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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 _intergral_to_differential(hpx_map, gamma=-2.0):
 """ Convert integral quantity to differential quantity Here we are assuming the spectrum is a powerlaw with index gamma and we are using log-log-quadrature to compute the integral quantities. """

        nebins = len(hpx_map.data)
        diff_map = np.zeros((nebins + 1, hpx_map.hpx.npix))
        ebins = hpx_map.hpx.ebins
        ratio = ebins[1:] / ebins[0:-1]
        half_log_ratio = np.log(ratio) / 2.
        ratio_gamma = np.power(ratio, gamma)
        #ratio_inv_gamma = np.power(ratio, -1. * gamma)

        diff_map[0] = hpx_map.data[0] / ((ebins[0] + ratio_gamma[0] * ebins[1]) * half_log_ratio[0])
        for i in range(nebins):
            diff_map[i + 1] = (hpx_map.data[i] / (ebins[i + 1] *
                                                  half_log_ratio[i])) - (diff_map[i] / ratio[i])
        return HpxMap(diff_map, hpx_map.hpx)