ajout espace bib

[rairo15.git] / prng.tex

diff --git a/prng.tex b/prng.tex
index 8b2f78fc0e8b31978a1aecd93a1b58c949f966e6..5025b4eca7a9d1115ab01749ab0afe33f06660bf 100644 (file)
--- a/prng.tex
+++ b/prng.tex
@@ -86,11 +86,11 @@ Function $f$ & $f(x)$, for $x$ in $(0,1,2,\hdots,2^n-1)$ & $\mathsf{N}$ & $b$
 &$E[\tau]$\\ 
 \hline
 %%%%% n= 4
 &$E[\tau]$\\ 
 \hline
 %%%%% n= 4

-$\textcircled{a}$&[13,10,9,14,3,11,1,12,15,4,7,5,2,6,0,8]&4&64&\\
+$\textcircled{a}$&[13,10,9,14,3,11,1,12,15,4,7,5,2,6,0,8]&4&64&154\\

 \hline
 %%%%% n= 5
 $\textcircled{b}$& 
 \hline
 %%%%% n= 5
 $\textcircled{b}$& 

-[29, 22, 25, 30, 19, 27, 24, 16, 21, 6, 5, 28, 23, 26, 1, 17, & 5 & 78 & \\
+[29, 22, 25, 30, 19, 27, 24, 16, 21, 6, 5, 28, 23, 26, 1, 17, & 5 & 78 & 236\\

 &
  31, 12, 15, 8, 10, 14, 13, 9, 3, 2, 7, 20, 11, 18, 0, 4]
 &&&\\
 &
  31, 12, 15, 8, 10, 14, 13, 9, 3, 2, 7, 20, 11, 18, 0, 4]
 &&&\\


@@ -104,7 +104,7 @@ $\textcircled{b}$&
 &&&\\
 $\textcircled{c}$&
  26, 25, 30, 19, 27, 17, 28, 31, 20, 23, 21, 18, 22, 16, 24, 13, 
 &&&\\
 $\textcircled{c}$&
  26, 25, 30, 19, 27, 17, 28, 31, 20, 23, 21, 18, 22, 16, 24, 13, 

-&6&88&\\
+&6&88&335\\

 &
 12, 29, 8, 43, 14, 41, 0, 5, 38, 4, 6, 11, 3, 9, 32]
 &&&\\
 &
 12, 29, 8, 43, 14, 41, 0, 5, 38, 4, 6, 11, 3, 9, 32]
 &&&\\


@@ -121,7 +121,7 @@ $\textcircled{c}$&
 &&&\\
 $\textcircled{d}$& 
 69, 20, 19, 114, 17, 112, 77, 76, 13, 108, 74, 10, 9, 73, 67, 66,
 &&&\\
 $\textcircled{d}$& 
 69, 20, 19, 114, 17, 112, 77, 76, 13, 108, 74, 10, 9, 73, 67, 66,

-&7 & 99&\\
+&7 & 99&450\\

 
 & 
  101, 100, 75, 82, 97, 0, 127, 54, 57, 62, 51, 59, 56, 48, 53, 38,
 
 & 
  101, 100, 75, 82, 97, 0, 127, 54, 57, 62, 51, 59, 56, 48, 53, 38,


@@ -171,7 +171,7 @@ $\textcircled{d}$&
 &&&\\
 $\textcircled{e}$&
 8, 7, 198, 197, 4, 195, 2, 161, 160, 255, 124, 109, 108, 122,
 &&&\\
 $\textcircled{e}$&
 8, 7, 198, 197, 4, 195, 2, 161, 160, 255, 124, 109, 108, 122,

-&8&110&\\
+&8&110&582\\

 &
  126, 125, 112, 117, 114, 116, 100, 123, 98, 97, 113, 79, 106,
 &&&\\
 &
  126, 125, 112, 117, 114, 116, 100, 123, 98, 97, 113, 79, 106,
 &&&\\