def alpha_for_abruptly_changing_env(nu=0.5):
    """For abruptly-changing environement, if the number of break-points is :math:`\\Upsilon_T = \\mathcal{O}(T^{\\nu})`, then the SW-UCB# algorithm chooses :math:`\\alpha = \\frac{1-\\nu}{2}`."""
    return (1 - nu) / 2
