\documentclass{article}
\usepackage[affil-it]{authblk}
\usepackage{graphicx}
\usepackage[space]{grffile}
\usepackage{latexsym}
\usepackage{textcomp}
\usepackage{longtable}
\usepackage{tabulary}
\usepackage{booktabs,array,multirow}
\usepackage{amsfonts,amsmath,amssymb}
\providecommand\citet{\cite}
\providecommand\citep{\cite}
\providecommand\citealt{\cite}
\usepackage{url}
\usepackage{hyperref}
\hypersetup{colorlinks=false,pdfborder={0 0 0}}
\usepackage{etoolbox}
\makeatletter
\patchcmd\@combinedblfloats{\box\@outputbox}{\unvbox\@outputbox}{}{%
  \errmessage{\noexpand\@combinedblfloats could not be patched}%
}%
\makeatother
% You can conditionalize code for latexml or normal latex using this.
\newif\iflatexml\latexmlfalse
\AtBeginDocument{\DeclareGraphicsExtensions{.pdf,.PDF,.eps,.EPS,.png,.PNG,.tif,.TIF,.jpg,.JPG,.jpeg,.JPEG}}

\usepackage[utf8]{inputenc}
\usepackage[english]{babel}

% Document LaTeX based on Alphabet by Guy Lebesnerai
% Ali Mohammad-Djafari (janvier 2013)
% Objectif : Definitions for bold Math writing
%
% b pour bold italique : 		\ab \Ab
% c pour cursif :				\Ac
% Grec italique: 				\alphab \Sigmab
% bt pour \widetilde\bold: 		\abt \Abt \alphabt \Sigmabt
% bh pour \widehat\bold:   		\abh \Abh \alphabh \Sigmabh

%-------------------------------------------
% DEFINITIONS PRELIMINAIRES 
\def\XS{\xspace}
%\def\bm#1{\mbox{\boldmath $#1$}}
\def\bm#1{{\textbf #1}}
%-------------------------------------------
% ALPHABET GRAS ITALIQUE, taille adaptative
\def\Ab{{\bm{A}}\XS}  \def\ab{{\bm{a}}\XS}
\def\Bb{{\bm{B}}\XS}  \def\bb{{\bm{b}}\XS}
\def\Cb{{\bm{C}}\XS}  \def\cb{{\bm{c}}\XS}
\def\Db{{\bm{D}}\XS}  \def\db{{\bm{d}}\XS}
\def\Eb{{\bm{E}}\XS}  \def\eb{{\bm{e}}\XS}
\def\Fb{{\bm{F}}\XS}  \def\fb{{\bm{f}}\XS}
\def\Gb{{\bm{G}}\XS}  \def\gb{{\bm{g}}\XS}
\def\Hb{{\bm{H}}\XS}  \def\hb{{\bm{h}}\XS}
\def\Ib{{\bm{I}}\XS}  \def\ib{{\bm{i}}\XS}
\def\Jb{{\bm{J}}\XS}  \def\jb{{\bm{j}}\XS}
\def\Kb{{\bm{K}}\XS}  \def\kb{{\bm{k}}\XS}
\def\Lb{{\bm{L}}\XS}  \def\lb{{\bm{l}}\XS}
\def\Mb{{\bm{M}}\XS}  \def\mb{{\bm{m}}\XS}
\def\Nb{{\bm{N}}\XS}  \def\nb{{\bm{n}}\XS}
\def\Ob{{\bm{O}}\XS}  \def\ob{{\bm{o}}\XS}
\def\Pb{{\bm{P}}\XS}  \def\pb{{\bm{p}}\XS}
\def\Qb{{\bm{Q}}\XS}  \def\qb{{\bm{q}}\XS}
\def\Rb{{\bm{R}}\XS}  \def\rb{{\bm{r}}\XS}
\def\Sb{{\bm{S}}\XS}  \def\sb{{\bm{s}}\XS}
\def\Tb{{\bm{T}}\XS}  \def\tb{{\bm{t}}\XS}
\def\Ub{{\bm{U}}\XS}  \def\ub{{\bm{u}}\XS}
\def\Vb{{\bm{V}}\XS}  \def\vb{{\bm{v}}\XS}
\def\Wb{{\bm{W}}\XS}  \def\wb{{\bm{w}}\XS}
\def\Xb{{\bm{X}}\XS}  \def\xb{{\bm{x}}\XS}
\def\Yb{{\bm{Y}}\XS}  \def\yb{{\bm{y}}\XS}
\def\Zb{{\bm{Z}}\XS}  \def\zb{{\bm{z}}\XS}

