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One treats NaT result as datetime, other treats it as timedelta.
>>> dti = pd.DatetimeIndex([pd.NaT, pd.Timestamp('19900315')]) >>> ser = pd.Series(dti) >>> dti - pd.NaT TimedeltaIndex([NaT, NaT], dtype='timedelta64[ns]', freq=None) >>> ser - pd.NaT 0 NaT 1 NaT dtype: datetime64[ns]