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Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

The complier will deduce it from the type of the second argument.

编译器会从第二个参数的类型推导出来的。

If a subject who knows only P cannot deduce that Q (as the knowledge argument suggests), or if one can rationally conceive of P without Q (as the conceivability argument suggests), then it seems that P does not imply Q.

如果一个主体仅仅知道P，不能推理得到Q，或如果一个人可合理设想没有Q的P，那么似乎P并不蕴涵Q。

Unified expression for the iterative of centers is described as to deduce the conditional probability expression of the centers and data weight functions for FKHM. Finally, the partition similitude is used to evaluate the result of clustering.

在中心迭代聚类算法的统一框架的基础上，推导出FKHM算法聚类中心的条件概率表达式以及在迭代过程中的数据点加权函数表达式。

So the conformal transformation model for the image rectification is taken as a beginning to deduce the relation between the accuracy of an arbitrary point and the accuracy of control points, besides, according to such relation, the inverse distance power method is used to give the spatial interpolation for the image rectification accuracy, which also achieved the interpolation value in x or y directions.

并以相似变换作为影像纠正的基本模型，推导了纠正后任意点精度与控制点精度的关系，基於此选择采用空间插值方法，插值影像纠正后任意点不同方向上的点位的精度。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

Because of inappropriate operation between oncoming straight and left-turn vehicles of signalized intersections of urban areas in Taiwan the department of traffic ever offered corrigible opinions involve in right of way, center of intersections adjudging hard and indirectly encouraged to accelerate left-turn vehicles. But all still lack quantification analysis. Therefore, this problem is worth studying.This study will aim at safe passage of oncoming straight and left-turn vehicles for at-grade signalized intersections. So, this study will be based on row's theory, theory of traffic conflicts, and take many factors into consideration, such as the width of the intersections, types of the intersections, center of the intersections, the size of the vehicles, the location of the vehicles, the radius of turn, paths of operation, the speed of the vehicles, the types of collisions, the angle of road, and also deduce formulas of coordinate of paths. The main method used in this research is the simulation of different situations. By the method, the analytic model of safe passage of oncoming straight and left-turn vehicles for at-grade signalized intersections will be established, and this study will also subsume critical speed of conflict and expected number of times of safe passage. Finally involved rules of safe passage will be proffered.

鉴於台湾都市地区路口对向直行左转车辆常遭受对向车辆不当驾驶行为干扰，因而道路交通主管机关曾针对路口对向直行左转相关道路交通法规可能产生之对向直行左转路权判断不易、路口中心处不易区分、间接鼓励路口转弯车加速左转等问题提出检讨之修正意见，唯整体考量仍缺少〝量化〞分析，系一值得研究之课题，因此，本研究将针对号志化平面路口对向直行左转车辆安全通行问题於法规层面上之特殊性，以交通冲突理论、路权理论为基础，并考量路口宽度、路口型式、路口中心处、车辆尺寸、转弯半径、运行轨迹、行驶速率、行车位置、最终碰撞型态、道路交角等因素，先行推导车辆行驶轨迹座标公式，再利用情境模拟分析法，进行号志化平面路口对向直行左转车辆安全通行分析，分析过程中则纳入冲突临界速率与安全通行期望次数理念，并根据路口对向左转车辆安全通行轨迹、速率集中分布范围之分析结果及相关理论，研拟号志化路口对向左转车辆安全通行轨迹、速率，及对向直行左转车辆路权判断原则，以供驾驶者路口直行左转安全通行之参考。

According to the Poisson equation of gravity-magnetic potential, we derive the relation of cosine transform spectrum between magnetic potential and magnetic field constituent and deduce the cosine transform spectrum formula of n degree derivatives using the cosine transform.

根据重磁位场的泊松公式，利用余弦变换给出磁位与磁场分量间的余弦变换谱关系，推导出磁异常n阶导数的余弦变换谱公式。

Continuous casting experiments results show that in the mold oscillation coupled with AMMF EMCC, imposition of AMMF duty part during mold oscillation positive strip can deduce the withdraw resistance and improve the billets surface.

论文的第三部分，基于以上的一些研究，提出了又一项新的技术——调幅磁场下无结晶器振动电磁连铸技术，以期用结晶器外调幅磁场电磁力的振动来取代庞大的机械振动系统。

In this paper, we deduce the decoherent factor in theory, and then we control decoherence by varying coupling coefficient.

本论文从理论上推导了退相干因子，随后，通过改变耦合系数，对退相干进行控制。

The physiology of the skin machine body for the sake of the environment in the maintenance stability, but eject a body metabolism creation of metabolism thing BE'grease', summer perspire many various skin disease light or good, autumn perspire little metabolism thing metabolism don't go out, various skin disease made, this be the skin machine body of various burning disease.

皮肤机体的生理为了维持内环境稳定，而排出身体代谢产生的代谢物是'油泥'，夏天出汗多各种皮肤病就轻或好了，秋天出汗少代谢物代谢不出去，各种皮肤病就犯了，这就是皮肤机体的各种炎症。

If I had anything tender in me, I shot it dead.

如果我有什么招标的话，我枪死亡。