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- divergent infinite series 发散无穷级数
- Convergence and divergence of infinite series depend upon this concept. 无穷级数的收敛性与发散性与此概念有关。
- Definition The infinite series converges and has sum if the sequence of partial sums converges to ,that is .If diverges, then the series diverges. A divergent series has no sum. 定义如果级数的部分和数列有极限，即，则称无穷级数收敛，这时极限叫做这级数的和，并写成；如果没有极限，则称无穷级数发散。
- Many more criteria for the convergence of infinite series were developed by leading mathematicians. 许多第一流的数学家推导了无穷极数收敛的很多判别法则。
- To get rid of the other infinite series, we must set the arbitray constant that multiplies it equal to zero. 为去掉另一个无穷级数，必须使任意常数乘之后等于零。
- Around 1810 Fouriers, Gauss, and Bolzano began the exact handling of infinite series. 在1810年前后，Fonrier，Grauss和Bolzano开始确切地处理无穷函数。
- The time may be computed to any desired degree of precision by taking enough terms in the infinite series. 在无穷级数中，取足够多的项，周期的数值可计算到任意的精确度。
- He constructed one geometric model,in which some infinite series with Catalan numbers as coefficients were contained. 指出了明安图是世界上第一位卡塔兰数的发明人;他构建了一个几何模型;在这个几何模型中包含了用卡塔兰数作为系数的无穷级数.
- Here you recommend to the South about Lee Kum Kee’s “a very infinite” series. 这里向你推荐一下南方李锦记的“无限极”系列产品。
- However, if the principle is assumed, it is surely incongruous to postulate a first cause as a way of escaping from the coils of an infinite series. 然而，如果承认这一原则，那么，假设某种第一推动力以避开无限系列造成的麻烦肯定是不合理的。
- Multielement function calculus, infinite series, ordinary differential equation, partial derivatives, multiple integrals and so on. 本课程主要介绍多元函数微积分学，无穷极数，常微分方程，偏微分方程，多重积分等内容。
- It is found by contrast that the typical curves here approach the Laplace typical curves gradually as the number of terms in infinite series increases. 通过对比分析发现，随着级数项数的增大，根据解析解制作的样版曲线逐渐逼近拉普拉斯方法制作的样版曲线。
- The infinite series diverges, meaning that its sequence of partial sums does not tend towards any finite limit.Equivalently, one says that lacks a sum. 此无穷级数发散，即其部分和的序列不会趋近于任一有穷极限，可等价地认为不存在和。
- Definition The infinite series converges and has sum if the sequence of partial sums converges to ,that is .If diverges, then the series diverges. 定义如果级数的部分和数列有极限，即，则称无穷级数收敛，这时极限叫做这级数的和，并写成；
- By means of infinite series and Parseval equation,a method for calculating a class of generalized integral has been devised and a precise value of generalized integral derived. 运用无穷级数和 Parseval等式 ;给出了一类广义积分的计算方法 ;并导出了一个广义积分精确值 ;同时得出了几个常见正项级数的和 .
- On the other hand, the supposed inconceivability and absurdity of an infinite series of regressive causes will be admitted by no one who has competent familiarity with the modern mathematical analysis of infinity. 另一方面，任何一个熟悉现代数学就无限性所作分析的人都不会接受有神沦者的假设，即一个无限系列的递归成因是无法理解的、荒诞的。
- 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。
- This paper deals with the work of the 19th century mathematicians on the criteria for the convergence and divergence of the infinite series, which are seldom mentioned in our calculus textbooks. 摘要对19世纪上半叶欧洲数学家在正项级数敛散性判别方面的工作作了考察和分析。
- Methods in Evaluating Integrals, Some Complex Variable Methods, infinite Series, Special Function, Ordinary Differential Equations, Vector and Materials, Groups and Group Representations. 计算积分的方法、数方法、线级数、殊函数、分方程、量及矩阵、论。
- Teaching little children takes infinite patience. 教幼儿需有极大的耐心。
