r"""Highest mean temperature.

    The maximum of daily mean temperature.

    Parameters
    ----------
    tas : xarray.DataArray
      Mean daily temperature [℃] or [K]
    freq : str, optional
      Resampling frequency

    Returns
    -------
    xarray.DataArray
      Maximum of daily minimum temperature.

    Notes
    -----
    Let :math:`TN_{ij}` be the mean temperature at day :math:`i` of period :math:`j`. Then the maximum
    daily mean temperature for period :math:`j` is:

    .. math::

        TNx_j = max(TN_{ij})

def tg_max(tas, freq='YS'):
    r"""Highest mean temperature.

    The maximum of daily mean temperature.

    Parameters
    ----------
    tas : xarray.DataArray
      Mean daily temperature [℃] or [K]
    freq : str, optional
      Resampling frequency

    Returns
    -------
    xarray.DataArray
      Maximum of daily minimum temperature.

    Notes
    -----
    Let :math:`TN_{ij}` be the mean temperature at day :math:`i` of period :math:`j`. Then the maximum
    daily mean temperature for period :math:`j` is:

    .. math::

        TNx_j = max(TN_{ij})
    """

    return tas.resample(time=freq).max(dim='time', keep_attrs=True)