LaTeX rendering about marimo HOT 4 CLOSED

import marimo

__generated_with = "0.6.24-dev2"
app = marimo.App()


@app.cell
def __():
    import marimo as mo

    mo.md(
        r"""
        $$
        \begin{array}{lllll}
        \text {IS : } & \hat{y}_{t}=\mathbb{E}_{t} \hat{y}_{t+1}-\frac{1}{\sigma}\left(i_{t}-\mathbb{E}_{t} \pi_{t+1}-r_{t}^{n}\right)+u_t\\
        \text {Taylor rule : } & \ i_{t}  = \pi_t + r^n_t+\phi_{\pi} \pi_{t}+\phi_{y} \hat{y}_{t} \\
        \text {AD : } & \hat{y}_{t}= \hat{c}_{t} \\
        \text {AS : } & \pi_{t}  =\kappa \hat{y}_{t}+\beta \cdot \mathbb{E}_{t} \pi_{t+1} \\
        \text {Real interest : } & r_{t}^{n}  =\rho_r \cdot r_{t-1}^{n}+\varepsilon_{t}^{r} \quad , \quad \varepsilon_{t}^{r} \sim {\cal{N}}(0,1) \\
        \text {Demand shock : } & u_{t}  =\rho_u \cdot u_{t-1}+\varepsilon_{t}^{u} \quad , \quad \varepsilon_{t}^{u} \sim {\cal{N}}(0,1) \\
        \end{array}
        $$
        """
    )
    return mo,


@app.cell
def __(mo):
    mo.md(
        r"""
        $$
        \begin{align}
          \hat{y}_t & =\mathbb{E}_t \hat{y}_{t+1}-\frac{1}{\sigma}\left(i_t-\mathbb{E}_t \pi_{t+1}-r_t^n\right)+u_t&& \tag{IS}\\
          \ i_t  & = \pi_t + r^n_t + \phi_\pi \pi_t+\phi_y \hat{y}_t  &&\tag{Taylor Rule}\\
          \hat{y}_t &=\hat{c}_t&&\tag{AD}\\
          \pi_t &=\kappa \hat{y}_t+\beta \cdot \mathbb{E}_t \pi_{t+1}&&\tag{AS}\\
          u_{t} &=\rho^u \cdot u_{t-1}+\varepsilon_{t}^{u} \quad , \quad \varepsilon_{t}^{u} \sim {\cal{N}}(0,1)&&\tag{Demand shock}\\
          r_{t}^{n}  &=\rho^r \cdot r_{t-1}^{n}+\varepsilon_{t}^{r} \quad , \quad \varepsilon_{t}^{r} \sim {\cal{N}}(0,1)&&\tag{Real Interest Rate}
        \end{align}
        $$
        """
    )
    return


@app.cell
def __(mo):
    mo.md(rf"")
    return


if __name__ == "__main__":
    app.run()