X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/blobdiff_plain/d69591c41135e899d27072006db6af016df62445..3434a6bb461a09975ace82f172dbf7ea647d882b:/conclusion.tex

diff --git a/conclusion.tex b/conclusion.tex
index fcf2bad..2705043 100644
--- a/conclusion.tex
+++ b/conclusion.tex
@@ -14,11 +14,11 @@ applied here to generate function $f$ with strongly connected
 $\Gamma_{\mathcal{P}}(f)$. 
 The iterated map inside the generator is built by first removing from a 
 $\mathsf{N}$-cube an Hamiltonian path and next 
-adding  a self loop to each vertex. 
-The PRNG can thus be seen as a random walks of length in $\mathsf{P}$
-into  $\mathsf{N}$ this new cube.
-We furthermore have exhibit a bound on the number of iterations 
-that are sufficient to obtain a uniform distribution of the output.
+by adding  a self loop to each vertex. 
+The PRNG can thus be seen as a random walk of length in $\mathsf{P}$
+into  this new $\mathsf{N}$-cube.
+We furthermore have exhibited a bound on the number of iterations 
+that is sufficient to obtain a uniform distribution of the output.
 Finally,  experiments through the  NIST battery have shown that
 the statistical properties are almost established for
 $\mathsf{N} = 4, 5, 6, 7, 8$.
@@ -33,3 +33,10 @@ Conditions allowing the reduction of the stopping-time will be
 investigated too, while other modifications of the hypercube will
 be regarded in order to enlarge the set of known chaotic
 and random iterations.
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "main"
+%%% ispell-dictionary: "american"
+%%% mode: flyspell
+%%% End: