计算的

The problem of the error of calculation formula calculating the variance of grouping data within distances in statistics was put forward,and the concrete forms of correcting formula were given by the theorem of addition and the variance of even distribution.

提出统计学中的组距分组资料方差和标准差计算公式误差问题，由方差的加法定理和均匀分布方差给出分组资料方差计算和标准差计算的修正公式具体形式，并就均匀分布数列和正态分布数列组内方差平均数进行了讨论

And, the associated momentum space wave functions are calculated by applying appropriate Fourier transformation.

计算结果与已有的实验实验值和其他文献的理论计算结果比较表明，本文计算的结果是准确的。

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

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。

In order to enhance the calculation"s efficiency, the enterprise need a system to solve this problem, and the system"s key aspect is a database which can converser those information effectively.

为了提高汽轮发电机性能计算效率，企业急需一个可以支持企业进行信息管理、分析计算的系统，系统的核心部分便是能完整保存这些信息及分析计算结果的数据库。

A deflator calculated by dividing, for each year of the period, the value of GDP in current market prices by the value of GDP in constant market prices, both in national currency.

该缩减指数的计算方法是用一定时期内各年度按现行市场价格计算的国内生产总值除以按不变价格计算的国内生产总值。

The secant modulus is used to calculate final settlement of high-stacked soil, compared with the result of e ~ p curve, the error is in the limit of tolerance.

同时将割线模量计算沉降的方法应用到高填方自身作用下的最终沉降计算中，通过与应用e～p曲线计算的结果进行比较，其误差在允许范围之内。

According to this difficulty,a kind of fast calculation method of satellite orbit-extract the orbit's control points is put forward,and perspective frustum is combined to judge the orbit's visibility.

根据北美防空防天司令部发布的预报[1]，目前在轨卫星和空间碎片的总数是12542，如若同时对这些空间目标进行轨道计算，计算的目标相当多，计算量势必会很大，仿真

Based on the analysis of the factors caused land subsidence, the internal mechanism and development process of land subsidence caused by two mainly factors of dewatering and underground mining have been studyed in this thesis. The random medium model and methods have been established to calculate the land subsidence and deformation caused by dewatering or underground minging and both of them. The prediction problem of land subsidence and deformation caused by single factor and many factors has been solved.

本文在分析引起地面沉降原因的基础上，针对引起地面沉降变形的主要因素——地下水疏降和固体矿物开采，分析、研究了其引起地面沉降变形的内在机理和发展过程，推导出地下水疏降和地下固体矿物开采引起的地面沉降变形计算的随机介质模型，给出了具体的计算方法和计算步骤，并将固体矿物开采和岩土体疏水等导致地表沉降视为相互独立的事件，解决了固体矿物开采和地下水疏降共同作用下的地面沉降变形的线性叠加计算问题。

The problem considered in this paper contains absorbing-emitting medium, absorption and emission of radiation not only exist on boundary of the system, but exist in the whole space fulled of medium, variation of temperature, pressure, density, compusure and property with coordinates must be considered in computation, so computation in this paper is based on three dimensional flow field.

本文所计算的问题包含吸收-发射性介质，能量的吸收和发射不仅发生在系统的边界上，而且还发生在充满介质的全部空间，在计算中要考虑介质中各点的温度、压力、浓度、成份以及物性在空间上的变化，因此本文的计算是根据三维流场计算的数据进行的。

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。