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
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