分支

Fractal theory is developed in recent years.

分形理论是近几年发展起来的一个数学分支。

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

We also measured the dependence of fragmental ratio of each ions on laser intensity and laser power index of total ions.

实验还测得了各产物离子信号分支比对激光强度的依赖性和总离子信号的光强指数。

A member of a branch of the Franciscan order that permits the accumulation and possession of common property .

圣方济会会员天主教方济会的一个分支即圣方济会的成员，该会允许积累及拥有共同财产

Free semigroup is a very important branch of the semigroup.

自由半群是半群的一个很重要的分支。

Today, the Knights Templar is the name of a branch of Freemasonry.

如今，圣殿骑士已经成为共济会的一个分支的名字。

Result:The anatomic correlating measurement,length:from the branches of facical nerve (to frontalis and orbicular muscle of eye) to Zygomatic arch marginal,paropia;Length :from facial nerve marginal mandibular branches to marginal mandibular.

结果：测量得到面神经颞支及其分支额肌支和眼轮匝肌支与颧弓下缘及眼外眦角的长度；面神经下颌缘支与下颌缘距离值。

Regarding iterated processes as objective function,parameters of algebra iterated system as design variables,and boundary condition of iterated variables as constrains,a new optimum method was proposed,which was used to calculate bifurcation of Logistic mapping.

以迭代过程关系构成目标函数，参数为设计变量，迭代变量的边界为约束，建立关于分支值计算的新方法含约束条件的最优化程序算法。

Using the theories of probability, algebra, logical function in cryptology and spectral theory comprehensively, the dissertation investigates the properties and constructions of orthomorphic permutations, omni-direction permutations, quick trickle permutations and generalized orthomorphic permutations.

分组密码是现代密码学中一个重要的研究分支，而置换理论在分组密码中占有重要的地位，任何没有信息扩张的密码体制都可以看作是置换的结果，如数据加密标准DES可以看作是明文在密钥控制下的置换，公钥密码体制RSA可以看作是一种多项式置换，因此，研究置换的有关性质和构造具有重要的理论意义和应用价值。

At present, nonlinear functional analysis has been one of the most important branch of learning in modern mathematics.

目前，非线性泛函分析已经成为现代数学中的一个重要分支。

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。