端点

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

through researching the formula on Newton interpolation of equally spaced nodes, especially through estimating and computing the remainder, we can draw a conclusion that the precision of the interpolation point selected in the middle is higher than near the end, the value of t also should be magnified to , and giving a new estimating formula on remainder which is easy to compute.

通过研究等距节点的Newton插值公式，尤其通过估计和计算其余项，得出了插值点选在中间时精度要优于选在端点附近的结论，t值也可放大为，并给出易于计算的新的余项估计式。

The paper introduces Allen's interval algebra and the extension-the INDU network, applies the Heisenberg Uncertainty Principle to the INDU network, and deletes the fifteen basic relations of INDU where the intervals have at least one same endpoints or the same durations.

介绍了Allen的区间代数及其扩展－INDU网络，将Heisenberg不确定性原理应用于INDU网络，并将INDU的25种基本关系中两区间有端点相等或区间段相等的15种关系删除。

Theorem 3 Let be a continuous function on the interval and let be a number between and , then there is at least one number , such that.

定理 3 设函数在闭区间上连续，且在这区间的端点取不同的函数值及，那么，对于与之间的任意一个数，在开区间内至少有一点使。

An algorithm about approximating the inverse function with C\+k constrains is proposed.

提出一种带端点C\+k约束的反函数逼近算法。

Theorem 4 it is not the path of integral but the points and in the locus L that affects the line integral of locus L of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral .several corollaries are derived from the theorems mentioned above.

定理4 势量场沿由坐标原点至圆柱螺线的切线所引垂线的垂足轨迹L的线积分与积分路径无关，只与轨迹L上的取的端点与有关。并由以上定理得到了几个推论。

Second ending point of the line segment.

线段的第二个端点。

First ending point of the line segment.

线段的第一个端点。

Using EMD method, there is bound to be divergent phenomena at the two ends of the upper and lower envelope signal in the data through the three interpolation algorithm, which is end effect. It will affect the quality of EMD decomposition badly, so that the decomposed IMF has no actual physical meaning.

在EMD方法应用中，通过三次条插值算法给出的上、下包络在数据信号的两端不可避免地会出现发散现象，即端点效应问题，会严重影响EMD分解的质量，使分解出的IMF没有实际的物理意义。

A transistor memory cell can be made with any number of terminals.

晶体管存贮单元端点的数量是不受限制的。

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。