Báo cáo toán hoc:" Positivity in coefficient-free rank two cluster algebras" doc

... polynomial in Z[x ±1 m , x ±1 m+1 ]. This proves Fomin- Zelevinsky’s positivity conjecture for coefficient-free rank two cluster algebras. Introduction A combinatorial result Let b, c be positive integers ... investigate briefly cluster categories and cluster algebras associated to quivers with automorphisms. In section 3, we define a folding process in order to realize clust...

Ngày tải lên: 08/08/2014, 01:20

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Ngày tải lên: 05/08/2014, 15:21

... integral, solitary, edge-minimal, or edge-minimizing) if and only if L αβ g (λ) is positive rational (respectively positive integral, solitary, edge-minimal, or edge-minimizing). For a rank two ... edge-minimal, or edge-minimizing) if and only if L αβ g (λ) is positive rational (respectively positive integral, solitary, edge-minimal, or edge-minimizing). the electronic journal of combinat...

Ngày tải lên: 07/08/2014, 13:21

... diabetes [1]. In the field of tissue engineering, magnetic nanoparticles have been previously reported for many applications including cellular labelling, sorting and monitoring, targeted in- vivo ... containing 10% heat inactivated foetal bovine serum [FBS], 2 mM L-glutamine and 1% penicillin streptomycin [Penstrep] (all purchased from Invitrogen Ltd., Renfrew, UK). RAW264.7 cells (ki...

Ngày tải lên: 20/06/2014, 20:20

... cos(0.2πn) 0 0.1 sin(0.2πn) 0 0 0 0 0.01 sin(0.2πn)   , B(n) = (b ij (n)) =   7 + sin(0.2πn) 0.1 sin(0.2πn) 0.01 sin(0.2πn) 0.1 cos(0.2πn) 7 + sin(0.2πn) 0 0.01 sin(0.2πn) 0 7 + sin(0.2π n )   . 11 and (C L u) i (n) ... below). For information about publishing your research in Advances in Difference Equations go to http://www.advancesindifferenceequations.com/authors/instructions/ F...

Ngày tải lên: 20/06/2014, 20:20

... industrial monitoring and control, location-assisted gaming, and social networking. During the last few years, there have been intensive research activities in this area and various solutions have been investigated. ... a very large database of RSS fingerprints. Machine learning techniques are employed to extract the location information from online RSS measurements showing promising perfor...

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