Báo cáo toán học: "Factorisation of Snarks" docx
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...
Báo cáo toán học: " Nonexistence of positive solutions of an integral system with weights" docx
... 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...
Báo cáo toán học: " Nonexistence of nontrivial solutions for the p(x)-Laplacian equations and systems in unbounded domains of Rn" docx
... ∂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...
Báo cáo toán học: " Toxicology of perfluorinated compounds" docx
... 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...
Báo cáo toán học: " Immobilization of anode-attached microbes in a microbial fuel cell" docx
... 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...
Báo cáo toán học: " Impact of changes in diet on the availability of land, energy demand, and greenhouse gas emissions of agriculture" docx
... 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...
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