recurring continued fraction

In the paper,I research into the relation between the recurring continued fraction and the quadratic irrational Firstly I prove any recurring continued faction is all the quadratic irrational,and then offer the general method changing the recurring continued fraction into the quadratic irrationa

研究循环连分数与二次无理数关系问题 ,首先证明了任何循环连分数皆为二次无理数 ,并给出化循环连分数为二次无理数的一般方

The model was used to simulate the fatigue cycle number distribution and its evoluational process of physically fatigue short cracks in steel 16Mn, and the results from the model sho.

该模型对裂纹扩展的循环数分布以及分布的演化过程的模拟，表明了与实验结果良好的吻合程度，从而为物理短裂纹扩展的概率分析及可靠性评价提供了手段。

In this paper, a kind of accelerating convergence factors are obtained for limit periodic continued fraction.

本文获得了一类极限循环连分式的加速收敛因子，证明了它们具有良好的加速收敛性质。

The composite sequence transformation is used for approximate sequence of limit periodic continued fraction.

本文对极限循环连分式Ｋ（ａｎ／１）的逼近序列引入合成序列变换，选择适当的辅助序列得到Ｇ－Ｂ变换；就Ｇ－Ｂ变换和常数因子ｘ１对极限循环连分式的加速收敛进行了比较，并给出了数值实例。