查询词典 summation

Borel summation finds application in perturbation theory where physicists frequently require the sum of a series even though it is divergent.

应用 Borel 总和在，即使它是的，物理学家经常需要系列的总和。扰动理论方面发现应用。

Finally, another generalization of Gasper's bibasic summation formula is also obtained.

并给出了Gasper双基和公式的另一个推广形式。

As applications of Gasper's matrix inverse, we generalize Jackson's bibasic summation formula 40,

并且具体的讨论了带参数（a，q，2）的Bailey对和带参数（a，q，3）的Bailey对的具体应用。

One of them contains a special case of q-Dougall summation formula,the other includes the famous Rogers-Ramanujan identities as special cases.

我们发现了两类新的基本超几何级数求和变换公式，其中一类的特殊情况包含在q-Dougall的求和公式中，另一类的特殊情况是著名的Rogers-Ramanujan恒等式。

A fast calculation approach for large-scale matrix operation, which can be accomplished by Graphic Processing Unit, was designed. For taking full advantage of the parallel architecture of GPU to enhance the calculation speed, special matrix partitioning and memory allocation mechanism according to the features of GPU were designed to decrease the frequency of data access. Meanwhile Kahan's summation formula was introduced to ensure the precision of the calculation.

设计了一种在图形处理器上完成大型矩阵快速运算的方法，主要通过使用Kahan求和公式来确保计算精度，根据GPU特点设计矩阵分块方式和内存分配机制来减少对数据访问频次，以发挥GPU的并行体系结构特性来提高计算速度。

Test results show that the equivalent strain method exhibits a higher life assessment precision as compared to that by linear damage summation. The critical damage formula for equivalent strain can quite well predict the actual damage incurred and the equivalent strain-life curve with hardness modification fundamentally conforms with the pure fatigue strain-life curve.

试验结果表明，在预测寿命时等效应变法比线性累计损伤法具有更高的精度，等效应变的应力下临界损伤公式能够很好地预测实际损伤，考虑硬度修正的等效应变-寿命曲线和纯疲劳应变-寿命曲线基本一致。

The arithmetic advanced people who had studied all knows , the integral concept is four key: Carve up similar summation taking a limit.

学习过高等算术的人都知道，定积分的概念是四个关键：分割——近似——求和——取极限。

Communal the best amount condition that tastes supply is equal to limit changeover rate for summation of limit substitution rate, namely communal tasting supply to realize the condition with best Pareto is, every consumer is right communal taste disbursement price to must be equal to communal the limit cost that tastes production.

公共品供给的最优数量条件为边际替代率总和等于边际转换率，即公共品供给实现帕累托最优的条件是，每个消费者对公共品支付的价格必须等于公共品生产的边际成本。

A theorem for the summation of series expressed by function terms derived from function identities is established.

摘要建立了由函数恒等式所导出的函数项级数的求和定理，并给出了具体应用的实例。

Computation result is compared with the direct summation of the series form solutions of the electromagnetic filed over the sphere.

同球外电磁场直接级数求和表达式的计算结果进行了比较。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。