\begin{document}
\documentclass[xcolor=dvipsnames,11pt]{beamer-HT}\usepackage{graphicx,hyperref,fancyhdr,amsthm,amsmath,amssymb,amsfonts,Mathrsfs,color,xspace,epsfig,times,tikz,fancybox,footnpag,beamerprosper,ragged2e,beamerthemesplit,fontenc,pgf,pgfarrows,pgfnodes,pgfautomata,pgfheaps,pgfpages}
\usepackage{hyperref}
\hypersetup{colorlinks=true,linkcolor=black,citecolor=brown,filecolor=White,urlcolor=brown}%[colorlinks=true]
\useoutertheme[height=2cm,width=1.5cm,right,colure]{sidebar} % حاشیه کنار
\usepackage{xcolor}
\usepackage{BeamerColor}
\usepackage[absolute,overlay]{textpos}
\usepackage{parsi-HT,fontspec}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\usepackage[english]{babel}
\usepackage{amsmath,amsfonts,amstext}
\usefonttheme{professionalfonts}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\setbeamercolor{normal text}{fg=White!55!white,bg=CadetBlue4!70!CadetBlue4}
%\beamertemplateshadingbackground{CadetBlue4!100}{White!100}
%\setbeamercolor{structure}{fg=CadetBlue4!5!CadetBlue4}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\beamertemplateshadingbackground{CadetBlue1!100}{White!100}
\usecolortheme[named=DodgerBlue3]{structure}
\setbeamercolor{background canvas}{bg=CadetBlue3,fg=White!100!white}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\setbeamercolor{normal text}{fg=Red!0!Black,bg=Red!80!Red}
%\beamertemplateshadingbackground{white!100}{white!80}
%\setbeamercolor{structure}{fg=White!5!Red1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\beamertemplateshadingbackground{black!100}{red!100}
%\usecolortheme[named=pink]{structure}
%\setbeamercolor{background canvas}{bg=red!85!black,fg=red!55!white}
%\setbeamercolor{background canvas}{bg=red!70!black,fg=red!100!black}
%\setbeamercolor{normal text}{fg=red!0!white,bg=red!40!black
%\pgfdeclareimage[width=.35in]{fg:logo}{Images/logo.eps}
%\usebeamertemplate*{logo}
%\logo{\includegraphics[height=0.5cm]{logo.pdf}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%% THEME  نوع تم
%\usetheme{AnnArbor}
%\usetheme{Antibes}
%\usetheme{Bergen}
%\usetheme{Berkeley}
%\usetheme{Berlin}
%\usetheme{Boadilla}
%\usetheme{boxes}%
%\usetheme{CambridgeUS}%
%%\usetheme{Copenhagen}
%%\usetheme{Darmstadt}
%%%\usetheme{default}
%\usetheme{Dresden}
%\usetheme{Frankfurt}
%\usetheme{Goettingen}
%\usetheme{Hannover}
%\usetheme{Ilmenau}
 %\usetheme{JuanLesPins}
%\usetheme{Luebeck}
\usetheme{Madrid}
%\usetheme{Malmoe}
%\usetheme{Montpellier}
%\usetheme{PaloAlto}
%\usetheme{Pittsburgh}
%\usetheme{Rochester}
%\usetheme{Singapore}
%\usetheme{Szeged}
%\usetheme{Warsaw}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%% COLOR THEME  رنگ تم
  %\usecolortheme{albatross}
  %\usecolortheme{beetle}
  %\usecolortheme{crane}
 %\usecolortheme{default}
 % \usecolortheme{dolphin}
  %\usecolortheme{dove}
  %\usecolortheme{fly}
  %\usecolortheme{lily}
  %\usecolortheme{orchid}
  %\usecolortheme{rose}
  %\usecolortheme{seagull}
  %\usecolortheme{seahorse}
  %\usecolortheme{sidebartab}
  %\usecolortheme{structure}
  %\usecolortheme{whale}
  %%%%%%%%%%%%%%%%%%%%%%%%%%%% INNER THEME  ساختار بالت ها
  %\useinnertheme{circles}
%\useinnertheme{default}
%\useinnertheme{inmargin}
 %\useinnertheme{rectangles}
