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Based on force characters of the model, authors put forward the mathematical expression of approximate deformation curves and compared calculation curves with measured curves.

基于模型的受力特点，提出了近似变形曲线的数学表达式，并将计算曲线与试验观测曲线进行了比较。

The coexistence curves and light scattering data for a critical solution of benzonitrile + octane have been reported. The critical exponents relating to the difference in the density variables between two coexisting phasesβ, the osmotic compressibilityγ, and the correlation length v have been deduced and the values were consistent with the 3D-Ising value in the range close to the critical point. The experimental results of the coexistence curves have also been analyzed to examine the Wegner correction terms and the behavior of the diameter of the coexistence curves.

用折射率法和不同角度的光散射法测量了苯甲腈+正辛烷二元体系在临界温度附近的液-液共存曲线和一相区不同温度下的渗透压缩系数及关联长度，得到与共存曲线相关的临界指数β，与渗透压缩系数相关的的临界指数γ和与关联长度相关的的临界指数γ，发现在近临界点体系符合3D-Ising模型，讨论了共存曲线直径和Wagner校正项。

Discusses algebraically and geometrically the properties of the ruled surfaces in the Euclidean three-space, especially, the principal normal surfaces on which there are some special curves, such as Mannheim curves, Bertrand curves and general helices.

在三维欧氏空间中，作为特殊曲线，Mannheim曲线、Bertrand曲线以及一般螺线具有良好的几何和代数性质。讨论了三维欧氏空间中特殊曲线的主法线曲面。

We present k -Degree T-Bezier basis function and reparametrize it on the interval [0,1],representation of ellipse and cardioid and G~1 condition of T-Bezier curves based on the analysisof T-Bezier basis function and terminal properties. The results have definite geometric meanings that are useful for surface modeling.(3) We presents G~1 of C-B-spline curves and C-Bezier curves.

3给出了C-曲线间的G~1拼接条件，利用C-Bézier曲线能够精确表示半圆弧和半椭圆弧的性质，在实际应用过程中需要精确表示半圆弧和半椭圆弧的地方利用C-Bézier曲线来代替C-B样条曲线，从而较好的解决了在C-B样条造型系统中无法精确表示圆弧的问题。

The segment arrangement on circular curves has proven theoretical support; the segment arrangement on transition curves, however, has no theoretical support and is usually executed by means of VMT systems equipped on shield machines. On basis of the relevant survey theories and the actual conditions of the turning rings, the author probes into the segment arrangement on transition curves in the paper.

对于圆曲线的管片排版已有了相对较为成熟的理论，而缓和曲线上的管片排版以往通常是根据盾构机VMT来选择，没有成型的理论支持，为此，结合测量理论和弯环管片的实际，探索出在缓和曲线上准确选择弯环管片理论排版的方法。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

This method is an improvement of existing methods to construct nearly order elliptic curves using complex multiplication. To get elliptic curves with nearly prime orders, the time complexity of this method is O , but to get elliptic curves with prime orders, the time complexity arises to O .

该算法是现有利用复乘构造近乎素数阶椭圆曲线方法的改进，利用该算法构造近乎素数阶椭圆曲线的时间复杂性为O，同时，该算法可用于构造素数阶椭圆曲线，但时间复杂性上升为O。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

The research results are highly reproducible owing to the repeatable micro-model technique.(2) Quantifying the Kr-S-P curves in two-phase flow. The validity and adaptability of multi-phase curves are verified using micro-model testing bed tailored to adequate scale of pores. Results obtained from the P-S micro-model tests generally agree with the threshold values of displacement mechanism offered by researchers using geometric shapes. The hysteresis of .experimental Kr-S curves of numerous two-phase flows are depicted in terms of connectivity and humidification. The P-S and Kr-S curves of two-phase flow are well-derived in conjunction with micro-model test results and empirical van Genuchten model. For the curve expressing the relation between saturation and capillary pressure, experimental results of water-air flow system corresponds to the theoretical data.

2二相流体对微模型实验之Kr-S-P关系：包括以孔颈尺寸比例组成微模型板实验平台去证实多相流流动主要特性曲线正确性与适用性；验证水和空气二相流之P-S微模型实验，与前人以几何形状所推估出来的置换机制门槛值大致吻合；以连通性及润湿性等解释多组二相流体对Kr-S曲线实验之迟滞现象；以微模型实验结果配合van Genuchten特性曲线经验式互推估二相流体对之P-S与Kr-S 曲线，推估结果良好；以比例原则推估多组二相流体於毛细压力-饱和度曲线的结果，显示在水和空气二相流体对为参考流体对时，推估其他组流体对吻合度最佳。

Finally, based on the theory of Timoshenko beam, a beam model of this crankshaft is built, which is compared with solid model. The results indicate that this beam model can meet the needs of calculation precision and calculation efficiency. With this beam model, the condition in which real loads are put on the crankshaft is simulated. The displacement curves、velocity curves、acceleration curves of the main journals and the pulley of this crankshaft and torsion vibration curve of the pulley are then gained. With these curves, the dynamic characteristic of the crankshaft is analyzed. The conclusion indicates that this crankshaft has good dynamic characteristic.

最后利用Timoshenko梁理论建立了曲轴的梁单元模型，将此梁单元模型与体单元模型进行了比较，结果表明梁单元模型能够满足精确度和计算效率的要求；利用该梁单元模型，模拟了实际条件下的载荷作用时曲轴的响应，得到了曲轴各主轴颈和皮带轮端的位移、速度、加速度曲线以及皮带轮端的扭转振动曲线，分析了曲轴的动态特性，结论表明该型曲轴具有良好的动态特性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。