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wu :: forums    riddles    putnam exam (pure math) (Moderators: SMQ, Eigenray, towr, Grimbal, Icarus, william wu)    sqrt(2), sqrt(3), sqrt(5) « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: sqrt(2), sqrt(3), sqrt(5)  (Read 817 times) Aryabhatta Uberpuzzler     Gender: Posts: 1321 sqrt(2), sqrt(3), sqrt(5)   « on: Jun 17th, 2007, 11:17am » Quote Modify Given an e > 0, show that there exist integers x,y,z (dependent on e, of course) such that:   0 < |x2 + y3 + z5| < e « Last Edit: Jun 17th, 2007, 1:16pm by Aryabhatta » IP Logged Obob Senior Riddler     Gender: Posts: 489 Re: sqrt(2), sqrt(3), sqrt(5)   « Reply #1 on: Jun 17th, 2007, 11:22am » Quote Modify Hint: You can always pick z=0. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs => putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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