abel summation method

abel summation method的基本解释

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阿贝耳求和法

与abel summation method相关的网络例句 [注：此内容来源于网络，仅供参考]

Via generalizing the Cauchy method we obtain a new method,called the modified Cauchy method.By means of this method we establish two bilateral _3ψ_3 and _4ψ_4 series summation formulae,two four-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3ψ_3-series,and two five-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3φ_3-series,which contain many known results as their special cases,such as non-terminating q-Saalschütz summation formula,Bilateral _6ψ_6 series summation formula of Bailey,non-terminating Watson transformation formula and some transformations of _3φ_2-series etc.

通过对Cauchy方法的推广，我们得到修正的Cauchy方法，采用这个方法分别得到两个双边的_3ψ_3和_4ψ_4基本超几何级数的求和公式、单边_3φ_~(2-)级数和双边_3ψ_(3~-)级数的两个四项求和变换公式和两个五项求和变换公式，它们包括许多已有的结果为特例，如非终止的q-Saalschütz求和公式、Bailey的very-well-poised双边级数_6ψ_6求和公式、非终止的Watson变换公式和一些关于单边_3φ_(2~-)级数的变换公式等。

Firstly,by the analysis of influencing factors of settlement of loessal foundation, results indicated that among the three settlement methods such as the layer-wise summation method based on chord modulus, the layer-wise summation method based on modulus of compressibility and the layer-wise summation method based on modulus of deformation and so on, the layer-wise summation method based on chord modulus is superior to the other two methods and is very close to the actual measurement settlement of building according to the grey incidence analysis on influencing factors of settlement.

本文采用灰色系统理论中的关联分析法对黄土地基变形进行了因素关联分析，并取得一些成果。通过分析影响黄土压缩变形的因素，对于沉降变形因素的关联分析，在对影响变形的诸因素进行分析的基础上，最终证明选择了四种因素作为确定弦线模量表依据的正确性，证明了据此建立的以弦线模量为基础的变形定量分析的表达式是可行的。从关联分析以及弦线模量法的简便、直观、便于推广应用的特点来看，弦线模量法计算沉降是值得大力推广的。

These results show that:(1) the results retrieved from the Abel integral and absolute TEC inversion are consistent on the whole at higher orbits altitude (~800 km), and in good agreement with those measured by ionosondes; the results retrieved from absolute TEC inversion are in better agreement with those obtained from ionosondes than that by the Abel integral inversion at lower orbits attitude (~500 km);(2) the maximal electron density N m from absolute TEC inversion is closer to N mF2 from ionosondes than that from Abel integral inversion, and the method of the former is more rigorous and effective than that of the latter;(3) absolute TEC is more sensitive to cycle slip than Abel integral, but for the two ways significant loss of inversion precision due to cycle slip always exists.

结果表明：（1）在较高轨道高度（约800 km），Abel积分与绝对TEC方法的反演结果基本一致，都与电离层测高仪反演结果符合良好；在较低轨道高度（约500 km），绝对TEC反演精度优于Abel积分反演精度；（2）绝对TEC反演的最大电子密度 N m较Abel积分法获得的结果更接近于电离层测高获得的峰值电子密度 N mF2，绝对TEC反演法更加严密和有效；（3）周跳对绝对TEC反演结果的影响较Abel积分反演结果的影响更为敏感，但无论哪种方法，周跳对反演精度都造成严重损失。

与abel summation method相关的网络解释 [注：此内容来源于网络，仅供参考]

abel summation method：阿贝耳求和法

abel inequality 阿贝耳不等式 | abel summation method 阿贝耳求和法 | abelian algebra 阿贝耳代数