查询词典 continued fraction

The paper first points out that the continued fraction analysis method is not the original idea of the refuted paper "The Attack on the REESSE1 Public Key Algorithms".

文章首先指出连分式分析方法并非"对REESSE1公钥算法的攻击"一文的原创思想。

The continued fraction approximation is developed in reliability analysis for slope stability, the features of this method are rapid speed of calculation, simple and direct, high precision and effectively combin ing method of fixed value with probabilistic method on stability analysis for slope.

在斜坡的可靠性分析中，引入了函数连分式渐近法，其特点是计算速度快、简捷、精度高，有效地将斜坡稳定性评价的定值方法和概率方法有机地相结合。

For this method,the solution of a nonlinear monotone function,which is very common in electromagnetic soundings,is obtained via continued fraction iteration technique.

该方法利用连分式迭代求解非线性方程技术，直接对均匀半空间电偶源瞬变电磁法观测的垂直磁场与电阻率的非线性方程直接求解。

By giving the example, explains that theorem 4 in the refuted paper is not the necessary condition of the continued fraction convergences, by discussing the indeterminacy of the lever function and citing the counterexamples, expounds that the theorem 4 is not sufficient condition of the parameters W and W -1 neutralizing each other, and so shows algorithm 1 and 2 in the refuted paper to be incorrect.

通过举例说明了"攻文"定理4不是连分式收敛项的必要条件，并通过对杠杆函数不确定性的讨论和反例的举证说明了"攻文"定理4不是W与W –1相互抵消的充分条件，从而证明了"攻文"算法1和2及其衍生方法是错误的。

According to the disparate color area differed by the color subsection,the Sinc function can be approximated by the Salzer continued fraction and the extended Newton interpolation polynomial respectively.

由于采用颜色分段的处理方法，根据不同类型的颜色区域，分别采用Salzer连分式和扩展的Newton多项式逼近Sinc函数。

Using the continued fraction method other than the traditional recurrence methods to generate the Bessel function, we built an accurate code for calculating the Mie scattering.

2利用Mie散射模式计算气溶胶散射相函数的展开式系数，直接提供逐次散射计算中所需要的立体角积分网格上的相函数，避免为获得相函数而进行内插。

We treat the superconductivity electron as Brownian motion particle in period potential, by using matrix continued fraction method. We solve the corresponding Fokker-Planck equation of electron and obtain the Voltage-Current Characteristics of Josephson Junctions with thermal fluctuations.

我们将超导电子视作在其位相形成的周期势场中作布朗运动，并利用矩阵连分法求解相应的Fokker--Planck方程，得到Josephson结在热涨落存在时的Ⅰ-Ⅴ特性曲线，计算结果与实验相符合。

In this thesis, a semi-classical model of the force on an atom is used to describe the motion of a two-level atom interacting with a standing wave laser field. The velocity dependent force and momentum diffusion are derived through optical Bloch equations by using the matrix form of the continued fraction technique. By investigating the dynamic properties of atoms in laser field, we can control and manipulate the mechanical motion of an atom.

本文利用半经典理论，从二能级原子在激光驻波场中所满足的运动方程出发，推导出密度矩阵元所满足的递推关系，利用矩阵连分数方法求解出密度矩阵元，从而求出依赖于原子运动速度的光压力与动量扩散系数，通过讨论原子在激光场中的动力学行为，为原子在激光场中被囚禁、形成原子列阵以及可控制的量子态，从而为量子信息处理提供理论基础。

Luoxia Hong arithmetic is 600 years earlier than the similar method put forward by the Indian mathematics and is 1600 years earlier than the theory of continued fraction put forward by the Italian mathematics.

落下闳算法比采用类似方法的印度数学家爱雅哈塔早600年，比提出连分数理论的意大利数学家朋柏里早1600年，它影响中国天文数学2000年。

The cubic interpolation polynomial is got firstly in the given sub-range of the hydrophone's sensitivity-frequency curve by using the Akima curve smoothed algorithm, and the maximum of the polynomial is calculated in the sub-range by using the one dimension extreme value continued fraction algorithm, finally the frequency of the hydrophone is got.

频率测试是在灵敏度详细测试的基础上，采用阿克玛曲线光滑算法求出检波器幅频特性曲线在给定子区间上的三次插值多项式，再利用一维极值连分式法求出该区间上多项式的极值，从而求出检波器的频率值。

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。