% ALPHABET CURSIF MAJUSCULE, taille adaptative
% Cursif,               % Cursif gras
\def\Ac{{\scu{A}}\XS}   \def\Acb{{\scb{A}}\XS}
\def\Bc{{\scu{B}}\XS}   \def\Bcb{{\scb{B}}\XS}
\def\Cc{{\scu{C}}\XS}   \def\Ccb{{\scb{C}}\XS}
\def\Dc{{\scu{D}}\XS}   \def\Dcb{{\scb{D}}\XS}
\def\Ec{{\scu{E}}\XS}   \def\Ecb{{\scb{E}}\XS}
\def\Fc{{\scu{F}}\XS}   \def\Fcb{{\scb{F}}\XS}
\def\Gc{{\scu{G}}\XS}   \def\Gcb{{\scb{G}}\XS}
\def\Hc{{\scu{H}}\XS}   \def\Hcb{{\scb{H}}\XS}
\def\Ic{{\scu{I}}\XS}   \def\Icb{{\scb{I}}\XS}
\def\Jc{{\scu{J}}\XS}   \def\Jcb{{\scb{J}}\XS}
\def\Kc{{\scu{K}}\XS}   \def\Kcb{{\scb{K}}\XS}
\def\Lc{{\scu{L}}\XS}   \def\Lcb{{\scb{L}}\XS}
\def\Mc{{\scu{M}}\XS}   \def\Mcb{{\scb{M}}\XS}
\def\Nc{{\scu{N}}\XS}   \def\Ncb{{\scb{N}}\XS}
\def\Oc{{\scu{O}}\XS}   \def\Ocb{{\scb{O}}\XS}
\def\Pc{{\scu{P}}\XS}   \def\Pcb{{\scb{P}}\XS}
\def\Qc{{\scu{Q}}\XS}   \def\Qcb{{\scb{Q}}\XS}
\def\Rc{{\scu{R}}\XS}   \def\Rcb{{\scb{R}}\XS}
\def\Sc{{\scu{S}}\XS}   \def\Scb{{\scb{S}}\XS}
\def\Tc{{\scu{T}}\XS}   \def\Tcb{{\scb{T}}\XS}
\def\Uc{{\scu{U}}\XS}   \def\Ucb{{\scb{U}}\XS}
\def\Vc{{\scu{V}}\XS}   \def\Vcb{{\scb{V}}\XS}
\def\Wc{{\scu{W}}\XS}   \def\Wcb{{\scb{W}}\XS}
\def\Xc{{\scu{X}}\XS}   \def\Xcb{{\scb{X}}\XS}
\def\Yc{{\scu{Y}}\XS}   \def\Ycb{{\scb{Y}}\XS}
\def\Zc{{\scu{Z}}\XS}   \def\Zcb{{\scb{Z}}\XS}

