查询词典 bounds

Know no 'bounds be very great or too great 无限: When she heard the news her fury knew no bounds.

她听到这个消息，顿时怒不可遏。

In chapter 2 we obtain existence and joint continuity of the local time foradditive Lévy process under some conditions and discuss the upper bounds andlower bounds for the Holder laws of local times processes,the probability of somerare events ralated to small fluctuation of the sample functions and sojourn times insmall balls.Finally some liminf's results about the local and uniform oscillationsof additive stable process are acquired.

第二章给出了可加Lévy过程的局部时存在和联合连续的条件，讨论了其局部时过程的〓律上界和下界，以及可加Lévy stable过程跟样本函数局部振动相关事件的概率和停留在小球上的逗留时问题，同时对可加Lévy stable过程的样本轨道的局部和一致振动证明了一些liminf型结果。

Based on the maximum principle,we construct the blowing-up lower solution by the relations of parameters and solution of the ordinary differential equation and then the blow-up properties are studied.We use the maximal principle to analyse the derivative profiles of the solution and get the lower bounds and upper bounds of blow-up rate through the complicated analysis technology and the inequality theory.

基于最大值原理的比较理论，通过一些特定的参数关系，利用相关常微分方程的解构造合适的爆破形式的下解，由此得到退化反应系统初边值问题的爆破解；然后，对爆破解的性质进行进一步的研究，利用极大值原理对解的导数特性进行了分析，给出了解的爆破速率的上、下界估计。

2 If the ball is out-of-bounds because of touching or being touched by a player who is on or outside the boundary line, this player causes the ball to go out-of-bounds

如果球出界是因为满足了"球碰到在界线外的球员"这个条件，那么是该球员使球出界

In practically all golf courses, there will be areas that border the courses, and are marked as "out of bounds." If the ball is hit out of bounds, the player must hit the ball from a nearby position and take a penalty of one stroke.

在几乎所有的高尔夫球场，将有地区接壤的课程，并注明为"过界"如果球击中走出，球员必须击中球从附近立场，并采取了罚款一招。

Meanwhile, we also provide methods for computing the weighted polar decomposition, and study error bounds for the approximate generalized positive semidefinite polar factor and perturbation bounds for weighted polar decomposition in various norms.

针对这个新的矩阵分解，我们证明了其唯一性定理，给出了其唯一性条件，讨论了其极因子的最佳逼近性质；同时，我们还探讨了矩阵加权极分解的计算问题，研究了由迭代算法引起的极因子的误差界，极因子在各种范数下的各种形式的扰动界等。

A series of counting formulas for circle simple arc two bounds combination and circle double arc two bounds combination were obtained.

提出了有关环状单弧限距组合及环状双弧限距组合的一系列计数公式。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

Firstly, we present some sharp upper bounds on the adjacency spectral radius of graphs, and show that these bounds are somewhat better than the known ones.

首先，我们给出一些图的邻接谱半径的一些新的可达上界，并说明这些新结果在一定情形下比已有的结果要好。

In this paper,lower bounds on the spectral radius of adjacency matrices of trees and perfect trees are discussed by algebraic method and edge switching of graph,and all trees which reach lower bounds on the spectral radius are obtained.

利用代数方法、图的边变换，以及树的邻接矩阵谱与L ap lacian谱的关系，研究树和完美树的邻接矩阵谱半径和L ap lacian谱半径的下界，给出达到下界的所有极树，得到的新结果改进了文献[2]的结论。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。