Last Updated：2025/11/28
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In my analysis class, the professor illustrated the Heine-Borel theorem by showing that the closed interval [0,1] is compact because it is closed and bounded.
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In my analysis class, the professor illustrated the Heine-Borel theorem by showing that the closed interval [0,1] is compact because it is closed and bounded.
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Related words
Heine-Borel theorem
Proper noun
Japanese Meaning
数学解析における定理で、n次元ユークリッド空間内の任意の部分集合がコンパクトであるための必要十分条件として、その集合が閉集合であり、かつ有界であることを示す定理です。
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