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summation formula的中文,翻译,解释,例句

summation formula

summation formula的基本解释
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求和公式

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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。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式,其中包含一些著名的公式,如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

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。

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

summation formula:求和公式

summation 求和法; 总和 | summation formula 求和公式 | superimposing 迭合

summation formula:总和公式

summation convention 爱因斯坦求和约定 | summation formula 总和公式 | summation limit 求和极限

summation formula:总和公式;求和公式

求和检验 summation check | 总和公式;求和公式 summation formula | 级数求和[法] summation of series

summation formula:求和公式,总和公式

summation 求和(法),总和 | summation formula 求和公式,总和公式 | superimposing 叠和,叠合

poisson summation formula:泊松求和公式

poisson summation 泊松求积 | poisson summation formula 泊松求和公式 | polar 极的

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