开区间

Based on the eight Chinese traditional yin and yang contradiction categories to analyze among the open and close areas in mathematics to achieve the triple unity of opposite composing relation of identical,resemble,diversity and contrary,the four basic types of logical inference.

用中华传统8大阴阳矛盾范畴分析数学中的开闭区间，得出相同、相似、相异、相反这4大逻辑推理基础类型间存在着三极对立统一的组成关系，进而提出涉及此组成关系的逻辑推理基础类型的互蕴公理及其描述内涵的反演算和逻辑外延的非演算。

Which make it more expedient to study general character of function defined on open interval by means of derivative.

使得利用导数研究开区间上函数的整体性态更为方便。

For example, the open interval (0,1) does not have a least element : If ''x'' is in (0,1), then so is ''x''/2, and ''x''/2 is always strictly smaller than ''x''.

例如，开区间(0，1)没有最小元素：如果''x''在(0，1)中，则''x''/2 也在其中，而''x''/2 总是严格的小于''x''。

Let be a function whose st derivative exists for each in an open interval containing.

如果函数在含有的某个开区间内具有直到阶导数，则对任意，有

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

The Generalized Kolmogorov Probability generalized the 1st Kolmogorov's axiom and allows the probability values to be within the whole open real interval of (-infinite,+infinite).

广义的柯尔莫果洛夫概率(Generalized Kolmogorov Probability)推广了柯尔莫果洛夫概率三公理的第一公理：概率可在开区间范围内取值。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了