% ALPHABET GREC GRAS italique, taille adaptative
\def\alphab{{\bmm{\alpha}}\XS}
\def\betab{{\bmm{\beta}}\XS}
\def\gammab{{\bmm{\gamma}}\XS}      \def\Gammab{{\bmm{\Gamma}}\XS}
\def\deltab{{\bmm{\delta}}\XS}      \def\Deltab{{\bmm{\Delta}}\XS}
\def\epsilonb{{\bmm{\epsilon}}\XS}
\def\varepsilonb{{\bmm{\varepsilon}}\XS}
\def\etab{{\bmm{\eta}}\XS}
\def\thetab{{\bmm{\theta}}\XS}      \def\Thetab{{\bmm{\Theta}}\XS}
\def\varthetab{{\bmm{\vartheta}}\XS}
\def\iotab{{\bmm{\iota}}\XS}
\def\kappab{{\bmm{\kappa}}\XS}
\def\varkappab{{\bmm{\varkappa}}\XS}
\def\lambdab{{\bmm{\lambda}}\XS}     \def\Lambdab{{\bmm{\Lambda}}\XS}
\def\mub{{\bmm{\mu}}\XS}
\def\nub{{\bmm{\nu}}\XS}
\def\xib{{\bmm{\xi}}\XS}         		\def\Xib{{\bmm{\Xi}}\XS}
\def\pib{{\bmm{\pi}}\XS}         		\def\Pib{{\bmm{\Pi}}\XS}
\def\varpib{{\bmm{\varpi}}\XS}
\def\rhob{{\bmm{\rho}}\XS}
\def\varrhob{{\bmm{\varrho}}\XS}
\def\sigmab{{\bmm{\sigma}}\XS}      	\def\Sigmab{{\bmm{\Sigma}}\XS}
\def\varsigmab{{\bmm{\varsigma}}\XS}   \def\Varsigmab{{\bmm{\Varsigma}}\XS}
\def\phib{{\bmm{\phi}}\XS}        		\def\Phib{{\bmm{\Phi}}\XS}
\def\varphib{{\bmm{\varphi}}\XS}
\def\chib{{\bmm{\chi}}\XS}
\def\psib{{\bmm{\psi}}\XS}        		\def\Psib{{\bmm{\Psi}}\XS}
\def\omegab{{\bmm{\omega}}\XS}      	\def\Omegab{{\bmm{\Omega}}\XS}
\def\taub{{\bmm{\tau}}\XS}
\def\upsilonb{{\bmm{\upsilon}}\XS}   	\def\Upsilonb{{\bmm{\Upsilon}}\XS}
\def\zetab{{\bmm{\zeta}}\XS}

%\widehat
\def\Ah{{\widehat{A}}\XS}  \def\ah{{\widehat{a}}\XS}
\def\Bh{{\widehat{B}}\XS}  \def\bh{{\widehat{b}}\XS}
\def\Ch{{\widehat{C}}\XS}  \def\ch{{\widehat{c}}\XS}
\def\Dh{{\widehat{D}}\XS}  \def\dh{{\widehat{d}}\XS}
\def\Eh{{\widehat{E}}\XS}  \def\eh{{\widehat{e}}\XS}
\def\Fh{{\widehat{F}}\XS}  \def\fh{{\widehat{f}}\XS}
\def\Gh{{\widehat{G}}\XS}  \def\gh{{\widehat{g}}\XS}
\def\Hh{{\widehat{H}}\XS}  \def\hh{{\widehat{h}}\XS}
\def\Ih{{\widehat{I}}\XS}  \def\ih{{\widehat{i}}\XS}
\def\Jh{{\widehat{J}}\XS}  \def\jh{{\widehat{j}}\XS}
\def\Kh{{\widehat{K}}\XS}  \def\kh{{\widehat{k}}\XS}
\def\Lh{{\widehat{L}}\XS}  \def\lh{{\widehat{l}}\XS}
\def\Mh{{\widehat{M}}\XS}  \def\mh{{\widehat{m}}\XS}
\def\Nh{{\widehat{N}}\XS}  \def\nh{{\widehat{n}}\XS}
\def\Oh{{\widehat{O}}\XS}  \def\oh{{\widehat{o}}\XS}
\def\Ph{{\widehat{P}}\XS}  \def\ph{{\widehat{p}}\XS}
\def\Qh{{\widehat{Q}}\XS}  \def\qh{{\widehat{q}}\XS}
\def\Rh{{\widehat{R}}\XS}  \def\rh{{\widehat{r}}\XS}
\def\Sh{{\widehat{S}}\XS}  \def\sh{{\widehat{s}}\XS}
\def\Th{{\widehat{T}}\XS}  \def\th{{\widehat{t}}\XS}
\def\Uh{{\widehat{U}}\XS}  \def\uh{{\widehat{u}}\XS}
\def\Vh{{\widehat{V}}\XS}  \def\vh{{\widehat{v}}\XS}
\def\Wh{{\widehat{W}}\XS}  \def\wh{{\widehat{w}}\XS}
\def\Xh{{\widehat{X}}\XS}  \def\xh{{\widehat{x}}\XS}
\def\Yh{{\widehat{Y}}\XS}  \def\yh{{\widehat{y}}\XS}
\def\Zh{{\widehat{Z}}\XS}  \def\zh{{\widehat{z}}\XS}

