极限关系

Only in the limit of large N and low excitation condition, i. e. in low density region, the exciton operators can satisfy the normal bosonic commutation relation.

而在大N极限下和低激发的情况下，即低密度情况下，激子算符满足通常的玻色对易关系。

These results show the corresponding relationship between the composite function and interior function and outer function.

本文讨论复合函数的性质，对复合函数在极限、连续性、可导性、可积性、有界性、奇偶性、周期性、单调性、极值等方面的性质进行了总结和进一步的探讨，得到一系列结果，这些结果描述了复合函数与其内外函数之间在相应性质上的关系。

The the probabilistic forecasting method of the error between the sample mean and expectation value of the random variable utilizing the central limit theory was researched, then the mathematical formula for the relation between sampling size and variance coefficient of loss of load probability was analyzed. Furthermore, the formulas for the relation between confidence intervals of variance coefficient and sampling size are deduced.

基于中心极限定理深入研究随机变量的样本均值与期望值之间误差的概率预测方法，在此基础上分析失负荷概率(loss of load probability，LOLP)指标的方差系数和样本容量之间的关系表达式，导出方差系数给定时的样本容量置信区间公式及样本容量给定时的方差系数置信区间公式。

Through a test, questionnaire survey and interviews, this paper intends to investigate the images of the freshmen with different specialities about the concepts of limit, continuity andderivative of a function at a point x_0 and the relationship among them.

函数在点x_0处的极限、连续和导数三者概念，本文通过问卷调查和访谈，对不同专业的大学一年级本科生的概念表象和三者关系的理解水平进行了研究，而且对三个专业进行显著性差异比较。

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

The problems of point - line - plane - volume; the facts of square - circle - triangle; the mysteries of central - peripheral - frontal - oblique - concave - convex; the right angle and perpendicular; of scale and position; the interest in post- lintel, wall-slab, vertical-horizontal; the arguments of two-dimensional and three-dimensional space; the extent of a limited field; the meaning of implied extension; the meaning of plan, of section, of spatial expansion - spatial contraction - spatial compression - spatial tension; the direction of regulating lines, of grids; the relationships of figure to ground, or number to proportion, of measurement to scale, of symmetry to asymmetry, of diamond to diagonal; the hidden forces, the ideas of configuration; the static, the dynamic: all these begin to take on the form of a vocabulary.

点-线-面-体的课题；正方形-圆形-三角形的事实；中央-边缘-正对-倾斜-凹入-凸出的奥秘；直角与垂直；尺度与位置；柱-梁、墙-板、竖直-水平的旨趣；两维与三维空间的思辩；局促场所的极限；暗示延伸的含意；平面、剖面、空间扩充-空间收缩-空间挤压-空间张拉的意义；控制线与网格的方向；图与底、数字与比例、尺寸与尺度、对称与非对称、菱形与对角线的关系；暗藏的力量、构型的想法；静态、动态━这一切都将发展成为语汇的形式。

Based on the characteristics of stress distribution in high-pressure cylinder ,the formula of calculating the maximal equivalent stress is educed according to the fourth strength theory and the quantitative relationship between cylinder's inside pressure and diametrical ratio and the fatigue limit were founded.

基于高压缸的应力分布特点，由第四强度理论推导出了高压缸最大应力的当量应力的计算公式，建立了缸筒内压与缸筒径比及持久极限的量化关系。

By the aid of defineding an equivalence relation on the disjoint union of a family of quantales, the direct limit structure in the category of quantale was obtained.

利用在一族Quantale的不交并上定义的等价关系，给出了范畴Quant的定向极限的结构。

The lowest loss mode fields and the far field divergency angles of output beams of the UPCUR are calculated by use of Prony method. The relations between the mode discriminability, far field divergency angles and the parameters of the resonator are analyzed. And the theoretical results show that the output beams with diffraction limit quality can be obtained by using the UPUR with small magnification (M=1. 3), which is much better than the traditional unstable resonator under the same conditions.

采用Prony方法计算均匀相位输出耦合镜非稳腔的输出模场分布及远场方向性，分析了模式分辨率和光束远场发散角与系统各参数之间的关系，理论计算得到的结果表明，采用均匀相位输出耦合镜非稳腔，可以在小放大倍率(M=1.3)情况下得到质量达到衍射极限的输出光束，远远好于同等条件下的常规非稳腔，因此这种新型的谐振腔适用于在工业用千瓦级氧碘化学激光器。

By investigating the effect of all the factors, including particle size, density, elastic deformation coefficient, Hamaker constant, surface energy, yield limit and relative velocity, on the particle behavior in the process of collision, the rule of collision and agglomeration with the change of these factors is obtained in detail.

为考察包括颗粒的粒径、密度、弹性变形系数、Hamaker常数、表面能、屈服极限和碰撞初速度等众多因素对碰撞规律和团聚趋势的影响，本文采用"数值实验"方法，获得了碰撞力与范德华力的相互关系、碰撞弹性回复系数和团聚趋势随各参数的变化规律。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。