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Unread 21 Feb 2015, 13:32   #1
Tietäjä
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Join Date: May 2001
Location: Finland
Posts: 3,991
Tietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better placeTietäjä single handedly makes these forums a better place
so here's what irks me

consider you have a memory storage, say a hard disk
and an expected life span of a given amount of time t
the exact estimate of t is inprecise

you are to optimize the memory usage, as with the following constraints

1) there are vital programs the existance of which is to be ensured at all times
2) the storage always needs to have sufficient empty storage to store new stuff over the period t
3) unnecessary information cannot be deleted at will; instead, un-used programs that are not class 1) are only removed through expiry processes (consider half-life)
4) there is no way of improving compression
5) input stream of new information can be made selective as desired, as a function of any of the above constraints but not of any external item

see by the time you've reached halfway of the storage, it's full of crap you can't wait to get rid of but you can't just ****ing delete

because of constraint 2), the input stream 5) must ultimately be a function of the empty storage space (and a monotonously decreasing a function).

because of constraint 3), the higher the early age t-n input stream is, the steeper the (decreasing) input stream curve must be

now at the hyperbole situation of t being infinite, the input stream function can only equal the function of half-lifes of all previously storaged input, excluding those constrained by 1)

this yields a system that is doomed to self-destruct asymptotically, or at least become more or less paralyzed (say, as a random process of input streams fills the disk with items with higher and higher half-lives; by this i mean that since shorter half-life information decays faster and is replaced by say normally distributed half-life the half-lifes of the system will gradually increase), the input stream asymptotically approaches zero, since the half-lifes asymptotically approach infinite; this is of course only if there are items in the input stream with half-lifes approaching infinity, because ultimately all the information in the storage will have either half-lifes approaching infinity or are constrained)

its a vegetable
doomed to become one
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"Oh, wretched race of a day, children of chance and misery, why do ye compel me to say to you what it were most expedient for you not to hear? What is best of all is for ever beyond your reach: not to be born, not to be, to be nothing. The second best for you, however, is soon to die". Silenus, tutor to Dionysos, speaking to King Midas.
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