fɚðɪ aɪdˈiəl dˈaɪoʊd sˈɪstəmz, ðə kˌɑːmpjuːtˈeɪʃənz ɑːɹ kənsˈɪdɚɹəbli mˈoːɹ dˈɪfɪkəlt, bˌʌt pɹəvˈaɪdᵻd sˌʌm dʒˈɛnɚɹəli vˈælɪd kəndˈɪʃənz hˈoʊld, ðə dˌɪfɚɹˈɛnʃəl vˌɛɹɪˈeɪʃənəl ɪniːkwˈɔlᵻɾi kæn biː ʃˈoʊn tə hæv ˈɪndɛks wˌʌn.
For the ideal diode systems, the computations are considerably more difficult, but provided some generally valid conditions hold, the differential variational inequality can be shown to have index one.