%\widetilde
%\def\At{{\widetilde{A}}\XS}  \def\at{{\widetilde{a}}\XS}
\def\Qt{{\widetilde{Q}}\XS}  \def\qt{{\widetilde{q}}\XS}
\def\Zt{{\widetilde{Z}}\XS}  \def\zt{{\widetilde{z}}\XS}

%\widetilde\bold
\def\Abt{{\widetilde{\Ab}}\XS}  \def\abt{{\widetilde{\ab}}\XS}
\def\Bbt{{\widetilde{\Bb}}\XS}  \def\bbt{{\widetilde{\bb}}\XS}
\def\Cbt{{\widetilde{\Cb}}\XS}  \def\cbt{{\widetilde{\cb}}\XS}
\def\Dbt{{\widetilde{\Db}}\XS}  \def\dbt{{\widetilde{\db}}\XS}
\def\Ebt{{\widetilde{\Eb}}\XS}  \def\ebt{{\widetilde{\eb}}\XS}
\def\Fbt{{\widetilde{\Fb}}\XS}  \def\fbt{{\widetilde{\fb}}\XS}
\def\Gbt{{\widetilde{\Gb}}\XS}  \def\gbt{{\widetilde{\gb}}\XS}
\def\Hbt{{\widetilde{\Hb}}\XS}  \def\hbt{{\widetilde{\hb}}\XS}
\def\Ibt{{\widetilde{\Ib}}\XS}  \def\ibt{{\widetilde{\ib}}\XS}
\def\Jbt{{\widetilde{\Jb}}\XS}  \def\jbt{{\widetilde{\jb}}\XS}
\def\Kbt{{\widetilde{\Kb}}\XS}  \def\kbt{{\widetilde{\kb}}\XS}
\def\Lbt{{\widetilde{\Lb}}\XS}  \def\lbt{{\widetilde{\lb}}\XS}
\def\Mbt{{\widetilde{\Mb}}\XS}  \def\mbt{{\widetilde{\mb}}\XS}
\def\Nbt{{\widetilde{\Nb}}\XS}  \def\nbt{{\widetilde{\nb}}\XS}
\def\Obt{{\widetilde{\Ob}}\XS}  \def\obt{{\widetilde{\ob}}\XS}
\def\Pbt{{\widetilde{\Pb}}\XS}  \def\pbt{{\widetilde{\pb}}\XS}
\def\Qbt{{\widetilde{\Qb}}\XS}  \def\qbt{{\widetilde{\qb}}\XS}
\def\Rbt{{\widetilde{\Rb}}\XS}  \def\rbt{{\widetilde{\rb}}\XS}
\def\Sbt{{\widetilde{\Sb}}\XS}  \def\sbt{{\widetilde{\sb}}\XS}
\def\Tbt{{\widetilde{\Tb}}\XS}  \def\tbt{{\widetilde{\tb}}\XS}
\def\Ubt{{\widetilde{\Ub}}\XS}  \def\ubt{{\widetilde{\ub}}\XS}
\def\Vbt{{\widetilde{\Vb}}\XS}  \def\vbt{{\widetilde{\vb}}\XS}
\def\Wbt{{\widetilde{\Wb}}\XS}  \def\wbt{{\widetilde{\wb}}\XS}
\def\Xbt{{\widetilde{\Xb}}\XS}  \def\xbt{{\widetilde{\xb}}\XS}
\def\Ybt{{\widetilde{\Yb}}\XS}  \def\ybt{{\widetilde{\yb}}\XS}
\def\Zbt{{\widetilde{\Zb}}\XS}  \def\zbt{{\widetilde{\zb}}\XS}

