[數撚圍爐區] abc conjecture is still a conjecture (3)
吾不會數學
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其實一直都唔太明Cantor set點解要咁寫
同咁
有咩分別? 為咗show Cantor set is closed?
同埋有條問題唔明
Show that it is impossible to write
where for each n ∈ N, F_n is a closed set containing no nonempty open intervals.
寫做咁
點解又唔得?
同咁
有咩分別? 為咗show Cantor set is closed?同埋有條問題唔明
Show that it is impossible to write
where for each n ∈ N, F_n is a closed set containing no nonempty open intervals.寫做咁
點解又唔得?1. set 無 "limit"
2. F_n 同 [-n, n] 唔同架喎, 除非你證到果兩個union係一樣
2. F_n 同 [-n, n] 唔同架喎, 除非你證到果兩個union係一樣
F_n 同 [-n, n] 點唔同? [-n,n]都係closed唔係咩?
closed set同closed set containing no nonempty open intervals嘅分別
即係single point set?
no
cantor set係例子
cantor set係例子
between give you a hint: show that the lebesgue measure of F_n is zero for all n.
Abbott本嘢冇教Lebesgue measure
er...咁諗下 R\F_n 可以係D乜...然後數下有幾多點 
咦原來用lebesgue measure好似用左牛刀
中途都會證到我第一行ge野
咦原來用lebesgue measure好似用左牛刀
中途都會證到我第一行ge野er...咁諗下 R\F_n 可以係D乜...然後數下F_n可以有幾多點Abbott本嘢冇教Lebesgue measurenobetween give you a hint: show that the lebesgue measure of F_n is zero for all n.
cantor set係例子
咦原來用lebesgue measure好似用左牛刀
即係要搵到佢uncountable方法？
即係你要證 F_n 係countable, 但\mathbb{R} is uncountable 