LaTeX Forum

\documentclass{beamer}
\usepackage{mathtools}
\begin{document} 
\begin{frame} 
\frametitle{jumping overlays} 
\framesubtitle{the best presentation} 
\begin{overlayarea}{\textwidth}{6.5cm} 
\begin{flalign}
\alt<1>{
    &\mathrlap{\text{here is expanation for the object function}}&%
  }{%
    &\mathrlap{\text{max}\hspace{3cm}\sum_{b\in B}~a_b}
  }%
  \nonumber
\uncover<3->{\\ 
  \alt<3,5>{%
    &\mathrlap{\text{here is the \alt<3>{first}{second} explanation for equation no 1}}
      &&&\phantom{\begin{aligned}\forall ~m &\in M,\\n &\in N,\\o &\in O\end{aligned}}
      \nonumber
  }{
    &s.t.&\qquad a_{mn} + b_{mn} + c_{mm}   &\leq d_o
      &&\forall{}\ \begin{aligned}{}& m \in M,\\&\phantom{m}\llap{n} \in N,\\&\phantom{m}\llap{o} \in O\end{aligned}\\
      \alt<4,6>{\nonumber}{}
}}
\uncover<7->{
  \alt<7>{%
    &\mathrlap{\text{here comes explanation for equation no 2}}\nonumber\\
  }{%
    && \mathllap{\sum_{m \in M} a_{mn} + \sum_{m \in M}b_{mn} + \sum_{m\in M}c_{mn}}
      &\leq d_n + e_n \quad
      &&\forall\ \phantom{m}\llap{n} \in N\\
      \alt<8>{\nonumber}{}
  }}
\onslide<9->{
  \alt<9>{%
    &\mathrlap{\text{here is the explanation for equation no 3}}\nonumber
  }{
    && \mathllap{\sum_{m \in M} a_{mn} + \sum_{m \in M}b_{mn} + \sum_{m\in M}c_{mn}}
      & \leq d_n + e_n \quad
      &&\forall\ \phantom{m}\llap{n} \in N\\
      \nonumber
 }}
\onslide<10>{}
\end{flalign} 
\end{overlayarea} 
\end{frame} 
\end{document}

%
\documentclass{beamer}
\begin{document}
\begin{frame}
\frametitle{jumping overlays}
\framesubtitle{the best presentation}
\begin{overlayarea}{11cm}{10cm}
\begin{align}
\only<1>{  \intertext{here is expanation for the object function\nonumber}}
\only<2->{ &\text{max}& \sum_{b\in B}~a_b \nonumber}\\
\only<3>{ \intertext{here is the first explanation for equation no 1}\nonumber}
\only<4>{ &s.t.&  \quad          a_{mn} + b_{mn} + c_{mm}	&\leq d_o	&\forall& ~m \in M, ~ n \in N, ~ o \in O}\nonumber\\
\only<5>{ \intertext{here is the second explanation for equation no 1}}\nonumber\\
\only<6->{ &s.t.&  \quad          a_{mn} + b_{mn} + c_{mm}	&\leq d_o	&\forall& ~m \in M, ~ n \in N, ~ o \in O }\\
\only<7>{&& \text{here comes explanation for equation no 2}}\\
\only<8->{ && \sum_{m \in M} a_{mn} + \sum_{m \in M}b_{mn} + \sum_{m\in M}c_{mn} &\leq d_n + e_n \quad	&\forall& ~ n \in N 					}\\
\only<9>{\intertext{here is the explanation for equation no 3}}
\only<10->{ && \sum_{m \in M} a_{mn} + \sum_{m \in M}b_{mn} + \sum_{m\in M}c_{mn} &\leq 1 \quad	&\forall& ~ n \in N 					}
\end{align}
\end{overlayarea}
\end{frame}
\end{document}
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