference curve" intersect at the atmosphere temperature point, and the slope amending coefficient and offset amending coefficient could be calculated based this two curve. After corresponding amending on target gray, the infrared radiation characteristics could be calculated by rule and line.

介绍了通过放置在目标附近的大面源灰体修正环境影响的方法，经过理论分析及实验验证，发现"黑体标定曲线"和"参考曲线"相交于环境温度点，并且根据这两个曲线可计算出环境影响的斜率修正系数和偏置修正系数，对目标的灰度值进行相应的修正就可以准确地计算出目标的温度等红外辐射特性。

In group 2 the main curve improved from 69 degrees to 23 degrees, cranial curve from 27 degrees to 11 degrees, caudal curve from 34 degrees to 14 degrees, and kyphosis from 24 degrees to 9 degrees.

在2组病人中，主弯从69°改善至23°，头侧弯从27°改善至11°，尾侧弯从34°改善至14°，后凸角从24°改善至9°。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

In this paper we derive the. curve equation of tooth profile on the basis of its meshing principle and discuss the necessity and possibility of replacing the equidistant curve which in the circular section of lang arc external pendulum curve by circular arc.

本文从其啮合原理出发，导出齿廊曲线方程，论述了以圆弧替代长幅外摆线环形部分等距曲线的必要性和可能性，提出圆弧齿形替代要求，运用最优化方法，给出最优设计方案。

In order to study the popular curve shortening flow in the plane, Gage[3] has shown in 1983 the following inequality, if k is the signed curvature of a closed convex plane curve γ with length L and enclosing area A, then one gets Gage calls it an isoperimetric inequality in [3], but he does not show that the equality holds if and only if the curve γ is a circle, while as an isoperimetric-type inequality, one should prove this kind of result.

Gage称之为等周不等式，但他没有证明其中等号成立当且仅当，γ为圆周，而作为等周型的不等式是应该证明这种结果的，本文我们利用单位速率外法向量流，通过努力证明了这种结果，从而把Gage不等式加强成更加等周的形式。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。