code logs -> 2006 -> Wed, 13 Sep 2006< code.20060912.log - code.20060914.log >
--- 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.
05:51 Chalcy [~Chalceon@Nightstar-869.bitstream.orcon.net.nz] has joined #code
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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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10:14 Reiver is now known as ReivOut
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10:23 You're now known as theWatcher[afk]
10:39 You're now known as TheWatcher[wr0k]
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12:14 Mahal is now known as MahalZz
13:48 ChalcyZzz [~Chalceon@Nightstar-869.bitstream.orcon.net.nz] has quit [Ping Timeout]
15:14 Reiver is now known as ReivZzz
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
15:44 SouthernMyst [~SouthernM@Nightstar-26801.fv.dl.cox.net] has joined #Code
16:07
<@ToxicFrog>
Reiv: I meant the constant switching between Chalcedon and ChalcyZzz.
16:32 You're now known as TheWatcher
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17:17 * EvilDarkLord argh. His dual-boot system has been hijacked by Windows o_O
17:24 Vornicus [~vorn@Nightstar-18307.slkc.qwest.net] has joined #code
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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.
20:16 SouthernMyst [~SouthernM@Nightstar-26801.fv.dl.cox.net] has quit [Quit: "Those who dance are considered insane by those who can't hear the music." -- George Carlin]
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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.
20:51 ChalcyZzz [~Chalceon@Nightstar-869.bitstream.orcon.net.nz] has joined #code
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20:53
<@Vornicus>
eh
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--- Log closed Thu Sep 14 00:00:50 2006
code logs -> 2006 -> Wed, 13 Sep 2006< code.20060912.log - code.20060914.log >