--- Log opened Wed Sep 13 00:00:50 2006 |
00:55 | | Mahal is now known as MahalOut |
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04:37 | <@Reiver> | VORN |
04:37 | <@Reiver> | (And other mathy geek folks.) |
04:37 | <@Reiver> | http://southernmyst.livejournal.com/8922.html |
04:37 | <@Reiver> | Wee puzzle for yers. |
04:42 | | SouthernMyst [~SouthernM@Nightstar-26801.fv.dl.cox.net] has joined #Code |
04:43 | <@Vornicus-Latens> | weird |
04:43 | | * McMartin fixes a crash bug in UQM. |
04:43 | <@Reiver> | No ideas, Vorny? |
04:43 | < SouthernMyst> | hi yall |
04:43 | <@Vornicus-Latens> | Off the top of my head? no. |
04:43 | <@Vornicus-Latens> | Seeing as I've only looked at it for 15 seconds. |
04:44 | | * SouthernMyst thwaps reiver |
04:44 | < SouthernMyst> | have patience! |
04:44 | <@McMartin> | I have received the Best Bug Report Ever |
04:44 | <@Vornicus-Latens> | SouthernMyst: have you checked the Sloane database? |
04:44 | | * McMartin cackles maniacally |
04:44 | <@McMartin> | Behold, ye mighty, and despair: http://uqm.stack.nl/cgi-bin/bugs/show_bug.cgi?id=911 |
04:45 | < SouthernMyst> | hrm. haven't heard of such a thing. |
04:45 | | * SouthernMyst googles it |
04:45 | <@Vornicus-Latens> | http://www.research.att.com/~njas/sequences/ |
04:46 | | Reiver is now known as ReivOut |
04:47 | <@Vornicus-Latens> | It is the first place to look for information about number sequences. It is nearly exhaustive. |
04:47 | < SouthernMyst> | thanks! |
04:47 | | * SouthernMyst bookmarks it |
04:47 | < SouthernMyst> | alas, it didn't find anything |
04:48 | <@ReivOut> | Have you investigated things like rounding errors? |
04:48 | <@ReivOut> | AKA it may have had truncation of something that was not a whole integer beforehand... |
04:49 | <@ReivOut> | (A lot of gaming systems do that.) |
04:49 | < SouthernMyst> | no, rounding error's not an issue here. |
04:49 | < SouthernMyst> | the blue numbers are the first integer for which the expression is true, for the given values of p. |
04:51 | | * Chalcedon gives Myst a cookie |
04:51 | | * SouthernMyst yays, nroms the cookie |
04:52 | <@Vornicus-Latens> | log(2) * n / p = log(n) |
04:52 | <@Vornicus-Latens> | er |
04:52 | <@Vornicus-Latens> | > |
04:52 | <@Vornicus-Latens> | log(2)/p = log(n)/n |
04:53 | <@Vornicus-Latens> | log2(p) = logn(n) |
04:53 | <@Vornicus-Latens> | cute. |
04:53 | <@Vornicus-Latens> | logn(n) = 1 |
04:54 | <@Vornicus-Latens> | er |
04:54 | | * Chalcedon eyes Vorn. |
04:54 | <@Vornicus-Latens> | ...yeah something's wrong. |
04:56 | | * Vornicus-Latens screwed up something in there. |
04:58 | | * SouthernMyst wanders away to brush up on logs |
05:01 | < SouthernMyst> | wouldn't it be ...2^n > n^p ==> p > log(n)2^n ? |
05:01 | <@Vornicus-Latens> | log(2) * n = log(n) * p <--- take the log of both sides. |
05:02 | <@Vornicus-Latens> | n / log(n) = p / log(2) |
05:02 | <@Vornicus-Latens> | ...ah, that's where I screwed it up. |
05:02 | <@Vornicus-Latens> | the correct form is log(x)/log(n) = logn(x), not x/log(n) = logn(x) |
05:06 | <@Vornicus-Latens> | p = n * log(2) / log(n), p = n / log2(n) |
05:09 | <@Vornicus-Latens> | p * log2(n) = n |
05:10 | <@Vornicus-Latens> | I highly doubt that there is an actual pattern. |
05:29 | | * Vornicus-Latens can't get p dependent on n alone. |
05:30 | <@Vornicus-Latens> | bah |
05:30 | <@Vornicus-Latens> | n dependent on p. |
05:30 | <@Vornicus-Latens> | ...the fact that the function is not 1-to-1 doesn't help tho |
05:34 | < SouthernMyst> | how's it not one-to-one? |
05:34 | | ReivOut is now known as Reiver |
05:36 | <@Vornicus-Latens> | d/dx x/log2(x) = (x * 1/x * ln(2) - log2(x)) / log2(x)^2 |