%\widehat\bold
\def\Abh{{\widehat{\Ab}}\XS}  \def\abh{{\widehat{\ab}}\XS}
\def\Bbh{{\widehat{\Bb}}\XS}  \def\bbh{{\widehat{\bb}}\XS}
\def\Cbh{{\widehat{\Cb}}\XS}  \def\cbh{{\widehat{\cb}}\XS}
\def\Dbh{{\widehat{\Db}}\XS}  \def\dbh{{\widehat{\db}}\XS}
\def\Ebh{{\widehat{\Eb}}\XS}  \def\ebh{{\widehat{\eb}}\XS}
\def\Fbh{{\widehat{\Fb}}\XS}  \def\fbh{{\widehat{\fb}}\XS}
\def\Gbh{{\widehat{\Gb}}\XS}  \def\gbh{{\widehat{\gb}}\XS}
\def\Hbh{{\widehat{\Hb}}\XS}  \def\hbh{{\widehat{\hb}}\XS}
\def\Ibh{{\widehat{\Ib}}\XS}  \def\ibh{{\widehat{\ib}}\XS}
\def\Jbh{{\widehat{\Jb}}\XS}  \def\jbh{{\widehat{\jb}}\XS}
\def\Kbh{{\widehat{\Kb}}\XS}  \def\kbh{{\widehat{\kb}}\XS}
\def\Lbh{{\widehat{\Lb}}\XS}  \def\lbh{{\widehat{\lb}}\XS}
\def\Mbh{{\widehat{\Mb}}\XS}  \def\mbh{{\widehat{\mb}}\XS}
\def\Nbh{{\widehat{\Nb}}\XS}  \def\nbh{{\widehat{\nb}}\XS}
\def\Obh{{\widehat{\Ob}}\XS}  \def\obh{{\widehat{\ob}}\XS}
\def\Pbh{{\widehat{\Pb}}\XS}  \def\pbh{{\widehat{\pb}}\XS}
\def\Qbh{{\widehat{\Qb}}\XS}  \def\qbh{{\widehat{\qb}}\XS}
\def\Rbh{{\widehat{\Rb}}\XS}  \def\rbh{{\widehat{\rb}}\XS}
\def\Sbh{{\widehat{\Sb}}\XS}  \def\sbh{{\widehat{\sb}}\XS}
\def\Tbh{{\widehat{\Tb}}\XS}  \def\tbh{{\widehat{\tb}}\XS}
\def\Ubh{{\widehat{\Ub}}\XS}  \def\ubh{{\widehat{\ub}}\XS}
\def\Vbh{{\widehat{\Vb}}\XS}  \def\vbh{{\widehat{\vb}}\XS}
\def\Wbh{{\widehat{\Wb}}\XS}  \def\wbh{{\widehat{\wb}}\XS}
\def\Xbh{{\widehat{\Xb}}\XS}  \def\xbh{{\widehat{\xb}}\XS}
\def\Ybh{{\widehat{\Yb}}\XS}  \def\ybh{{\widehat{\yb}}\XS}
\def\Zbh{{\widehat{\Zb}}\XS}  \def\zbh{{\widehat{\zb}}\XS}

