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数值级数
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  numerical series
     In this paper,the author first proves a summation formula by the methods of recurrenceand Abel theorem,and then uses this formula to sum some numerical series.
     本文运用递推方法和Abel定理证明了一个新的幂级数求和公式,并给出了它在数值级数求和中的应用。
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  “数值级数”译为未确定词的双语例句
     Cauchy Test and D'Alembert's Test are most widely used to judge positive term series  ∑∞n=1|u n| .
     在数值级数中 ,对于一般的的变号级数∑∞n =1un,为了判断该级数是条件收敛还是绝对收敛 ,我们常常将其转化为判别正项级数 ∑∞n=1|un|与变号级数 ∑∞n =1un 的敛散性而得到 .
短句来源
     A note on rearrangement of numeral series
     对数值级数重组的注记
短句来源
     Instruction for the Conditions for Numerical Procession
     狄利克雷判别法(数值级数)条件的说明
短句来源
     As an example, a real value series given for the readers to find the sum formula
     作为举例、给出一个实数值级数sum from n=1 to ∞(1/n~2)(s>1),试问如何求该级数的求和公式.
短句来源
     It is dealt with that the effect of the convergence and the sums of numeral series in the conditions of the rearrangement and brackets are added. The two kinds of conditions are considered. First, the order of series is unchanged and the some terms are placed in brackets;
     讨论了数值级数重排及加括号重组对其敛散性及和的影响.即不改变级数顺序,只对其加括号重组和改变顺序重组,以及既改变顺序又加括号重组对其敛散性及和的影响
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  相似匹配句对
     A note on rearrangement of numeral series
     对数值级数重组的注记
短句来源
     Instruction for the Conditions for Numerical Procession
     狄利克雷判别法(数值级数)条件的说明
短句来源
     The computational result is compared with G.
     数值结果和G.
短句来源
     To the Sum of Series
     级数求和
短句来源
     (2) numerical simulation;
     数值模拟;
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  numerical series
A theorem on rearrangements of numerical series, proved by Agnew, is extended to series in a Hilbert space.
      
In this paper we obtain the necessary and sufficient conditions on permutations of numerical series which transformed any B-summable series into an A-summable series, where A and B are matrices satisfying certain conditions.
      
In the case of numerical series (), rigorous error estimates for the asymptotic approximations are also provided.
      
Spatial random field simulation by a numerical series representation
      
As a by-product, we obtain Tauberian conditions ensuring the convergence of a double numerical series provided it is Cesàro summable.
      
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In this paper,the author first proves a summation formula by the methods of recurrenceand Abel theorem,and then uses this formula to sum some numerical series.

本文运用递推方法和Abel定理证明了一个新的幂级数求和公式,并给出了它在数值级数求和中的应用。

Based On Polya Viewpoint, this essay suggests that in studying mathematics one shouldspecially investigate"How people arrive at his conclusion"and following the given topics engaged instudying purposely and systematically,to solve this given problem.As an example, a real value series given for the readers to find the sum formula

本文根据G.p(?)lya的观点,提出在学习数学中要看重研究“人们如何发现这些结论”(G.p(?)lya语),并在研究数学中,围绕选择的课题,进行有针对的系统的学习,来解决所给的问题.作为举例、给出一个实数值级数sum from n=1 to ∞(1/n~2)(s>1),试问如何求该级数的求和公式.

It is dealt with that the effect of the convergence and the sums of numeral series in the conditions of the rearrangement and brackets are added. The two kinds of conditions are considered. First, the order of series is unchanged and the some terms are placed in brackets; Second ,the order of series is rearranged and brackets are added. The sums of some series are found in the case of the arrangement.

讨论了数值级数重排及加括号重组对其敛散性及和的影响.即不改变级数顺序,只对其加括号重组和改变顺序重组,以及既改变顺序又加括号重组对其敛散性及和的影响

 
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