# How to write these equations [duplicate]

I want to typeset these equations :    \documentclass{article}
\usepackage{amsmath,amssymb}
\begin{document}
We have
$\tilde{P}_i^{1-\sigma}=\sum_j^N\left[\prod_{(Mji\succ0)}\tilde{p}_j^{1-\sigma}\theta_j\prod_{k=1}^Ke^{\beta_kD_{kji}}\right]\qquad\forall j$
and
$\sum_{i=1}^N\sum_{j=1}^N\left[\mathrm M_{ij}-\exp(T_{ij}\overset{\smallfrown}{\delta})\right]T_{ij}=0$
as well as
$M_{ij}=\frac{Y_iY_j}{Y^W}\frac{\prod_{h=1}^He^{\delta_hD_{hji}}}{\tilde P_i^{1-\sigma}\tilde P_j^{1-\sigma}}$
also
$\prod_i^{1-\sigma}=\sum_{j}^N\left(\frac{t_{ij}}{\tilde P_j}\right)^{1-\sigma}\cdot\frac{E_j}{Y_t}$

And these are inline:

\begin{enumerate}
\item $\tilde{P}_i^{1-\sigma}=\sum_j^N\left[\prod_{(Mji\succ0)}\tilde{p}_j^{1-\sigma}\theta_j\prod_{k=1}^Ke^{\beta_kD_{kji}}\right]\qquad\forall j$
\item $\sum_{i=1}^N\sum_{j=1}^N\left[\mathrm M_{ij}-\exp(T_{ij}\overset{\smallfrown}{\delta})\right]T_{ij}=0$
\item $M_{ij}=\frac{Y_iY_j}{Y^W}\frac{\prod_{h=1}^He^{\delta_hD_{hji}}}{\tilde P_i^{1-\sigma}\tilde P_j^{1-\sigma}}$
\item $\prod_i^{1-\sigma}=\sum_{j}^N\left(\frac{t_{ij}}{\tilde P_j}\right)^{1-\sigma}\cdot\frac{E_j}{Y_t}$
\end{enumerate}
\end{document} • But the OP's MWE was not there and now you've given the answer. LOL LOL. :-) Mar 4, 2019 at 13:12
• @Sebastiano Yeah! I had just had some fun so I could keep calm. Also it was in my free time ;-) But it is me who gave him the downvote.
– user156344
Mar 4, 2019 at 13:16
• @JouleV For me, the important thing is to help others. Obviously, if there's cunningness, then everything changes for me. Very good with the code you entered. Mar 4, 2019 at 13:23