數學挑戰題2010

2010-04-18 2:40 am
For any real value s,t (where s is not equal t), prove that there exists infinitely many real number in (s,t).
更新1:

Can u elaborate more?

回答 (2)

2010-04-18 6:27 am
✔ 最佳答案
Since there are infinitely many real numbers on (0,1) and you can construct a injective function between (0,1) and (s,t). So there are infinitely many real numbers on (s,t) too. Do I answer your question ?
2010-04-18 7:23 am
其實呢題都係我n年前係知識+見到佢,但當時冇人答,咪想now問下人...但答案應該係如何,我都唔知吧...=.=


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