ðə mˌæθɪmˈæɾɪks əvə nˈɛtwɜːk wɪð ɡˈeɪnz, ɔːɹ dʒˈɛnɚɹəlˌaɪzd nˈɛtwɜːk, ɪz kənˈɛktᵻd wɪððə fɹˈeɪm mˈætɹɔɪd ʌvðə ɡˈeɪn ɡɹˈæf.
The mathematics of a network with gains, or generalized network, is connected with the frame matroid of the gain graph.