查询词典 continued fraction

In the thesis, the fundamental formula of FFD method derives from the square root that is approximated by a continued fraction expansion in the one-way wave equation. Optimizations of the parameters of the finite-difference operator improve the validity of the method.

本论文用连分式近似单程波波动方程中的平方根导出FFD算法的基本公式，并对FFD算法中的有限差分算子进行了系数优化，进一步提高了计算的有效性。

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

The characters of linear complexity profile of periodic sequences are investigat- ed. The relation between the continued fraction expansion of rational function and its 1- inear complexity profile is established. The expression of linear complexity profite is gi-~~en and a condition estimating the randomness of a sequence is presented. By the linear complexity profile, the bound of sphere complexity is proposed. A formula to record the number of sequences with given linear complexity profile is presented.

研究了周期序列的线性复杂度曲线特性，在周期序列生成函数的连分式展开式与线性复杂度曲线之间建立联系，给出了周期序列线性复杂度曲线的表达式；给出了判断序列随机性好坏的一个条件；利用线性复杂度曲线特性给出周期序列球体复杂度的一个估计；给出了具有给定线性复杂度曲线的序列个数的一个计数公式。

Electromagnetic fields, caused by high frequency loop current on layer earth, are computed numerically by direct integral of Gauss quadrature, continued fraction expansion and Padé approximation using Matlab language.

在层状介质情况下，本文提出采用直接积分方法——高斯改进型积分、连分式展开法，对高频谐变回线电流产生的电磁场进行正演计算，采用MATLAB语言实现算法。

In this article, we keep on doing this work and stress on the continued fraction vector valued rational interpolation in complex number field.

第二章 叙述向量有理插值的定义和基本概念，向量有理插值已有的构造方式和计算方法及其拓广和应用。

With a constructed theorem, the author comes to a conclusion that this method, in a sense, equals to the algorithm of the continued fraction.

通过构造的一个定理对这个算法进行的分析讨论证实，闰周算法是一种很好的实数有理逼近算法，事实上，从某种意义上讲，它与连分数展开算法是等价的。

The golden ratio, expressed as a continued fraction.

金比率，表示为一个分式。

The definition of vector valued continued fraction interpolating splinesis at first introduced by means of generalized inverse of a vector.

本文首次引入了关于广义逆的向量有理插值样条的概念。这类插值样条具有Thiele型连分式的截断分式的表现形式。

In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理，并在此基础上对矩阵指数函数e的连分式算法进行改进，最后用数值例子来验证其可行性。

Under certain representation the operator continued fraction can be expressed by a matrix, and we also worked out the analytical solution.

利用反阻尼展开和算符连分方法，我们得到了迁移率的一般解；利用一定表象把算符连分表示为矩阵，同样也得到解析解。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。