From Hilbert's Superposition Problem to Dynamical Systems

From Hilbert's Superposition Problem to Dynamical Systems
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从希尔伯特的叠加问题到动力系统

DOI:
10.1080/00029890.2004.11920122
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发表时间:
2004
期刊:
The American Mathematical Monthly
影响因子:
--
通讯作者:
V. Arnold
V. Arnold
中科院分区:
--
文献类型:
--
作者:
V. Arnold

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今天我将试着解释我所研究的课题的多样性。事实上,我从一开始就遵循一条路线,本质上有一个问题我一生都在研究。这个事实连我自己都觉得奇怪,但我还是要解释一下:当你采集蘑菇时,你只能看到蘑菇的上部。但如果你是一个真菌学家,你就知道真实的蘑菇是在泥土里。下面有一个巨大的东西,你只能看到水果,你吃的那部分。
Today I will try to explain the diversity of subjects I have worked on. In fact, I have followed one line from the very beginning, and there has been essentially one problem I have worked on all my life. This fact seems strange even to me, but I will try to explain it. When you are collecting mushrooms, you see only the upper part of the mushroom. But if you are a mycologist, you know that the real mushroom is in the earth. There's an enormous thing down there, and you just see the fruit, the part that you eat.