Re: questions on HW #3

Michael W. Berry (berry@cs.utk.edu)
Sat, 14 Oct 1995 14:33:03 -0400


>
> Dr. Berry,
>
> I am a bit confused on the first problem of the new HW.
>
> 1) for prob. (1a) "the sparse bit vector" referred to is the block
> signature mentioned at the introduction to the problem ("Let w
> denote the probability that a bit is 1 in a block signature, ...")
> Correct?

Yes, that is correct.
>
> 2) for prob. (1b), the "block signature" referred to in THIS portion
> of the problem is actually the compressed version, that is, AFTER the
> block signature of Fig. 4.4 is compressed to Fig. 4.7. Correct?

Yes, that is also correct.
>
> Also, I (and possibly most of the class) may need an extra hint
> for (1b). Assuming that the size of the block signature refers to
> that after compression ...

Glenn & others,
The function S(b) you seek has 3 additive terms with one of the terms
being

ceil(F/b), ciel:=ceiling operator. You need to take into
account all 3 parts of the BC method and obtain something like

S(b) = ceil(F/b) + _________ + __________, where 2 terms are
missing.

Hope this helps,
Mike
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