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In the gravitational field of the earth, negative energy corresponds to bounded motion and positive energy to unbounded motion

在地球的重力场中，负的能量相应于有界限运动，正的能量相应于无界限运动。

In addition, in order to extend existing methods on bounded domains to unbounded domains, a simple practical approach is proposed by higher continuous differentiable homeomorphism.

另外，利用高阶连续可微的同胚映射，给出了一种实用的转化方法，将现有的有界域上的区间算法推广到无界域上。

Secondly, the isolation of plane P and S waves by using a row of rigid or elastic piles as a barrier is investigated in a homogeneous unbounded space.

其次，分别采用刚性和弹性排桩作为屏障，对全空间饱和土中排桩对平面纵波和横波的隔离问题进行了研究。

The first step is to calculate the hydrodynamic performances of the two-dimensional steady flow around a hydrofoil in the unbounded flow field, and compare and verify with the experimental values.

首先计算了无界流场中二维翼型定常绕流的水动力性能，并与实验值进行了对比校验。

For the longitudinal probability distributions of cross sections of unbonded prestress tendons, it is evident that the reliability index of unbounded prestressed concrete members decreases with the number of independent and identically distributed random variables decreases.

分析结果表明，体外无粘结预应力钢筋截面面积沿长度方向的变化，引起结构可靠指标的降低是比较明显的，可靠指标随着独立同分布随机变量的数目的增大而减小。

Specially, in Hilbert spaces, some necessaryand sufficient conditions are given in terms of the uniformly square integrability anduniform boundness of the resolvent on the imaginary axis respectively. Furthermore,we consider this robustness fordifferential equations with unbounded operatorin the delay term.

我们进一步研究了时滞项含无界算子的抽象微分方程的小时滞鲁棒稳定性，获得了一些充分必要条件，并应用所得结论讨论了具解析半群生成元的时滞系统。

This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity, obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral, and gave out the proof.

将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较，得到了相应的反常积分敛散性极限审敛法的等价定理，并给予证明，从而可运用等价定理灵活的判断反常积分的敛散性。

Ablish two decision theorems of relative compactness for unbounded function groups in an infinite interval.

sect；2.3我们建立了判定无穷区间上抽象无界连续函数组和抽象无界可微函数组相对紧性的充分必要条件，并对无穷区间上抽象二阶微分方程两点边值问题无界解的存在性做了研究。

Case of the unbounded initial data...

第四章讨论初值无界的情况。

The linear sampling method for the inverse scattering problem of acoustic waves is based on the fact that: a linear integral equation of first kind-far field equation including a parameter has an unbounded solution as the parameter approaches the scattering boundary from inside.

本文在此基础上就Dirichlet边界条件的声波反散射问题，利用积分方程理论严格证明了线性抽样方法对其的可用性，具体数值例子表明该方法是有效的。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。