特征曲线

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。

Based on the curve estimate of sap flow characteristic of Quercus acutissima using manifold curve model, the simulation curvilinear equation of environmental factors to sap flow were founded, but the availability of these equations differed each other.

基于对多种曲线模型对麻栎液流特征进行曲线估计，分别建立了各环境因子的模拟曲线方程，方程的有效性存在差异。

In the fluvial deposit environment, the quartz superficial characteristic is primarily by the inferior circle, the conchoidal breakage fracture and the submarine hit pit, revealing the transformation of current to the quartz; In lake-deposit environment, quartz sand superficial characteristic is by primarily abraded edges and parallel cleavage, the quartz maintained the primitive characteristic, indicating the quartz received few transformation of fluent, different quartz grain has their different curve character.

在河流沉积环境，石英砂的表面特征以次圆、贝壳状断口和水下撞击坑为主，显示了水流对石英砂颗粒表面的改造；在湖泊沉积环境中，石英砂的表面特征以多棱角和平行解理面为主，石英砂颗粒保持了原始的特征，表明了石英砂颗粒受到水流的改造比较少。不同沉积环境中石英砂颗粒表面结构特征都具有自己的曲线特征。

Studied present measuring methods" advantages and disadvantages, and presented the necessity and importance of researching propellant transient heat transfer.2.according to 130 and aeronautic 90 rocket projectiles" structure, analysed and acquired physical and mathematical models for propellant transient heat transfer, also designed propellant temperature field simulation units for test.3.acquired discrete transient heat balance equation and temperature calculation program, and gave contrasting curves between experimental temperature values and program calculating temperature values as well as maximum errors and average square root errors between them.4.by programs based on the first class boundary condition, worked out temperature distribution in propellant temperature field simulation units at different time, analysed temperature field distribution law and main elements affecting heat transfer, acquired propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.5.established transient heat transfer mathematical model and temperature calculation program for the third class boundary condition, drew contrasting curves between temperature experimental values and calculation values and gave maximum errors and average square root errors between them, got temperature distribution in the simulation unit at different time and main elements affecting heat conduction, figured out propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.

分析了现有测试方法的优缺点，提出了研究推进剂瞬态导热的必要性和重要性。 2。根据130和航90两种火箭弹的结构，分析得到了推进剂传热的物理模型和数学模型，设计了推进剂温度场模拟实验装置。 3。得到了离散形式的瞬态热平衡方程和温度场计算程序，给出了实验温度与程序计算温度值的对比曲线及其最大偏差与均方差。 4。利用程序求出了第一类边界条件下、不同时刻推进剂温度场模拟装置中的温度分布，分析了温度场的分布规律和影响传热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处的温度时间曲线并给出了两者之间的最大偏差与均方差。 5。建立了第三类边界条件下的瞬态导热数学模型和温度计算程序，求出了温度实测值与计算值的对比曲线并给出了两者之间的最大偏差与均方差，得到了不同时刻温度场模拟装置的温度分布与影响导热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处温度及两者之间的最大偏差与均方差，讨论并确定了能代表130和航90推进剂温度的特征点的位置。

By using complex analysis in representing parametric curves to avoid the complicated representation and fuzzy calculation, the cubic couple of Pythagorean hodograph is constructed, which satisfies C 1 Hermite interpolation conditions.

相应的两条 Bézier曲线表示及其控制顶点的计算简单方便。所得 4条插值曲线中，通常有 1条曲线具有很好的几何形状特征。结果可直接应用于各工业产品设计及加工领域中。

By projecting 3D models into 1D smooth principal curves, equally segmentation and sampling along the length of curve are implemented to extract shape feature vectors, then one can retrieve 3D model according to the matching result of shape feature vectors of 1D manifold.

本文将三维网格模型，投影为三维的光顺主曲线；通过对主曲线沿弧长方向的均匀分割采样，提取主曲线的空间位置和姿态等形状特征；最后通过形状描述向量的比较实现了对应的三维模型检索。

Through the correlation analysis of log curve, AC is reconstructed with the chosen SP and GR.Then seismic inversion is carried out.The result can well distinguish the sand from the mudstone.It also reflects the sand horizontal distribution and the vertical thickness, which can effectively guide the production.

通过测井曲线相关性分析，选择自然电位、自然伽马曲线重构声波曲线，然后用重构声波进行地震反演，反演结果很好地区分了砂泥岩、反映出砂体的横向展布特征和纵向厚度，有效地指导了生产工作。

While the experimental side force distribution over a slender body with a blunt ogive nose is basically consistent with the curve of the analogy predicted, and the characteristic points and half cycle of the experimental curve are basically constant with the roll angle changing 360°. But the local maximums in the curve are not the results as the analogy predicted, which is an important flow feature of 3-D slender body than that of 2-D cylinder.

而钝头拱形细长体在大迎角下的截面侧向力分布与脉冲起动横流比拟方法预测的侧向力曲线的形状是基本相同的，而且随着滚转角旋转360°，截面侧向力分布曲线的特征点和半周期基本保持不变，即它们都基本上不受滚转角变化的影响；但是截面侧向力分布曲线极值点形成的原因却是不同的，这是细长体绕流区别于二维圆柱绕流的一个重要特性。

Laboratory experiment of multi-pile composite foundation of steel pipe column and sand column ;2. A set of apparatus of foundation physical model was developed and utilized to conduct model tests of sand column composite foundation.

通过自行研发的试验装置，对砂桩群桩复合地基进行室内模型试验，得出砂桩复合地基的一些工作性状：砂桩复合地基的荷载沉降曲线特征、桩和土的应力特点、桩土应力比特点、荷载分担比曲线特征等。

A set of apparatus of foundation physical model was developed and utilized to conduct model tests of sand column composite foundation. A number of features of sand column composite foundation were obtained, including the characteristics of load-settlement curve, stress of the column, stress between columns. column-soil stress ratio, and load-sharing ratio of column and soil.

通过自行研发的试验装置，对砂桩群桩复合地基进行室内模型试验，得出砂桩复合地基的一些工作性状：砂桩复合地基的荷载沉降曲线特征、桩和土的应力特点、桩土应力比特点、荷载分担比曲线特征等。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。