%\widehat greek
\def\alphah{{\widehat{\alpha}}\XS}
\def\betah{{\widehat{\beta}}\XS}
\def\gammah{{\widehat{\gamma}}\XS}      \def\Gammah{{\widehat{\Gamma}}\XS}
\def\deltah{{\widehat{\delta}}\XS}      \def\Deltah{{\widehat{\Delta}}\XS}
\def\epsilonh{{\widehat{\epsilon}}\XS}
\def\varepsilonh{{\widehat{\varepsilon}}\XS}
\def\etah{{\widehat{\eta}}\XS}
\def\thetah{{\widehat{\theta}}\XS}      \def\Thetah{{\widehat{\Theta}}\XS}
\def\varthetah{{\widehat{\vartheta}}\XS}
\def\iotah{{\widehat{\iota}}\XS}
\def\kappah{{\widehat{\kappa}}\XS}
\def\varkappah{{\widehat{\varkappa}}\XS}
\def\lambdah{{\widehat{\lambda}}\XS}     \def\Lambdah{{\widehat{\Lambda}}\XS}
\def\muh{{\widehat{\mu}}\XS}
\def\nuh{{\widehat{\nu}}\XS}
\def\xih{{\widehat{\xi}}\XS}         		\def\Xih{{\widehat{\Xi}}\XS}
\def\pih{{\widehat{\pi}}\XS}         		\def\Pih{{\widehat{\Pi}}\XS}
\def\varpih{{\widehat{\varpi}}\XS}
\def\rhoh{{\widehat{\rho}}\XS}
\def\varrhoh{{\widehat{\varrho}}\XS}
\def\sigmah{{\widehat{\sigma}}\XS}      	\def\Sigmah{{\widehat{\Sigma}}\XS}
\def\varsigmah{{\widehat{\varsigma}}\XS}   \def\Varsigmah{{\widehat{\Varsigma}}\XS}
\def\phih{{\widehat{\phi}}\XS}        		\def\Phih{{\widehat{\Phi}}\XS}
\def\varphih{{\widehat{\varphi}}\XS}
\def\chih{{\widehat{\chi}}\XS}
\def\psih{{\widehat{\psi}}\XS}        		\def\Psih{{\widehat{\Psi}}\XS}
\def\omegah{{\widehat{\omega}}\XS}      	\def\Omegah{{\widehat{\Omega}}\XS}
\def\tauh{{\widehat{\tau}}\XS}
\def\upsilonh{{\widehat{\upsilon}}\XS}   	\def\Upsilonh{{\widehat{\Upsilon}}\XS}
\def\zetah{{\widehat{\zeta}}\XS}

%\widetilde greek
\def\alphat{{\widetilde{\alpha}}\XS}
\def\betat{{\widetilde{\beta}}\XS}
\def\gammat{{\widetilde{\gamma}}\XS}      \def\Gammat{{\widetilde{\Gamma}}\XS}
\def\deltat{{\widetilde{\delta}}\XS}      \def\Deltat{{\widetilde{\Delta}}\XS}
\def\epsilont{{\widetilde{\epsilon}}\XS}
\def\varepsilont{{\widetilde{\varepsilon}}\XS}
\def\etat{{\widetilde{\eta}}\XS}
\def\thetat{{\widetilde{\theta}}\XS}      \def\Thetat{{\widetilde{\Theta}}\XS}
\def\varthetat{{\widetilde{\vartheta}}\XS}
\def\iotat{{\widetilde{\iota}}\XS}
\def\kappat{{\widetilde{\kappa}}\XS}
\def\varkappat{{\widetilde{\varkappa}}\XS}
\def\lambdat{{\widetilde{\lambda}}\XS}     \def\Lambdat{{\widetilde{\Lambda}}\XS}
\def\mut{{\widetilde{\mu}}\XS}
\def\nut{{\widetilde{\nu}}\XS}
\def\xit{{\widetilde{\xi}}\XS}         		\def\Xit{{\widetilde{\Xi}}\XS}
\def\pit{{\widetilde{\pi}}\XS}         		\def\Pit{{\widetilde{\Pi}}\XS}
\def\varpit{{\widetilde{\varpi}}\XS}
\def\rhot{{\widetilde{\rho}}\XS}
\def\varrhot{{\widetilde{\varrho}}\XS}
\def\sigmat{{\widetilde{\sigma}}\XS}      	\def\Sigmat{{\widetilde{\Sigma}}\XS}
\def\varsigmat{{\widetilde{\varsigma}}\XS}   \def\Varsigmat{{\widetilde{\Varsigma}}\XS}
\def\phit{{\widetilde{\phi}}\XS}        		\def\Phit{{\widetilde{\Phi}}\XS}
\def\varphit{{\widetilde{\varphi}}\XS}
\def\chit{{\widetilde{\chi}}\XS}
\def\psit{{\widetilde{\psi}}\XS}        		\def\Psit{{\widetilde{\Psi}}\XS}
\def\omegat{{\widetilde{\omega}}\XS}      	\def\Omegat{{\widetilde{\Omega}}\XS}
\def\taut{{\widetilde{\tau}}\XS}
\def\upsilont{{\widetilde{\upsilon}}\XS}   	\def\Upsilont{{\widetilde{\Upsilon}}\XS}
\def\zetat{{\widetilde{\zeta}}\XS}

