以下为句子列表：
英文: According to the definition of matrix power series and the convergence property of the power series, using the type compare method, the thesis got and verified part convergence properties of the matrix power series.
中文: 摘要根据矩阵幂级数的定义和数学分析中幂级数的收敛性质，运用类比的推理法，得到并验证了矩阵幂级数的部分相应的收敛性质。
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英文: In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established.
中文: 摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。
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英文: Ordinary Differential Equation, First Order Differential Equations, 2nd Order Differential Equations, Power Series Solution of differential Equation, Laplace Transform, Fourier Series and Transform, Matrix, Eigen Value Problem, Partial Differential Equati
中文: 常微分方程式、一阶微分方程式、二阶微分方程式、微分方程式级数解、拉氏转换、复利叶级数与转换、矩阵、本徵值问题、偏微分程式。
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