查询词典 two body problem

Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发，本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围，同时指出：内域型表达是求解半空间内含夹塞区出平面散射问题的要点，而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键，同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。

Since the problem of GVT with two primes restricted in arithmetic progressionsof the same moduli k is actually the same as the previous problem(2),we consideredthe problem of GVT with exactly one prime in an arithmetic progression.

两个素数取值于相同模的算术级数中的GVT问题实际上和前面的的问题（2）是一样的，于是只需考虑一个素变数在算术级数中取值的奇数Goldbach问题。

The problem is divided into two sub-problems: task assignment problem and task merging problem.

提出了将原问题分解为任务分配与任务合成的分解优化思路。

We also show that the one-to-one defensive competition problem is a generalization of the Tukey median problem and the smallest enclosing circle problem which are two famous problems in computational geometry.

同时我们也讨论了竞争性区位设施之防御问题与其他计算几何领域内的著名题目例如，Tukey 中间值及最小圆盘集合之间的关系。

To increase the running speed of the collision detection algorithm, a new approach is proposed, which uses convex Bounding Volume Hierarchies to express convex polyhedron. Thus the distance problem of two convex polyhedrons is come down to a nonlinear programming problem with constraints. The nonlinear programming problem can be solved by simulated annealing genetic algorithm.

为了提高碰撞检测算法的速度，提出用顶点的凸包表示凸多面体，将两个凸多面体间距离的问题归结为一个带约束条件的非线性规划问题，利用模拟退火遗传算法对该问题进行求解。

The two stage method by-passes the correspondence problem and ill-posed problem encountered in the general motion analysis, and avoids the local minimum problem of the spatial-constrain-based iteration method.

本文推广了全景图象方法和外极面图象方法，从而使之能适用于具有抖动的图象序列分析，并避免了一般运动视觉方法的不适定问题和特征对应问题、基于空域约束的迭代方法的局部最小化等问题。

This paper is concerned with two typical kinds of initial value problem for the simplest Chapman-Jouguet combustion model: the ignition problem and the generalized Riemann problem.

本文研究了最简Chapman-Jouguet燃烧模型的两类典型初值问题：点火问题和广义Riemann问题。

In the union mathematical analysis the integration by parts this content two different teaching methods, we elaborate in the problem solution teaching has prohibited become the problem solution teaching class in the problem explanation introduction class.

结合数学分析中分部积分法这一内容的两种不同的教学方法，论述了在问题解决教学中切忌把问题解决教学课上成问题解答介绍课。

In this paper, two partition models are built to formulate the document collection partition problem from the essence of the problem itself and they can be used as the evaluation criterion of the document collection partition problem.

从文档集合划分问题本身出发，给出了两个划分模型来刻画文档集合划分问题，从而使这两个模型可以作为文档集合划分的有效评价指标。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。