对于两侧直线补给边界水位和补给流量不同的情况,建立了无穷级数表达的非线性方程组;
The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary.
和传统的无穷级数求和的计算方法相比,本文所给出的方法更为概念清晰、计算简便。
Comparing with the familiar infinite serial method of summarization this method is more clear in physical concept and simple in calculation.
通过引入计数测度,将数学分析中的无穷级数和测度论中的抽象积分联系起来,并在此基础上对双重连加号中,连加号的次序可以颠倒这个性质给出了一个证明。
Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程,并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程,并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
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