New elementary, self-contained proofs are presented for the topological and the smooth classification theorems of linear flows on finite-dimensional normed spaces. The arguments, and the examples that accompany them, highlight the fundamental roles of linearity and smoothness more clearly than does the existing literature.

中文翻译：

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关于有限维线性流的分类

针对有限维范空间上线性流的拓扑和光滑分类定理，提出了新的基本的自包含证明。与现有文献相比，这些论点和随附的示例更加清楚地说明了线性和平滑度的基本作用。