关键词： POLYNOMIAL INTERPOLATION   MULTIPOINT POLYNOMIAL EVALUATION   ECONOMIZATION OF TAYLOR SERIES  

摘要： We improve the known solutions of the problems of numerical polynomial interpolation and economization of Taylor series;in both cases the improvement relies on the algebraic computation techniques.

关键词： 计算方法   间隙配合   数学模型   标准公差   公差  

摘要： 本文是以间隙的计算极限为基本条件，建立中等尺寸的基孔制、基轴制和任一孔、轴公差带组成间隙配合的数学模型。同时，对得出的多个配合中确定最佳配合提出了选择的条件。

关键词： 丁二烯   计算   萃取   精馏塔  

摘要： 丁二烯抽提（ＧＰＢ）装置的第一、二萃取精馏塔底部均装有侧沸器，实际上是集液板。与一般塔板不同，模拟计算时不能简单地采用三对角矩阵法求解所列方程组，而必须用矩阵求逆法或其它方法求解，这就需要更多的内存和更多的计算时间。文中将数学模型进行变换，使之仍可采用三对角矩阵法求解。在此基础上，应用了二阶Ｒｕｎｇｅ－Ｋｕｔｔａ及三对角矩阵联合法计算，顺利收敛，达到满意的计算精度。

关键词： 网络流   算法   三角债   数学模型   组合最优化  

关键词： 动态   仿真   催化   裂化   分馏塔   算法   数学模型  

摘要： 将催化裂化液相产物按集总虚拟组分处理,建立了逐板动态数学模型,采用有效、简便的动态仿真计算策略,开发了通用动态仿真软件包.得到各种过渡过程中每层塔板上温度、压强、气液相组成和负荷以及产品流量和组成的响应历程,并给出各层塔板上操作点的动态响应轨迹及其在适宜操作区的位置.

关键词： LIE GROUPS   ALGEBRAS   ALGORITHMS   PARTIAL DIFFERENTIAL EQUATIONS   GROUP THEORY   POLYNOMIALS   IRREDUCIBLE REPRESENTATIONS   SYMMETRY GROUPS   DYNAMICAL GROUPS  

摘要： An analytical method to calculate invariants is developed, based on the theory of complete systems of simultaneous linear first order partial differential equations. The application of this algorithm to the general case, in which the invariants are not polynomials is included. For the case of Lie algebras with one invariant the procedure of finding the invariant can be computerized. As an example of this procedure, the algorithm is applied in the calculation of the invariants of the group SA(n,R). The explicit construction of its invariants for n = 2, 3, 4 is given. A theorem determining the order of a polynomial invariant of a Lie group is proven allowing us to show that the invariant of SA(n,R) is a homogeneous polynomial of order 1/2n(n + 1) in the generators. From this fact an immediate consequence is that the order in the generators of translations is n. The method is also applied in the calculation of invariants of the dimension six solvable Lie algebras, and dimension seven nilpotent.

关键词： 独立权利要求   数学算法   地震信号   专利法   授予专利权   计算方法   计算公式   技术特征   相位校正   保护范围  

摘要： 一、概述 发明专利实质审查的目的是根据专利法及其实施细则审查发明专利的权利要求是否可能被授予专利权。如果权利要求有可能被授予专利权的话,要恰当限定权利要求所要求保护的范围,使得被授予专利权的专利申请的保护范围既要保护专利权人的合法权益,也不要损害公众利益。本文较详细地探讨了权利要求中含有数学算法时的发明专利的实质审查问题。

关键词： .cache misses   peak performance   cache blocking   algorithms for dense   algorithmic prefetching   RISC System   dense-matrix  

摘要： In this paper, we introduce a concept called algorithmic prefetching, for exploiting some of the features of the IBM RISC System/6000(R) computer. Algorithmic prefetching denotes changing algorithm A to algorithm B, which contains additional steps to move data from slower levels of memory to faster levels, with the aim that algorithm B outperform algorithm A. The objective of algorithmic prefetching is to minimize any penalty due to cache misses in the innermost loop of an algorithm. This concept, along with ''cache blocking,'' can be exploited to improve the performance of linear algebra algorithms for dense matrices. We experimentally demonstrated the impact of prefetching on two dense-matrix operations. For one operation, the performance was improved from 74% of peak to 89% of peak by algorithmic prefetching;for the second operation, it was improved from 73% to 87% of the peak performance.

关键词： 数学规划   物理模型   摄动   人工释能法  

摘要： 利用力学原理，建立了用微分方程描述的带不等式约束优化问题的物理模型，用人工释能和摄动的思想，推广了现行的一些可行方向算法，并对算法的收敛性进行了讨论．