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However, the absolute curve magnitude at skeletal maturity is more predictive of long-term curve behavior rather than curve progression of a defined magnitude over shorter periods of skeletal growth.

然而，骨骼成熟时的绝对曲度较骨骼成长期的短期曲度进展角度对侧突的长期特点更有预测意义。

In the experiment, moisture absorption curve from 5℃ to 40℃ were drawn, and then corresponding regression equation of each curve was obtained by curve fitting.

在试验中对烤石莼在5~40℃范围的等温吸湿变化规律进行了研究，将曲线通过计算机拟合获得相应的回归方程。

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式，基于近似几何误差和薄板能量极小化的隐式重构模型。

An exstensive research on the calculation formulas for the abutment cone slope on skewed bridges is conclucted.Calculation formulas of key parameters on slope curve are derived through analytic calculation of ellipse curve at slope bottom.The values of parameters are discussed and various forms of cone slope and curve at slope bottom are detailed.

以斜交桥梁桥台锥坡为锥坡的一般形式展开较深入的研究，通过对坡脚椭圆曲线的解析计算，推导得出坡脚曲线各控制参数的计算公式，并对其取值进行讨论，详细说明了锥坡和坡脚曲线的各种形式；进而推导了斜交锥坡的体积、护坡体积、表面积和基础体积的计算公式。

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 second section analyzes the restraint conditions of establishing zero-coupon bond yield curve in China. In order to analyze the constraint conditions of establishing zero-coupon bond yield curve, we should firstly study the current situation and problems of Chinese bond market because the data estimating zero-coupon bond yield curve mainly come from bond market which can't be separated from the analysis of the development history of bond market. So the main content of this section includes the development history of bond market, the present problems of Chinese bond market and the restraint conditions of establishing zero-coupon bond yield curve in China.

第二节分析中国零息票债券收益率曲线构造的约束条件，由于估计零息票债券收益率曲线所需要的数据主要来自债券市场，这样，要研究零息票债券收益率曲线构造的约束条件，首先必须研究中国债券市场的现状和问题，而这一切又离不开对中国债券市场发展历史的分析，因此本节的内容包括中国债券市场发展的历史沿革、中国债券市场目前存在的主要问题和中国零息票债券收益率曲线构造的约束条件三个部分。

This is not an ordinary box, which is used as a background picture of the dialog box, very pretty.

详细说明：这可不是一个一般的对话框，它是用图片作为背景的对话框，非常好看。

Conceal me what I am,and be my aid for such disguise as haply shall become the form of my intent.

遮掩我的身份，帮助我，我的面具将成为我的目的。