查询词典 summation formula

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

Basic properties of Fouries series and the Fourier transform; Poission summation formula; convolution; mollification.

傅立叶级数和傅立叶变换的基本性质；泊松叠加方程；卷积；缓和？

A convergence acceleration technique based on functional asymptotic expansion and Poisson's summation formula is developed to raise the calculation efficiency of waveguide dyadic Green's functions which are expanded in infinite series.

为此，作者提出"谱展开边界元法"，以求解波导外空间的并矢Green函数；引入边界元法以求解波导壁内折曲缝隙腔的并矢Green函数；并研究了无穷级数的逐级加速收敛变换，以解决波导中Green函数的计算问题。

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。

General symptoms such as purpure in mucous membrance and skin, bleeding of internal organs, decreasing of weight and bad mental state caused by modeling were well improved in four control groups (Chinese traditional medicine group, western medicine group, PG original formula group and PG major formula group), the peripheral PLT was increased, spleen weight and its action of phagocytosis and damage to PLT were both decreased, morrow megakaryocytes differentiation and maturation were improved and hyperplasia descended, which showed significant differences compared with the model group. Differences among the four control groups were not significant. The optimal dose ratio of PG major formula was finded out with homogeneous design software UST3.0 and multiple regression: Astragalus root 48g, Rhubarb 15g, peach kernel 1Og, Agrimony 24g.

结果：模型建立成功；中、西药对照组、紫癜颗粒核心方组与原方组小鼠对于免疫法造模所引起的皮肤粘膜紫癜、内脏出血、体重减轻、精神状态差等一般症状均有较好的改善；小鼠的外周血小板计数得到提高；脾脏均重及对血小板的吞噬破坏降低；骨髓巨核细胞分化成熟程度增高，增生活跃度降低，与模型组相比较，均有显著性差异，四个对照组之间无显著性差异，利用均匀设计UST3.0统计软件分析，进行多元逐步回归处理，筛选出紫癜颗粒核心方的最佳剂量配比为黄芪48g，大黄15g，桃仁10g，仙鹤草24g。

In this study, the severe acute pancreatitis specific EN formula was composed based on the rationale of the nutritional mechanism of the disease, and the alanyl- glutminedipeptide was added into the formula. This study was cut in the combining site of clinical nutrition pharmacology and immunology to probe the effect of Gln in the special formula in SAP rat form several aspects including mucous barrier, immunological barrier and systemic inflammatory responses.

本课题研究在成功建立急性重症胰腺炎模型的基础上，在SAP专用肠内营养配方中加入水溶性和稳定性好的丙-谷氨酰二肽，并从临床营养药理学和免疫学的结合点切入，采用免疫学、分子生物学研究手段，重点从肠屏障功能、免疫功能、细胞因子方面研究早期肠内营养加谷氨酰胺防治SAP营养治疗作用机制。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。