05:37 | <@Vornicus-Latens> | = (ln(2) - log2(x))/log2(x)^2 |
05:37 | <@Vornicus-Latens> | erp, sign backwards |
05:38 | <@Vornicus-Latens> | = (log2(x) - ln(2))/log2(x)^2 |
05:40 | | * Reiver hrm. It's a dirty log. |
05:40 | <@Vornicus-Latens> | the numerator is 0 when log2(x) = ln(2), as in, when x = 2 * (e / 2) = e |
05:40 | <@Reiver> | (Dirty, filthy logs...) |
05:41 | <@Vornicus-Latens> | therefore, since the derivative is negative below that and positive above that, the function is an upward-pointing u. |
05:41 | <@Vornicus-Latens> | (only, with a really, really long right side) |
05:41 | | * SouthernMyst is still re-teaching herself logs off in the corner |
05:42 | | mode/#code [+vv Shemhazai SouthernMyst] by Reiver |
05:42 | <@Vornicus-Latens> | try figuring out the largest value of p that's less than n = 1.01 |
05:44 | | * Vornicus-Latens has it. It might be a smidge surprising. |
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06:02 | <@Reiver> | I think we give up, Vorny >.> |
06:02 | <@Vornicus-Latens> | evidently |
06:03 | <+SouthernMyst> | my brain hurts. |
06:07 | | You're now known as TheWatcher |
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06:15 | <+SouthernMyst> | thanks for trying, vorny |
06:15 | <+SouthernMyst> | i'll have to sleep on it & look at it another time. |
06:16 | <@Reiver> | (What was the answer, vorny?) |
06:18 | <@Vornicus-Latens> | 70 |
06:21 | <@Reiver> | ...Interesting. :o |
06:32 | <@Vornicus-Latens> | and the closer you get to 1 the higher it goes. |
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10:39 | | You're now known as TheWatcher[wr0k] |
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15:17 | | * ToxicFrog eyebrows at Chalcy. |
15:17 | <@ToxicFrog> | Insomnia |
15:17 | <@ToxicFrog> | ? |
15:22 | <@ReivZzz> | No, Chalcy just has a terrible ping. |
15:22 | <@ReivZzz> | The previous green was her battling valiantly against nickserv, however. |
15:23 | <@ReivZzz> | (Ironic that I should be the one to be correcting this statement at 2:30 AM) |
15:23 | <@ReivZzz> | (ni) |
15:23 | <@TheWatcher[wr0k]> | Night |
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16:07 | <@ToxicFrog> | Reiv: I meant the constant switching between Chalcedon and ChalcyZzz. |
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17:17 | | * EvilDarkLord argh. His dual-boot system has been hijacked by Windows o_O |
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17:32 | <@Vornicus> | Hm. How do I get the password hash for a given password on linux? |
18:18 | <@jerith> | Vornicus: crypt() perchance? |
18:20 | <@Vornicus> | ah, it is an API call |
18:29 | | You're now known as TheWatcher |
18:30 | <@jerith> | I think there may be a commandline versio somewhere. |
18:30 | <@Vornicus> | THat's what I'm looking for, and I can't find it. |
18:31 | <@Vornicus> | meh |
18:31 | <@jerith> | You may need to install it or somesuch. :-/ |
19:45 | <@Vornicus> | narg. I hate waiting for people to get back to me via email. |
19:46 | <@jerith> | Tell me about it. |
19:46 | <@jerith> | Especially when they're on the other side of the world and there's no way to kick their asses. |
19:47 | <@Vornicus> | This guy is 40 miles away and I can't go kick his ass. |
19:48 | <@jerith> | Ah, but you could. If it became necessary. |
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20:48 | <@ToxicFrog> | Vornicus: some distros have a command line version, some don't. For those that don't, it's trivially easy to make one. |
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20:53 | <@Vornicus> | eh |
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--- Log closed Thu Sep 14 00:00:50 2006 |