计算法则

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

A mechanical calculation method, which was used to analyze the deformation of axial symmetry in plastic process , is put forward in this paper.

针对塑性加工过程中的轴对称变形问题，提出了一种力学计算方法，论证了圆环坐标系的坐标变换法则和主要力学方程，然后将理论计算值与实验条件下的实测值进行对比。

The formulas for calculating the bifurcation ratios and the way to determine the location of bifurcation point were presented.

进行血液动力学模拟和血液传热计算需要先建立血管网络，为此，借鉴强制结构优化方法，提出了基于分支法则、Poiseuille＇s law及质量守恒原则，直接在模拟区域上生成动脉血管树的新方法及相应的半径比计算公式和分支点确定步骤。

With the aids of the angular momentum coupling theory, the diagonal sum rule and the irreducible tensor theory, a formulism for calculating the matrix elements of Boron-like atoms' non-relativistic Hamilton between the Racah wave functions have been derived. Based on this approach, the non-relativistic energies of Boron-like atoms in the ground and the first excited states have been obtained.

本论文借助角动量耦合理论、对角和法则和不可约张量理论，导出了类硼离子基态和第一激发态非相对论性哈密顿在拉卡基函数之间的矩阵元的表达式，给出了计算类硼离子基态和第一激发态非相对论性能量的方法，并应用此法计算了类硼离子基态和第一激发态非相对论性能量。

Integral of one variable functions, improper integral and its convergence properties.

本课程的主要内容包括：1 各种极限运算，其中包括数列极限、函数极限以及上、下极限；2 一元函数的微分学，包括微分和导数的运算法则、微分中值定理及其应用等；3 一元函数的积分和广义积分及其收敛性；4 级数及其收敛性，包括数值级数的收敛性和函数项级数的各种运算和性质；5 多元函数的微分学及其应用，其中很多方面与一元函数的微分学近似，需要注意它们之间的区别；6 多元函数的积分学，包括多重积分的性质与计算，多重积分的的应用等；7 曲线、曲面积分及其应用；8 含参变量积分的计算与性质；9 Fourier 级数及其应用，等等。

Firstly, the article expatiates the concept of fuzzy reliability and the relation between random and fuzzy. It presents a list of random-finite element formula that is suitable for the reliability analysis for mechanical rigid frame system. Secondly, it presents two arrangements' reliability analysis methods that fit for component and fabric system. Finally, according to the characteristic of engineering mechanical, the article first brings forward half random-half fuzzy"stress-intensity intermeddle model"for mechanical intensity analysis, and according to Gerber equation for weariness intensity calculation, the article presents fuzzy number's calculating principle and the fuzzy reliability analysis method for engineering structure weariness intensity.

首先阐述了模糊可靠性概念、随机性与模糊性的关系；在导出摄动随机有限元法随机变量的变分原理、随机有限元控制方程和递归方程组基础上，给出了适合于工程机械刚架系统可靠性分析的随机有限元列式；给出了构件和结构体系两个层次的可靠性分析方法；根据工程机械的特点，首次提出机械强度分析的半随机半模糊"应力-强度干涉模型"，并依据疲劳强度计算的Gerber方程，给出了模糊强度的模糊数运算法则及工程结构疲劳强度模糊可靠性分析计算方法，该方法具有简便实用的特点和普遍意义。

This chapter expresses interzone as fuzzy value, and designs calculations using fuzzy calculation rules. It′s convenient to calculate the hard points.

本章按照一般模糊数表述方式去表示区间数，依据一般模糊数的运算法则去设计计算，给硬点计算带来了很大方便。

But what we're seeing is that many of these challenges we face in software – connecting machines together, having parallel algorithms that allow many compute systems to work on a problem and combine their results together – these problems are very similar to the problems that exist in high-end supercomputing.

但是我们正在看见什么是多数的这些挑战我们在软件–一起连接机器中面对，让允许多数的平行运算法则计算系统处理一个问题而且一起联合他们的结果–这些问题对在高结束高速计算中存在的问题非常相似。

The results of numerical analysis show that the elastic modular and the poisson ratio have no effect on two-dimensional bearing capacity, but can affect the ultimate bearing capacity of three-dimensional foundations and control the convergence and precision of finite element calculation; the earth pressure coefficient controls the geostatic stress of foundation, sequentially affects the ultimate bearing capacity of foundations and the convergence of numerical calculation. When calculating the ultimate bearing capacity of undrained saturated foundation, the complete formulation exists shear locking, and reduce formulation exists hourglassing, so the hybrid formulation is suitable to imitate the geomaterial. When the soil obeys nonrelevent flow rule, the yielding function is different from potential function, and the elastic-plastic matrix of soil is asymmetric, so the unsymmetry numerical solver and appropriate finite element mesh is required.

研究结果表明，土体弹性模量和泊松比对二维基础极限承载力没有影响，但是影响着三维矩形基础的极限承载力，控制着ABAQUS数值算法的计算精度与收敛速度；地基土压力系数控制着地基土体中的地应力平衡，从而影响着二维条形基础和三维矩形基础的极限承载力和地基破坏包络面；对于不排水饱和软黏土地基，常规的完全积分单元会造成剪力自锁现象，而减缩积分单元则存在过于柔化的现象，故采用杂交单元来模拟较合适；当土体服从非关联流动法则时，屈服函数与塑性势函数之间存在差异，从而导致土体弹塑性矩阵呈现非对称性，在有限元计算中必须采用非对称数值解法，并且合理地划分单元才能对极限承载力进行准确求解。

This article has selected three methods of weight calculation: single item index method of weight; synthesis index method of weight; entropy method of weight After the expatiation of theories and means, we analyzed example by using the fuzzy comprehensive evaluation method baaed on these three kinds of methods of weight calculation, and then came to the conclusion through contrast: the first method is very sensitive to superscale; the other two methods, which consider more factors' influence, can generally reflect the real status of water quality, and the results are consistent and relatively better.

现选取了单项评价指标权重法、综合权重法以及熵权法三种不同的权重计算法，分别详述了其计算原理和方法，并在基于这三种权重计算法的基础上采用模糊综合评判法对实例进行分析，最终通过对比得出结论：基于单项评价指标权重法的模糊综合评判法对单个超标因子比较敏感；基于综合权重法和熵权法的模糊综合评判法则综合考虑了各个指标因子对评价结果的影响，能够较全面的反映水质的实际情况，评价结果几乎一致，且相对较好。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。