%\widehat\bold\greek
\def\alphabh{{\widehat{\alphab}}\XS}
\def\betabh{{\widehat{\betab}}\XS}
\def\gammabh{{\widehat{\gammab}}\XS}      \def\Gammabh{{\widehat{\Gammab}}\XS}
\def\deltabh{{\widehat{\deltab}}\XS}      \def\Deltabh{{\widehat{\Deltab}}\XS}
\def\epsilonbh{{\widehat{\epsilonb}}\XS}
\def\varepsilonbh{{\widehat{\varepsilonb}}\XS}
\def\etabh{{\widehat{\etab}}\XS}
\def\thetabh{{\widehat{\thetab}}\XS}      \def\Thetabh{{\widehat{\Thetab}}\XS}
\def\varthetabh{{\widehat{\varthetab}}\XS}
\def\iotabh{{\widehat{\iotab}}\XS}
\def\kappabh{{\widehat{\kappab}}\XS}
\def\varkappabh{{\widehat{\varkappab}}\XS}
\def\lambdabh{{\widehat{\lambdab}}\XS}     \def\Lambdabh{{\widehat{\Lambdab}}\XS}
\def\mubh{{\widehat{\mub}}\XS}
\def\nubh{{\widehat{\nub}}\XS}
\def\xibh{{\widehat{\xib}}\XS}         		\def\Xibh{{\widehat{\Xib}}\XS}
\def\pibh{{\widehat{\pib}}\XS}         		\def\Pibh{{\widehat{\Pib}}\XS}
\def\varpibh{{\widehat{\varpib}}\XS}
\def\rhobh{{\widehat{\rhob}}\XS}
\def\varrhobh{{\widehat{\varrhob}}\XS}
\def\sigmabh{{\widehat{\sigmab}}\XS}      	\def\Sigmabh{{\widehat{\Sigmab}}\XS}
\def\varsigmabh{{\widehat{\varsigmab}}\XS}   \def\Varsigmabh{{\widehat{\Varsigmab}}\XS}
\def\phibh{{\widehat{\phib}}\XS}        		\def\Phibh{{\widehat{\Phib}}\XS}
\def\varphibh{{\widehat{\varphib}}\XS}
\def\chibh{{\widehat{\chib}}\XS}
\def\psibh{{\widehat{\psib}}\XS}        		\def\Psibh{{\widehat{\Psib}}\XS}
\def\omegabh{{\widehat{\omegab}}\XS}      	\def\Omegabh{{\widehat{\Omegab}}\XS}
\def\taubh{{\widehat{\taub}}\XS}
\def\upsilonbh{{\widehat{\upsilonb}}\XS}   	\def\Upsilonbh{{\widehat{\Upsilonb}}\XS}
\def\zetabh{{\widehat{\zetab}}\XS}

