Báo cáo toán học: "Factorisation of Snarks" docx

... H. Proof . Let {e, f } be the pair of edges of G and let { u, v} be the pair of vertices of H that are involved in the dot product G · H. To prove (a) consider a pair {x, y} of edges of G neither of ... froof of (b), let a i (i = 1, 2, 3, 4) denote the edge of G · H obtained by the junction of the i-th semiedge of G L with that of H R . Furthermore let u and v be the e...

Ngày tải lên: 08/08/2014, 12:22

... symmetry of solutions of (1.1) on the hyperbola (1.3). For ξ = η = 0 and max{1, 2/(N − 2)} < p, q < ∞, Chen and Li [16, Theorem 4.3] obtained the nonexistence of positive solutions of (1.1) ... some assumptions of p, q, α, and β. Furthermore, using Doubling Lemma indicated in [14], which is an extension of an idea of Hu [15], Chen and Li [16, Theorem 4.3] obtained the none...

Ngày tải lên: 20/06/2014, 21:20

... ∂Ω. Therefore, the problem admits only the null solution. Proof Similar to the proof of theorem 1. theorem 3.3 If u k ∈ W 1,p k (x) 0 (Ω) ∩L ∞  Ω  solution of the system (1.6) −(1.7), Ω is a star shaped ... identities (2.5) and (2.6). The rest of the proof is similar to the that of lemma 1. 3 Principal Result theorem 3.1 If u ∈ W 1,p(x) 0 (Ω) ∩ L ∞  Ω  be a solution of the probl...

Ngày tải lên: 20/06/2014, 21:20

... possibility of underestimation of PFC exposure through food contact materials. Mixtures of perfluorooctanesulfonamide esters are often used in the manufacture of water- and greaseproof papers ... eating 8 g of eel from Belgium with a concentration of 857 µg PFOS/kg fresh weight or eating 0.6 g of trout from the upper Sauerland region of Germany with a measured maximum leve...

Ngày tải lên: 20/06/2014, 21:20

... proof -of- concept immobilization approach that allows exoelectrogenic activity of cells on an electrode based on applying a layer of latex to hold bacteria on surfaces. The effectiveness of ... of Figures 1 2 Fig. 1 SEM image of 3 layers of latex (“latex overlay”; approximately 165 µm thick) on a 3 carbon paper anode with exoelectrogenic biofilm after 6 cycles in an MFC. Th...

Ngày tải lên: 20/06/2014, 21:20

... CO 2 econtri- bution of conventional agricultural production. Accounting for all sources, the production of 1 t of wheat yields a CED of 676 kWh and emissions of 3 60 kg of CO 2 e, where 31% of the CED and 27% of ... positive outcomes in terms of changed nutri- tional habits. Endnotes a Production of 1 kg of beef requires an area of 20.9 m 2 , while 1 kg of cereals o...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:21