Timeline for A question on a special type of function
Current License: CC BY-SA 2.5
18 events
| when toggle format | what | by | license | comment | |
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| Mar 3, 2011 at 9:57 | vote | accept | Jose Arnaldo Bebita | ||
| Mar 3, 2011 at 5:28 | history | edited | Jose Arnaldo Bebita |
added 1 tag
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| Mar 2, 2011 at 8:46 | comment | added | Jose Arnaldo Bebita | @Daniel, the motivation is that this is related to the OPN Conjecture. :-D | |
| Mar 2, 2011 at 8:43 | history | edited | Jose Arnaldo Bebita | CC BY-SA 2.5 |
edited in response to the first answer
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| Mar 2, 2011 at 8:41 | comment | added | Jose Arnaldo Bebita | @Gerhard, I only require $x$ to be a square. Thanks for your feedback, though. | |
| Mar 2, 2011 at 8:10 | answer | added | Joe | timeline score: 2 | |
| Mar 2, 2011 at 7:01 | comment | added | Gerhard Paseman | x and y can't both be squares, unless your first inequality has an absolute value. Gerhard "Ask Me About System Design" Paseman, 2011.03.01 | |
| Mar 2, 2011 at 6:51 | comment | added | Daniel Litt | What's the motivation? | |
| Mar 2, 2011 at 6:43 | history | edited | Jose Arnaldo Bebita | CC BY-SA 2.5 |
edited in response to a clarification
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| Mar 2, 2011 at 6:11 | comment | added | Jose Arnaldo Bebita | @Gerry, I won't insist on continuity :-D | |
| Mar 2, 2011 at 6:07 | history | edited | Jose Arnaldo Bebita | CC BY-SA 2.5 |
added another constraint (thanks to Gerhard Paseman)
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| Mar 2, 2011 at 6:05 | comment | added | Jose Arnaldo Bebita | @Gerhard, thanks for pointing that out. Yes, I meant to exclude $y = \sqrt{x}$ as well. Editing my question to reflect that change now. | |
| Mar 2, 2011 at 6:04 | comment | added | Jose Arnaldo Bebita | @Zen, Gerry: The domain of $f$ is over all positive integers, and yes, I meant that my two inequalities held for all possible pairs $(x, y)$. | |
| Mar 2, 2011 at 6:02 | comment | added | Gerhard Paseman | It won't look too good if $y=\sqrt(x)$. I think you need to be more clear about what conditions you want. Gerhard "Zero Is Not Always One" Paseman, 2011.03.01 | |
| Mar 2, 2011 at 6:00 | comment | added | Gerry Myerson | Is $f$ defined just on the positive integers, or on all integers, or on the reals, or what? If the reals, do you insist on continuity? Are your inequalities to hold for one particular pair $x$, $y$, or for all such pairs? Without some clarification, I don't think this is a good question. | |
| Mar 2, 2011 at 5:58 | comment | added | Zen Harper | Are you assuming the inequalities for all (x,y)? Your question currently says just one particular pair, which surely can't be what you meant - because then you can't say anything about $f$ except at the three points $\sqrt{x}, x, y$. | |
| Mar 2, 2011 at 5:32 | history | edited | Jose Arnaldo Bebita | CC BY-SA 2.5 |
added a constraint
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| Mar 2, 2011 at 5:27 | history | asked | Jose Arnaldo Bebita | CC BY-SA 2.5 |