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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def eval_adiabatic_limit(YABFGN, Ytilde, P0):
 """Compute the limiting SLH model for the adiabatic approximation Args: YABFGN: The tuple (Y, A, B, F, G, N) as returned by prepare_adiabatic_limit. Ytilde: The pseudo-inverse of Y, satisfying Y * Ytilde = P0. P0: The projector onto the null-space of Y. Returns: SLH: Limiting SLH model """

    Y, A, B, F, G, N = YABFGN

    Klim = (P0 * (B - A * Ytilde * A) * P0).expand().simplify_scalar()
    Hlim = ((Klim - Klim.dag())/2/I).expand().simplify_scalar()

    Ldlim = (P0 * (G - A * Ytilde * F) * P0).expand().simplify_scalar()

    dN = identity_matrix(N.shape[0]) + F.H * Ytilde * F
    Nlim = (P0 * N * dN * P0).expand().simplify_scalar()

    return SLH(Nlim.dag(), Ldlim.dag(), Hlim.dag())