查询词典 continued fraction

While calculating tensor Green's functions, the algorithm of secondary division is adopted to solve the singular problem. The Gaussian quadrature and continued fraction is adopted to calculate the integral with Bessel function. This method not only can ensure the right calculation of tensor Green's functions but also can get high precision.

求取张量格林函数积分时，采用二次剖分算法解决计算中奇异值问题，对于含有贝塞尔函数的积分项，利用结合连分式展开的高斯求积代替常规的快速汉克尔变换方法，确保了张量格林函数的正确计算并提高了计算精度。

At last a direct numerical integration method is applied to computing the integration, and in this process continued fraction expansion was used to speed up integral summation.

在此过程中通过连分式展开加快积分求和的收敛速度。

Performing the continued fraction expansion of the generating function corresponding to Al-Alaoui rule to obtain discrete approximation is better than the others.

研究表明，对分数阶控制系统进行离散化时，采用Al-Alaoui法和连续分数展开法相结合的方法可以得到较好的结果。

Six months after initiation of crossover treatment, left-ventricular ejection fraction continued to improve modestly in both groups.

在接受交叉治疗后的六个月后，左心室射出分数（left-ventricular ejection fraction）在两组中持续适度地进展。

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制，所以圣文南原理的合理成分体现为算子连分式的收敛性。

A precise background theory of computational mechanics is formed. Saint-Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model.

用泛函分析的双空间理论为计算力学构造了一个严密的背景理论，以此在链式模型上讨论圣文南原理，同时将传统的连分数扩展为算子连分式作为链式模型的本征关系式。

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

Thiele type continued fraction interpolation is used to interpolate pixels around damaged part of the regular texture aiming at repairing the texture based on the regular inpainting method. Bisection is used when whole information and details are needed in sampling. Thiele type continued fraction interpolation is not an ideal method in the case of irregular damaged region Newton-Thiele type contined fraction is put forword to solve this problem. Point window is also used in the process of sampling.

在通常的图像修复技术上，对于一些规则的破损纹理图案采用一元Thiele型连分式模型来进行修复，在采样选取上，考虑到图像的整体信息和细节特征采用了二分的方法来进行处理，对于具有不规则破损区域的纹理图案，采用一元的方法不能达到令人满意的效果，采用二元Newton-Thiele型混合有理插值连分式的有理插值的方法来对具有不规则破损部分周围的像素点进行插值并采用采样点窗的方法进行采样可以达到修补破损部分的目的。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

Several important matrix function such as e〓, log (1+A), cos (1+A) and A〓 are approximated via truncated matrix continued fractions, and the error bounds associated with the continued fraction approximants of these matrix function are given.

在第六章，我们研究了矩阵函数的数值计算，我们给出了几个比较重要的矩阵函数如e〓，log（1+A），cos与A〓的连分式逼近算法，并给出了各自的误差分析。

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。