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The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. 由于石化能源价格高涨的冲击，如何制造更省油、更有效率的推进系统成为航空业的重要课题。
The Homlogical Dimensions of the Residue Rings of Power Series Rings 幂级数剩余类环的同调维数
formal power series ring 形式幂级数环
power series ring 幂级数环
convergent power series ring 收敛幂级数环
Cool!! Quite nice conclusions about some basic geometric and power series!! 酷！关于一些基本的几何与幂级数很漂亮的结论。
The process of replacing polynomials by formal power series is an example of a general device known as completion. 用形式幂级数来代替多项式的过程是被称之为完备化的这种一般手段的一个例子。
The MASS series ring switchgear is a new-model SF6-insulated medium-voltage ring switchgear developed by our company by taking advantage of advanced technologies from abroad. MASS系列环网开关柜是我公司吸收国外先进技术，而自行研发的SF6绝缘的新型中压环网柜。
Series solutions: power series solutions of differential equations, Frobenius method, special functions. 评量方法自行设计测验,作业／习题练习,课堂讨论,课程参与度(出席率)
The decimal equivalent of a binary number can be found by expanding it into a power series with a base of 2. 一个二进制数字可以通过扩大以2为基准的幂级数来等同于十进制。
Series solutions: power series solutions of ODEs, Frobenius method, special functions. 评量方法自行设计测验,作业／习题练习,课堂讨论,课程参与度(出席率)
To terminate a computational process in accordance with some rule,e.g.,to end the evaluation of a power series at a specified term. 根据某种规则终止一个计算过程，例如，对幂级数估值时，取到指定项就停止运算。
To terminate a computational process in accordance with some rule, e.g., to end the evaluation of a power series at a specified term. 根据某种规则终止一个计算过程，例如，对幂级数估值时，取到指定项就停止运算。
Based on the author's own teaching accumulation, this paper puts forward kinds of summations of power series and series of numbers through exmaples. 摘要结合自己的教学积累，通过实例，给出数项级数求和的多种途径。
In this paper, an extended order method (EOM) is derived for solving the nonlinear problem which can be expanded in a power series. 针对可展成幂级数形式的非线性特徵问题，提出了一种通过初始系统矩阵的扩阶来使原非线性问题线性化的扩阶方法。
In addition, it was studied that the Ore extensions and skew power series of generalized PP rings, weak PP rings, p. q-Baer rings and PS rings. 同时讨论了Ore扩张和斜幂级数的广义PP性、弱PP性、p.;q-Baer性以PS性。
On his way to 10 World Series rings and a place in the Hall of Fame, Yogi was thinking about nothing. 在他10届世界职业棒球大赛冠军戒指以及名人堂的路上，约吉什么也不思考。
The results are expressed as power series expansions of the magneticfield,which are valid for fields that are less than half the anisotropy field. 磁场小于各向异性场的一半时，得出两个解。
The king was shorn of his power by his nobles. 国王被手下的贵族们剥夺了权力。
In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established. 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。