The Positive Cones and The Simplicial Cones in the Topological Vector Space
拓扑向量空间的正锥与单形
We prove that the simplicial functor over a presheaf of simplicial groupoids is locally weakly equivalent to the homotopy fibre.
证明了在一个单纯广群的准层G上的单纯函子X是局部弱等价于同伦纤维。
A Classification of Simplicial Matrix and Estimation of Characteristic Root
单纯阵的分类及特征值估计
A Constructive Proof of Brouwer's Fixed Point Theorem Based on Integer Labelling In this paper a variable dimension simplicial restart algorithm with integer labelling for computing fixed points of a continuous mapping from simplex to itself is developed.
本文提出计算标准单纯形上连续自映射不动点的一种整数标号的变维数单纯重复开始算法，该算法给出了Brouwer不动点定理一个新的构造性证明。
The simplicial homology technique is a valuable and acceptable method to compute the polyhedron closed by spatial joint faces through engineering application.
具体工程应用表明，在进行有限大小节理面所切割成的多面块体判别与预测时，单纯同调理论是一种有效而实用的方法。
The production capacity of a steel tube cold drawing (rolling) workshop is calculated with the help of solving linear regular problems using the simplicial method.
本文借助单纯形法解线性规划问题的原理，推导出了冷拔（轧）无缝钢管车间生产能力的计算方法。
Comparison of Simplicial Method, Karmarkar and Transmutative Algorithm
单纯形法与Karmarkar算法及其变形算法的比较
In this paper, the suitable mathematical model of nonlinear dynamic network and its simplicial interpolation representation are derived, the integration formula for piecewise-linear differential equation and the time step control crossing the boundaries are discussed.
文中导出了适于这种方法的非线性动态电路的特殊数学模型和单纯形内插表示，给出了分段线性微分方程的积分公式和过境步长的控制。
By contrast, the method of determination of ursolic acid by high performance capillary Electrophoresis is more simplicial, rapid, accurate and sensitive than the ultraviolet spectrophotometry.
将紫外分光光度计与高效毛细管电泳两种测定熊果酸的方法进行比较分析。
In this paper, we use simplicial method for solving unconstrained minimization problems to find optimization of goal function, We give the program of the process and use the program for solving a practical problem.
本文的目的是用解无约束最优化问题的单纯形法，求目标函数的极值，并将这一过程编制成计算机程序，且用于一个实际问题的求解中。
The model is based on a collection of a divisional terrain data defined as simplicial complexes arranged into a partially ordered set by time and space.
模型把子区域地形几何数据定义为单纯复合形集，按地形变化时间顺序和空间关系组织成一个偏序集。
At the aspect of pipe diameter optimization, simplicial method and interior-point method are been used in solve liner optimization model of pipe diameter to reach minimum project cost or annual working cost of low pressure pipeline irrigation.
建立以管道输水灌溉系统的年折算费用最小为目标函数的管径优化线性规划模型，并将内点法应用于线性优化模型的求解。
For the above mentioned problems, over a long period of time, many kinds of numerical methods based on iterative principle such as Newton Method, Simplicial Method, Conjugate Gradient Method, Homotopy Algorithm, the Fastest Descent Method and Penalty Function Algorithm have been widely applied.
对于这类问题，长期以来基于迭代原理的各种数值方法，如牛顿法、单纯形法、共轭梯度法、同伦法、最速下降法和罚函数法等等得到了广泛的应用。
Let G be a graph and let V (G) be the vertex set of G. Define the neighborhood complex N (G) as the simplicial complex whose simplices are those subsets of V (G) which have a common neighbor.
一个图G的邻域复形是以G的顶点为顶点，以G的具有公共邻接顶点的顶点子集为单形的抽象复形。
Considering the computation of Kakutani fixed point of a point to set mapping in Rn, Merrill proposed a restart simplicial algorithm.
以欧氏空间中集值映射的Kakutani不动点的计算为背景，Merrill提出了一个重复开始算法。
Spatial data model is formalized according to partial order relationship, equivalence relationship and simplicial complex theory. A formalizing two-tuple (M, F) multi-resolution spatial data model is presented.
应用偏序关系、等价关系和单纯复形理论，初步研究了多分辨率空间数据模型形式化表达方法，提出了一个二元组形式化多分辨率空间数据模型。
The theory of " Symptom corresponding medicine " has a long history, it should be originated the originally simplicial experience of using the Chinese herbal medcine in ancient times.
药症相应思想由来已久，其最早应滥觞于上古时代原始朴素的用药经验。