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Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次, 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数,基于插值多项式拟合,提出了高效计算密度函数的三步方法。

By use of the series representation of the Bessel function of the first kind and zero order, the approximate expression of the wave structure function under all conditions of atmospheric turbulence is derived.

由第一类零阶贝塞尔函数的级数展开推导出波结构函数在任意湍流条件下的近似表达式。

A periodic oscillation analytic solution for the system at bifurcation point was obtained by using the method of series.

利用级数法求出了系统在分歧点处的时间周期振荡解的解析表达式。

Theorem 1 A series of nonnegative terms converges if and only if it's partial sums are bounded above.

定理1 正项级数收敛的充分必要条件是:它的部分和数列有上界。

The items of shear modulus and bulk modulus which are not instantaneous are input when define the viscous items.

定义粘性项时需输入剪切模量和体积模量的PRONY级数表达式的非瞬时项。

We observed a first-order reaction for Cr under the conditions that the carboxylate groups are in excess.

在羧基浓度过量的情况下,交联反应对Cr浓度的反应级数是1。

Also introduced 3 kinds of methods to serve as a frequency domain data to change the theoretical foundation that is time domain data at the same time, namely law of Fourier progression law, fast Fourier commutation and Chirp-z commutation law, made corresponding assessment to these 3 kinds of methods.

同时也介绍了3种方法作为把频域数据转换为时域数据的理论基础,即傅里叶级数法、快速傅里叶变换法和Chirp-z变换法,并对这3种方法作了相应的评价。

To compare the image quality of the three sequences in two groups by One-Way ANOVA and T Test. The qualitative assessment standards include clarity, artifacts, signal uniformity, the conspicuity of enhanced vein and the observable grade of intrahepatic venous branchs. The quantitative assessment standards include SNR and CNR of intrahepatic portal vein and hepatic veins. Furthermore, the anatomy and variations of the intrahepatic portal vein and hepatic veins are statistical analysed.

通过方差分析和T检验分别对A、B组三个序列的图像质量进行比较,评定标准包括清晰度、伪影、信号均匀性、静脉强化程度及肝内静脉分支显示级数等定性指标和肝内门静脉、肝静脉的SNR(Signal-Noise Ratio,信噪比)及CNR(Contrast-Noise Ratio,对比度噪声比)等定量指标。

In this paper, find Euler's formula using double integral , power series convergence and uniform convergence in the convergence region.

本文利用二重积分公式,幂级数在收敛区间内的收敛性质、一致收敛性质及可逐项积分的性质来证明Euler公式

The MHD equilibrium solutions of a toroidal plasma with non-circular cross-section and linear current distribution are written in terms of a fast convergent series.

用一个收敛很快的级数构造了非圆截面、线性电流分布环形等离子体的磁流体平衡解。

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