10, Thm. 2]. From it we extract a closed-form formula. LetSpan(Γ) be the set of connected spanning subgraphs, and write b1 for the first Betti number. ... Wehave. (2) [B(Γ)] =. Γ′Span(Γ). (L 1)2b1(Γ′)Lb1(Γ)b1(Γ′). In particular, the Euler
77 4.2 Mid- to long-term scenario. 84. 5 Life-cycle energy and greenhouse gas emissions of nuclear power in Australia. ... For example, consider a breakdown of the energy embodiments in E into electricity Ee, coal Ec, oil Eo, and gas Eg.
1958; Willingham et al. 1959: Rickes ec al. 1962). Despite this relatively long history, commercial exploitation has only been significant during the last decade. ... ec:in. Depressed growth and t i b i a 1 a s h.
i) If a1 6= a′2 then τa1a2b1b2. (u) = τ a2a1b1b2 (u).(ii) If b1 6= b′2 then τ. ... akb1. bk (u) =pSk. sgn p tap(1)b1(u). tap(k)bk(u k 1). These are formal series in u1 with coefficients in X(gN).