 %\useinnertheme{rounded}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\renewcommand{\baselinestretch}{1.3}  %% فاصله خط ها
\RequirePackage{xepersian-mathsdigitspec}
%%%%%%%%%%%%
\setmainfont[Script=arab,Mapping=parsidigits]{B Nazanin}  %% فونت فارسي
%\settextfont[Scale=1.2]{B Nazanin}
\setdigitfont[Scale=0.8]{Yas}
%%%%%%%%%%%%
\def\familydefault{\rmdefault}
\newfontfamily\rmfamily[Mapping=tex-text]{Times New Roman} % فونت انگليسي
\newfontinstance\nas[Script=Arabic,Scale=0.7]{IranNastaliq}  % تعریف فونت نستعلیق
\PersianMathsDigits{ }%%   فارسي كردن اعداد  فرمول ها   
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newenvironment{thh}{\begin{Theorem}{\noindent\hspace{-0.3em}}}{\end{Theorem}}
\newcommand{\bt}{\begin{thh}}
\newcommand{\et}{\end{thh}}
\newenvironment{exa}{\begin{Example}{\noindent\hspace{-0.3em}}}{\end{Example}}
\newcommand{\be}{\begin{exa}}
\newcommand{\ee}{\end{exa}}
\newenvironment{de}{\begin{Definition}{\noindent\hspace{-0.3em}}}{\end{Definition}}
\newcommand{\bd}{\begin{de}}
\newcommand{\ed}{\end{de}}
\newenvironment{lee}{\begin{Lemma}{\noindent\hspace{-0.3em}}}{\end{Lemma}}
\newcommand{\bl}{\begin{lee}}
\newcommand{\el}{\end{lee}}
\newenvironment{pro}{\begin{Proposition} }{\end{Proposition}}
\newcommand{\bp}{\begin{pro}}
\newcommand{\ep}{\end{pro}}
\newenvironment{cor}{\begin{Corollary}{\noindent\hspace{-0.3em}}}{\end{Corollary}}
\newcommand{\br}{\begin{cor}}
\newcommand{\er}{\end{cor}}
\newcommand{\bn}{\begin{note}}
\newcommand{\en}{\end{note}}
\newcommand{\ex}{\begin{exe}\end{exe}}
\newcommand{\bs}{\begin{sol}~}
\newcommand{\es}{\end{sol}}
\newenvironment{pro}{\begin{Proposition}{\noindent\hspace{-0.3em}}}{\end{proposition}}
\newcommand{\bt}{\begin{pr}}
\newcommand{\et}{\end{pr}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\bq}{\begin{equation}}
\newcommand{\eq}{\end{equation}}
\newcommand{\bqs}{\begin{equation*}}
\newcommand{\eqs}{\end{equation*}}
\newcommand{\bqa}{\begin{eqnarray}}
\newcommand{\eqa}{\end{eqnarray}}
\newcommand{\bqas}{\begin{eqnarray*}}
\newcommand{\eqas}{\end{eqnarray*}}
\newcommand{\bc}{\begin{cases}}
\newcommand{\ec}{\end{cases}}
\newcommand{\bno}{\begin{enumerate}}
\newcommand{\eno}{\end{enumerate}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\begin{bidiblock}{نتایج عددی مربوط به مثال 2 برای $f_{2}$}\justifying
\begingroup\makeatletter\def\f@size{10.5}\check@mathfonts
            \begin{eqnarray*} \label{f21}
            \displaystyle\int_{0}^{1}  \Phi(y) f^{l_{i}}_{i}(y) \simeq \dfrac{h}{(l_{i}+1)(l_{i}+2)} 
            \left[\begin{array}{cccccc} \displaystyle\sum_{j=0}^{l_{i}}(l_{i}-j+1)f^{l_{i}-j}_{i_{0}}f^{j}_{i_{1}} \\
       \displaystyle\sum_{j=0}^{l_{i}}(j+1)f^{l_{i}-j}_{i_{0}}f^{j}_{i_{1}}
            + \displaystyle\sum_{j=0}^{l_{i}}(l_{i}-j+1)f^{l_{i}-j}_{i_{1}}f^{j}_{i_{2}} \\
         \vdots  \\
          \vdots  \\
        \displaystyle\sum_{j=0}^{l_{i}}(j+1)f^{l_{i}-j}_{i_{ n-2}}f^{j}_{i_{ n-1}}
            + \displaystyle\sum_{j=0}^{l_{i}}(l_{i}-j+1)f^{l_{i}-j}_{i_{ n-1}}f^{j}_{i_{n}}\\
        \displaystyle\sum_{j=0}^{l_{i}}(j+1)f^{l_{i}-j}_{i_{ n-1}}f^{j}_{i_{n}}\end{array}\right]=V_{i},\\
            \end{eqnarray*}
            \endgroup
            \end{bidiblock}
            \end{frame}
\end{document}