悬关,求证明(简单代数)

灌水区

水星湖 @ 2023-12-18 23:18:23

求证:$\frac{2n+1-\lfloor \sqrt {8m+1}\rfloor}{2} = n-\lfloor \sqrt{2m}\rfloor$ .

by Loser_King @ 2023-12-18 23:32:51

1-\lfloor\sqrt{8m+1}\rfloor=-\lfloor\sqrt{8m}\rfloor \lfloor\sqrt{4k^2+4k+1}\rfloor-1=2k=\lfloor\sqrt{4k^2+4k}\rfloor

理清楚就完了吧


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