Potapov s fundamental matrix inequality of the Nevanlinna Pick interpolation problem with multiple derivatives for Caratheodory matrix valued functions and Potapov s fundamental matrix inequality of its related trigonometric moment problem are mutually equivalent, and an implicit relation between the solutions of the two kinds of interpolation problems is reproved.
证明了Caratheodory矩阵函数类中带多重导数的Nevanlinna Pick插值问题的Potapov基本矩阵不等式与它的相关三角矩量问题的Potapov基本矩阵不等式相互等价 ,并重新得到了这 2类插值问题解之间的一种明确的对应关系 。
Investigation to rectangle triangulation problem;
矩形的三角形划分问题研究
At last,the conclusions are applied to solve the related triangular problems.
首先,从《数学通报》2007年第9期的一个问题出发,根据问题结构特点,巧妙利用琴生不等式求解;其次,对问题进行了推广,获得了三个结论;最后,把获得的结论应用到解决有关的三角问题上。
The problem called rectangle triangulation problem which is a special case of triangle packing problem is proposed and proved to be NP complete,a necessary condition that ensures the problem have a solution is given.
给出了矩形的三角形划分问题的定义,该问题是三角形Packing问题的一个特例,证明了该问题是NP完全的,并给出了该问题有解的一个必要条件。
An Quasisociological Algorithm for Solving the Unit Equilateral Triangles Packing Problem;
求解单位等边三角形Packing问题的占角算法
Classification of Rigid Placements about Triangle Packing Problem;
三角形packing问题中零自由度动作的分类
How to Find out Minimum Damage to Unit Equilateral Triangle Packing;
求解单位等边三角形PACKING问题的最小损伤法
The Heuristic Methods for the Disks Packing Problem;
求解圆形packing问题的启发式方法
Pure Quasi-human Algorithms for Solving the Rectangle Packing Problem;
求解矩形packing问题的纯粹拟人算法
Rectangle-packing Problem Based on Modified Particle Swarm Optimization Algorithm
基于改进粒子群优化算法的矩形Packing问题
Heuristic Algorithms for the Protein Structure Prediction Problem and the Rectangles Packing Problem;
求解蛋白质结构预测问题及矩形packing问题的启发式算法
An Improved Scatter Search for Circles Packing Problem with the Equilibrium Constraint
用改进的散射搜索法求解带平衡约束的圆形Packing问题
Parameterized Algorithm for the Matching and Packing Problem;
Matching和packing问题的参数算法研究
Maximum Caving Degree Algorithm for Solving Cuboids Packing Problem;
求解长方体Packing问题的最大穴度算法
Researches of Packing Problem with Time Dimension
带时间维度的Packing问题的研究
On the Number of the Lattice Point Triangle from the m×n Rectangle;
m×n矩形的格点三角形的个数问题
Research of space angles by graphic method
广义直角三角形法图解空间角度问题研究
The 4-choosability of Some Plane Graphs without Adjacent Triangles;
不含相邻三角形平面图的4-选色问题
Discussion on "Napoleon Triangle" etc;
关于“拿破仑三角形”等问题的研讨
Research and Application of Measure and Conquer in Set Packing;
加权分治技术在Set Packing问题中的应用与研究
The 4-Choossability of Some Plane Graphs Without Adjacent Triangles
不含相邻三角形平面图的4-可选色问题
Study on "Triangular Cases";
国际税收协定中的“三角情形”法律问题研究