pch

[16dcc.git] / conclusion.tex

diff --git a/conclusion.tex b/conclusion.tex
index fcf2bad70df52595a399fd2c4c7e30b4d5fc3cb7..2705043fe2335fd223c705c26e86b2bc2409800a 100644 (file)
--- 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 
 $\Gamma_{\mathcal{P}}(f)$. 
 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
 $\mathsf{N} = 4, 5, 6, 7, 8$.
 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.
 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:
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+%%% TeX-master: "main"
+%%% ispell-dictionary: "american"
+%%% mode: flyspell
+%%% End: