By choosing suitable parameters, several new and convergent series are obtained.
适当选取参数，得出了几个新的收敛级数。
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。
By algebraic dynamical method, the exact analytical solutions of the ordinary differential equations are obtained in terms of Taylor series with local convergent radius.
用代数动力学方法求得了用泰勒级数表示的局域收敛的常微分方程的精确解。
The research on that "Taylor series generally considers its convergent circle as the cut secant" is an important problem of analytic continuation.
“泰勒展开是否以收敛圆为割线”问题是解析开拓理论研究的重要课题，但对此国内外尚无全面细致地研究。
Within the restricted scope, the infinite power series is convergent and the formula is workable.
在规定的范围内该无穷级数收敛，并有计算公式成立。
An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.
一列连续与正弦、余弦函数相乘的无穷级数，若是趋向同一点时，可模拟一系列多种函数。
By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original equation are obtained.
讨论了一阶迭代微分方程解析解的存在性，通过构造一个辅助方程的幂级数解给出该方程的解析解。
By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original equation are obtained.
讨论了一阶迭代微分方程解析解的存在性，通过构造一个辅助方程的幂级数解给出该方程的解析解。
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