kˈɑːnsɪkwəntli, ˌʌndɚ ðɪ ɐdˈɪʃənəl ɐsˈʌmpʃən ðætðə kˈæɹiɚ spˈeɪs ɪz lˈoʊkəli kəmpˈækt, ðɛɹ dˌɪstɹɪbjˈuːʃən ɪz ɡˈɪvən baɪ ðə pɹˌɑːbəbˈɪlᵻɾiz
Consequently, under the additional assumption that the carrier space is locally compact, their distribution is given by the probabilities