Hi, n -- \ x = x + x + ... + x / i 1 2 n -- i = 1
n = Constant or outer Parameter i = Index only total numbers (1,2,3...) Example: x = 10 1 x = 12 2 x = 14 3 3 -- \ x = x + x + x = 10 + 12 + 14 = 36 / i 1 2 3 -- i = 1 Gerhard -------------------------------- Beam me up... arrgh, no carrier! -------------------------------- >-----Original Message----- >From: Berin Loritsch [mailto:[EMAIL PROTECTED]] >Sent: Thursday, December 13, 2001 4:34 PM >To: [EMAIL PROTECTED] >Subject: Re: Adaptive Caching [was Re: initial checkin of the Scheme >code] > > >Stefano Mazzocchi wrote: > >> Talking about placing too many irons in the fire :) >> > > >Stefano, please forgive my ignorance, as I have an Associates Degree in >Music Recording, and not a traditional CS degree. I haven't had the >higher math classes you and many others have had here. > >I understand Algebra and Trigonometry ok, so if we can simplify these >algorithms into a "pseudo-code" so I can wrap my head around them, I >will be happy to jump in the discussion. As it is now, It's going >over my head. > >I understand the Calculus ideas of functions (i.e. V(r,t)). What throws >me are the Sigmas (I studied Ancient Greek, so I know what the letters are). >I know they are meant to represent sums, or statistical data. I don't know >what the letter above the sigma or below the sigma is supposed to signify. > >If you don't feel up to giving me a quick math lesson so I can grok the >concepts fully, can you point me to a resource where I can teach myself? > >> Thus, given >> >> r := resource >> t := time of the request >> V(r,t) := validity estimation cost >> P(r,t) := production cost when caching is not performed >> Pc(r,t) := production cost when caching is performed >> l(r,t) := lookup cost >> s(r,t) := storage cost >> >> and >> >> I := sequence of invalid requests time [1,n] >> V := sequence of valid request time [1,m] >> >> we have that >> >> n >> -- >> Invalid(r) = \ (V(r,I ) + Pc(r,I ) + s(r,I )) >> / i i i >> -- >> i = 1 >> >> and >> >> m >> -- >> Valid(r) = \ (V(r,I ) + L(r,I )) >> / j j >> -- >> j = 1 >> >> and >> >> n m >> -- -- >> Ptot(r) = \ P(r,I ) + \ P(r,V ) >> / i / j >> -- -- >> i = 1 j = 1 >> > > > > >-- > >"They that give up essential liberty to obtain a little temporary safety > deserve neither liberty nor safety." > - Benjamin Franklin > > >--------------------------------------------------------------------- >To unsubscribe, e-mail: [EMAIL PROTECTED] >For additional commands, email: [EMAIL PROTECTED] > > --------------------------------------------------------------------- To unsubscribe, e-mail: [EMAIL PROTECTED] For additional commands, email: [EMAIL PROTECTED]
