Re: [其他] 複變-open, connect and domain
※ 引述《Qmmmmnn (Qmmmmmmmmm)》之銘言:
: 小弟最近在讀複變,看到這句:
: 「A nonempty open set that is connected is called a domain」
: 一直在想該如何用"domain"這個字的
: 意思去理解這樣的定義,因為不太想
: 用背的...請各位高手幫忙一下!
: 謝謝囉
: 我是看這本書
: Complex Variables and Applications
: By James Ward Brown Ruel V. Churchill
在歐氏空間裡,open and connected會是path connected。
意思就是說,這塊區域裡面任何一個點你都是可以用走的就
走到。所以domain就是你能走到的屬於你的"領土範圍"。
但就是個名字而已。
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