本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。

In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.

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讨论泰勒中值定理中中值点的连续性及可导性问题，给出泰勒中值定理中中值点连续及可导的充分条件，同时给出计算其导数的公式。

The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.

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他们不需要打碎颜料和画布；他们超越了这一点，打碎了整个逻辑思维的连续性。

They did not need to smash paint and canvas; they went beyond this to smash the whole continuity of logical thought.

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That's why we can't have a continuum of energy, we actually have those quantized points.

这就是为什么，我们没有连续的能谱，而是，量子化的点。

麻省理工公开课 - 化学原理课程节选

You could take a continuous path, where you have an infinite equilibrium points in between the two, a smooth path, whereyoudrop pressureand temperature simultaneosly in little increments.

你可以选择光滑的连续路径，在初末态间有,无数个平衡态的点，压强和温度同时一点,一点地下降。

麻省理工公开课 - 热力学与动力学课程节选