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datovky
ds2-notes
Commits
6c223d27
Commit
6c223d27
authored
Sep 07, 2021
by
Filip Stedronsky
Browse files
Succinct: rearrange section headings
parent
680f8888
Changes
1
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fs-succinct/succinct.tex
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6c223d27
...
...
@@ -202,7 +202,7 @@ for those too.
For the second pass, this is trivial, as
$
(
B
+
i
)(
B
-
i
)
=
B
^
2
-
i
^
2
\le
B
^
2
$
.
\section
{
Succinct representation of arbitrary-alphabet string
s
}
\section
{
Mixers as a building block for succinct structure
s
}
\subsection
{
A reinterpretation of the SOLE encoding
}
...
...
@@ -334,7 +334,7 @@ as promised. Note that this holds for any value of $Y$.
However, we cannot freely set
$
C
$
, as we have already decided that
$
C :
=
\lfloor
2
^
M
/
Y
\rfloor
$
.
Instead, we need to set a value for
$
M
$
that gives us the right
$
C
$
.
Now we are almost done.
The whole mixer parameter selection process could be as follows
The whole mixer parameter selection process could be as follows
(it may be useful to refer back to fig.
\figref
{
mixer
}
):
\tightlist
{
n.
}
\:
We are given
$
X
$
,
$
Y
$
as parameters.
...
...
@@ -346,5 +346,6 @@ All the inequalities required for mixer existence are satisfied and based on the
above the parameters satisfy what our lemma promised.
\qed
\section
{
Succinct representation of arbitrary-alphabet strings
}
\endchapter
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