对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。

In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.

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在下降流不变集方法找泛函临界点的定理中，用收缩性质替换P。

In the theorem of finding critical point by invariant sets of descending flow, we replace the condition of p.

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