adding some corrections

diff --git a/CHAPITRE_01.tex b/CHAPITRE_01.tex
index 9862386ac34129b75415ed91d1e3c90c269aef8a..8c68324a2308d867a1567dd91081375b487ba80b 100644 (file)
--- a/CHAPITRE_01.tex
+++ b/CHAPITRE_01.tex
@@ -15,7 +15,7 @@
 Referred to the state of the art, specifically Von Neumann report in 1993 \cite{ref50}, most of the software applications are structured as sequential programs.
 The structure of the program code is understandable by the human brain as a series of instructions that
 are executed successively one after the other. For many years until a short time,
 Referred to the state of the art, specifically Von Neumann report in 1993 \cite{ref50}, most of the software applications are structured as sequential programs.
 The structure of the program code is understandable by the human brain as a series of instructions that
 are executed successively one after the other. For many years until a short time,

-with each new generation of microprocessors,  users of  sequential applications have believed that these applications must run faster than previous ones.
+with each new generation of microprocessors,  users of  sequential applications have believed that these applications must run faster over them than previous ones.

 Nowadays, this idea is no longer valid  since  recent releases of  microprocessors have many computing units that are embedded in one chip and  programs are  running  only over one computing unit sequentially.
 Indeed, new applications have significantly improved  their performance over  new architectures in parallel compared to traditional applications.
 In this context,  the aim of improving the performance  of parallel applications is executed simultaneously over all available  computing units. 
 Nowadays, this idea is no longer valid  since  recent releases of  microprocessors have many computing units that are embedded in one chip and  programs are  running  only over one computing unit sequentially.
 Indeed, new applications have significantly improved  their performance over  new architectures in parallel compared to traditional applications.
 In this context,  the aim of improving the performance  of parallel applications is executed simultaneously over all available  computing units.