查询词典 many body problem

The braid group is infinite non-commutative group, and it has many hard problems that can be utilized to design cryptographic primitives, such as the word problem, conjugacy problem and root problem.

辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。

Among many directions of the fixed point researches, it becomes main problem that the convergence problem about making approximating fixed point sequences and its application in control, nonlinear operator and derivative equation etc. The research of this problem will play an important role in its application in reality.

在不动点问题研究的众多方向中，关于构造渐近不动点序列的迭代收敛问题以及其在控制、非线性算子和微分方程等方面的理论结合及应用成为研究的主流问题，对这方面问题的研究会在实际运用中起到至关重要的作用。

The multicast routing problem that finding the minimum cost multicast routing tree with many QoS constraints may be formalized to Steiner tree problem in network, which is a NP-complete problem that an algorithm that finds a Steiner tree can not get the best solution in polynomial time.

寻找有多个QoS约束的最小代价组播路由树可以形式化为网络中的Steiner树问题，它是一个NP完全问题，在多项式时间内不能得到最优解，因此研究者所寻求的是一种次优的、在最差情况和平均情况下的性能都接近于最优的解决方案。

Until recently, the convergence of the Rosen"s arithmetic has been proved. The projection gradient method is the generalization of Steepest decent method to constraint problem. So it does have a faster convergence speed that the fastest decent method . To solve the problem, many researchers have generalizat the well-developed optimization with unconstraint to the Rosen"s gradient method. The conjugate gradient method is one of success to solve the problem.

投影梯度法是最速下降法对约束问题的推广，因此没有较快的收敛速度，为了解决这个问题很多中外学者把发展得比较成熟的无约束最优化算法作类似的推广，其中共轭梯度方法是近年发展的很成熟的方法，它具有计算简单，算法结构好，计算量少，具有良好的收敛性等优点，而Rosen投影梯度法的提出使寻找下降方向变得简单。

At the same time,select three issues carries on solve by the Year 2008's ACM\ICPC finals:air condition machine is description the elbow of air conditioning installation problem,limited the quantity and types of air-conditioning pipe under the conditions of the installation of air-conditioning method;Password suspects,this problem is giving a system password letter combinations possible combinations and length under the conditions,to design an algorithm to calculate the correct arrangement of the password;Steam roller,this problem giving the situation of urban streets,drive steam roller from one point to another point of the shortest path,is used by how many time.

同时，选取了2008年度ACM\ICPC总决赛的三道题目进行求解：空调机器这一题描述的是对空调管的安装问题，在限定空调管数量和型号的条件下空调管可能的安装方法；密码嫌疑这一题求解的是在给定一个系统密码的可能的字母组合和长度的条件下，设计一个算法以算出正确的密码的排列方式；蒸汽压路机这一题是在给出城市道路情况的条件下，求两点间压路机走完最短路径总共所花费多少时间的问题。

Most often we can not 'fix' an individual Member's tech problem because unless it effects many Members and unless there are a couple of good data points to find out the source of the problem, it is currently too expensive for AGLOCO to try to have a tech person work on a single problem at this point.

最常见的，我们不能'解决'个人会员的技术问题，因为除非它的影响，不少议员和除非有一对夫妇的良好的数据点，以找出问题的根源，这是目前太昂贵agloco尝试有一个科技人的工作，对一个单一的问题，在这一点上。

Traveling Salesman Problem is the well-known combination optimizing problem, it colligates the classical typicality of a type of combination optimizing problem, and exists .in VLSI chip manufacture, printing circuit design, X-ray crystallography, robot control and many other high-tech fields. According to N P-completed theory, TSP belongs to NPH, it can't be solved by routine search methods, and different types of solutions must be employed.

旅行商是组合优化中最为著名的问题，它综合了一大类组合优化问题的典型特征，并以不同的形式存在于超大规模集成芯片制造、印刷电路板设计、X-射线结晶学、机器人控制等高科技领域。

It is an admixture of many kinds of many kinds of different structure body. It is easy to be absorbed in the human body.

它是多种异构体的混合物，在人体内更易被吸收。

The Joseph father advantage takes a bath the number of times are not many, the approximately 23 weeks only then flush one time then to be possible, but the pet owner cannot be therefore loaf, still importantly recorded scratches every day for the dog class throws over the wool, can make to throw over the wool maintains along slides sharp; Because the Joseph bottomless wool level, throws over the wool in addition inborn along the straight relations, therefore throws over the situation which the wool very little appears ties a knot, in after dog flushing body, must thoroughly and eats Mao Mogan does, uses the unraveling to comb again combs the wool cascade is suitable, because the dog throws over the wool young, therefore in combing time then must double carefully, combs by suitable Canada, only then not Mao Shuduan, if needs, may use unraveling unrefined oil, when carding wool then did not fear that sleepy wrong with adds makes the painful dog; Because throws over the wool the fat secretion to be many, the ear easy Tibet dirt, skin also Yi Sheng to have the tinea, must therefore maintain the body clean clean.

补充约瑟爹利洗澡的次数不多，约两三星期才冲洗一次便可，但饲主也不能因此而偷懒，仍要紧记每天为狗儿流擦披毛，才能令披毛保持顺滑亮丽；由於约瑟无底毛层，加上披毛天生顺直的关系，所以披毛很少出现打结的情形，在替狗儿冲洗身体后，要彻底把毛抹乾及吃乾，再用解结梳把毛逐层梳顺，因为狗儿的披毛较幼，所以在梳理时便要加倍小心，以适当的加度去梳，才不把毛梳断，如需要的话，更可使用一解结毛油，梳毛时便不怕困错用加而弄痛狗儿；由於披毛的脂分泌较多，耳朵易藏污垢，皮肤亦易生有癣疥，所以要保持身体清洁乾净。约克夏狗是狗类型一个小狗品种，开发在19世纪在约克夏历史地区在英国。品种的定义的特点是它的小型和它柔滑的蓝色和棕褐色的外套。品种起绰号Yorkie和安置在狗小组的玩具狗部分由Fédération Cynologique国际歌和在玩具小组或伴侣小组由其他狗窝俱乐部，虽然所有同意品种是狗。一赢取的showdog和一条普遍的伴侣狗，约克夏狗也是其他品种的发展的一部分，例如澳大利亚柔滑的狗。

20 Centuries 60 time, american Gristina put forward, all biology material are embedded inside body hind, its surface all can form a kind of biomembrane, bacterial criterion is many in this kind of biomembrane progenitive, the many mucilage outside producing a cell is qualitative (Extracellular Slime Substance, ESS), it is the easy hair sex that causes false body infection and the main factor that study a gender hard.

概要： 20世纪60年代，美国Gristina等提出，所有的生物材料植入体内后，其表面均能形成一种生物膜，细菌则在这种生物膜中大量繁殖，并产生细胞外多粘质物质(Extracellular Slime Substance，ESS)，是导致假体感染的易发性和难治性的重要因素。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。