%\widetilde\bold\greek
\def\alphabt{{\widetilde{\alphab}}\XS}
\def\betabt{{\widetilde{\betab}}\XS}
\def\gammabt{{\widetilde{\gammab}}\XS}      \def\Gammabt{{\widetilde{\Gammab}}\XS}
\def\deltabt{{\widetilde{\deltab}}\XS}      \def\Deltabt{{\widetilde{\Deltab}}\XS}
\def\epsilonbt{{\widetilde{\epsilonb}}\XS}
\def\varepsilonbt{{\widetilde{\varepsilonb}}\XS}
\def\etabt{{\widetilde{\etab}}\XS}
\def\thetabt{{\widetilde{\thetab}}\XS}      \def\Thetabt{{\widetilde{\Thetab}}\XS}
\def\varthetabt{{\widetilde{\varthetab}}\XS}
\def\iotabt{{\widetilde{\iotab}}\XS}
\def\kappabt{{\widetilde{\kappab}}\XS}
\def\varkappabt{{\widetilde{\varkappab}}\XS}
\def\lambdabt{{\widetilde{\lambdab}}\XS}     \def\Lambdabt{{\widetilde{\Lambdab}}\XS}
\def\mubt{{\widetilde{\mub}}\XS}
\def\nubt{{\widetilde{\nub}}\XS}
\def\xibt{{\widetilde{\xib}}\XS}         		\def\Xibt{{\widetilde{\Xib}}\XS}
\def\pibt{{\widetilde{\pib}}\XS}         		\def\Pibt{{\widetilde{\Pib}}\XS}
\def\varpibt{{\widetilde{\varpib}}\XS}
\def\rhobt{{\widetilde{\rhob}}\XS}
\def\varrhobt{{\widetilde{\varrhob}}\XS}
\def\sigmabt{{\widetilde{\sigmab}}\XS}      	\def\Sigmabt{{\widetilde{\Sigmab}}\XS}
\def\varsigmabt{{\widetilde{\varsigmab}}\XS}   \def\Varsigmabt{{\widetilde{\Varsigmab}}\XS}
\def\phibt{{\widetilde{\phib}}\XS}        		\def\Phibt{{\widetilde{\Phib}}\XS}
\def\varphibt{{\widetilde{\varphib}}\XS}
\def\chibt{{\widetilde{\chib}}\XS}
\def\psibt{{\widetilde{\psib}}\XS}        		\def\Psibt{{\widetilde{\Psib}}\XS}
\def\omegabt{{\widetilde{\omegab}}\XS}      	\def\Omegabt{{\widetilde{\Omegab}}\XS}
\def\taubt{{\widetilde{\taub}}\XS}
\def\upsilonbt{{\widetilde{\upsilonb}}\XS}   	\def\Upsilonbt{{\widetilde{\Upsilonb}}\XS}
\def\zetabt{{\widetilde{\zetab}}\XS}

\def\fb{{\textbf f}}
\def\Hb{{\textbf H}}
\def\gb{{\textbf g}}
\def\epsilonb{{\textbf\epsilon}}
\def\fbh{{\widehat{\fb}}}



\begin{document}

\title{Welcome to Authorea!}


\author{Ali Mohammad-Djafari}
\affil{Affiliation not available}



\date{\today}

\maketitle




This is a test. 
The citing facilities is good. I tested it :

Blind deconvolution references:

\cite{25181364}\cite{22614653}\cite{20975117}\cite{20529746}\cite{20028627}\cite{19278919}\cite{19095515}\cite{20529746}\cite{17153945}

\cite{Murayama_2012}\cite{Wang_2006}\cite{Murayama_2012}\cite{Kanemura_2007}\cite{Champagnat_2015}\cite{2014}

\cite{22562764}\cite{19157777}

Superresolution references:

\cite{24320449}\cite{24154875}\cite{20378473}\cite{18276274}\cite{18270113}\cite{16830910}\cite{15540458}\cite{18218502}\cite{18230488}\cite{18230488}\cite{20454400}\cite{7333300}\cite{7230760}

\cite{Mohammad_Djafari_2013}\cite{Pougaza_2011}\cite{2013}\cite{Rabiei_2011}\cite{Zhu_2011}\cite{Ait_El_Fquih_2011}\cite{Mohammad_Djafari_1998}\cite{Mohammad_Djafari_2013}\cite{Snoussi_2013}\cite{1993}\cite{Pougaza_2012}\cite{Mohammad_Djafari_2010}\cite{Mohammad_Djafari_1999}\cite{Mohammad_Djafari_2013}\cite{Mohammad_Djafari_2013}

Writing the equations is easy too: $x=y^2$. 
\begin{equation}
g(t)=\int f_j \exp\{-j \omega t\}
\end{equation}

Using the macros seems to be more difficult. 

\begin{equation}
\gb=\Hb\fbh+\epsilon, \ab, \Ab, \Ac, \abh \Abh, \abt \Abh
\end{equation}

\selectlanguage{english}
\FloatBarrier
\bibliographystyle{plain}
\bibliography{bibliography/converted_to_latex.bib%
}

\end{document}

