查询词典 solutions

In conclusion, by consideration of viscosity effect of material at propagating crack-tip, it is established in the paper the unified continuous singular crack-tip field in linear-hardening material under the condition of incompressibility. The plastic shock is eliminated that exists in non-viscosity solutions. What's more, the dynamic and quasi-static solutions are united together when the Mach number approaches zero.

总之，通过考虑扩展裂纹尖端材料的粘性效应，本文建立了幂硬化材料在不可压缩条件下扩展裂纹尖端的统一的连续奇异性场，消除了无粘性解中存在的塑性激波，在马赫数趋于零时动态解和准静态解得到了统一。

The flow of incompressible viscous fluid is controlled by Navier-Stokes Equations.The qualititave analysis of the solutions of the equation is important to the studies of bifurcation problems and numerical solutions of the equations.

对于描述不可压缩粘性流体流动的Navier-Stokes方程，其解的定性分析结果对于该方程的数值求解及其分歧问题的研究都是十分重要的。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

Chapter 4,based on strong efficiency rather than efficiency or weak effi-ciency,discusses the similar problem to chapter 3.The concepts of strongsupremum and strong infimum for the set in finite-dimensionalEuclidean space are given,s-conjugate functions and s-subdifferentials theory is developed,by means of which,the duality problem ofmulitobjectivre programming for strong efficient solutions or called absoluteoptimal solutions is analysed,and a new duality theory-s-conjugateduality theory is proposed.

第四章，基于强有效性而不是有效性和弱有效性，给出了类似于第三章的结果，提出了有限维欧氏空间中集合的强上、下确界等概念，研究了点集映象的强共轭函数和强次微分问题，建立了点集映象的s-共轭函数及其s-次微分理论，并借助于这一理论，讨论了多目标规划关于绝对最优解或称强有效解的对偶性问题，建立了基于强有效性的s-共轭对偶理论。

We derived evolution equations of the corresponding Eu-clidean support functions.Finally we obtained that the solutions of the heat equation convergeto a point in infinite time,the solutions of the other equation converge to a point in a finite time

我们又得出相应的欧氏支撑函数的发展方程，最终得到热方程的解在无限时间时收敛于一点；另一发展方程的解在一个最大时间区间内存在，并且在有限时间内收敛于一点。

The Integer Solutions Property: As long as all the supplies, demands, and arc capacities have integer values, any minimum-cost flow problem with feasible solutions is guaranteed to have an optimal solution with integer values for all its flow quantities.

具有整数解的特征：只要其所有的供应、需求和弧的容量都是整数值，那么任何最小费用流问题的可行解就一定有所有流量都是整数的最优解

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论，分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题，给出了周期解存在的充分条件，并估计出了周期解的存在区间。

XieAn will develop enhanced emergency communication solutions for the public safety and disaster management agencies of China and combine Intrados emergency services、9-1-1 call routing and location provisioning experience with PDAgers enhanced emergency calling service platform to deliver effective emergency communication solutions for local China environment.

协安技术将为中国公将秽物倒进河水，还在河边冲洗，用刷子擦，坚硬的塑料须擦着金属面，磨出笨拙的窸窣声，如同猫鼠在青瓦屋顶追逐，或者安部门和灾难防范机构提供增强型紧急通讯解决方案，并将Intrado公司在应急联动服务、911呼叫出警调度、定位系统上的专业技术与协进科技增强型紧急救助服务的平台结合起来，因地制宜，为各种环境提供有效的紧急通信解决方案。

The result also indicated that variation in atomic neighbour distance with concentration is about 40 percent and 20 percent, respectively, for ionic bond and covelent bond solid solutions, compared with that expected by the near neighbour vegard's law, while in the metallic bond solid solutions, this exceeds 50 percent, even reaches 80 percent 〓 so.

用虚晶格近似模型来描述固溶体中的原子近邻结构是不恰当的，然而原子近邻距的加权平均却与VCA值一致，这说明固溶体晶胞参数随成分的变化规律是由原子近邻距随成分的变化规律所决定的。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。