Complex sentence: The case of\\ sigma_0\\ to\\ infty is called a non-informative prior and leads to an ill-defined a priori probability distribution; in this case\\ hat --\\ mathrm\\ to\\ hat --.
Split into simpler sentences: The case of\\ sigma_0\\ to\\ infty is called a non-informative prior and leads to an ill-defined a priori probability distribution. In this case,\\ hat --\\ mathrm\\ to\\ hat --.