Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx

... coordinates and leaving A col,s n invariant. By a calculation of the character of S n on the homology of the order complex of L A col , s n and using a formula of Orlik & Solomon [10] we are able ... Lie algebra homology, where it appears in a generic fiber of a projection of the braid arrangement. The study of the intersection lattice of th...

Ngày tải lên: 07/08/2014, 06:20

... proved by examining the considerations in Step 5 and Step 6 of the proof of Theorem 2 in more detail. 4. Another two-parameter family of determinants. The goal of this section is to evaluate the determinant ... inequality being an assumption in the statement of the Theorem. The product in the numerator of the right-hand side of (3.25) consists of factors o...

Ngày tải lên: 07/08/2014, 06:20

... ,n. Remark 1.11. According to the referee, our work possibly has a generalization in the spirit of the papers of Lascoux, Leclerc and Thibon [12], and of Hivert [9]. In [12], a multi- parameter ... p i >0 (x σ(1) ) p 1 (x σ(1) x σ(2) ) p 2 ···(x σ(1) ···x σ(n) ) p n . the electronic journal of combinatorics 11(2) (2005), #R21 16 [6] Adriano M. Garsia. Combinatoric...

Ngày tải lên: 07/08/2014, 08:22

... in the flora of Algeria by nine species, namely, Launaea acanthoclada, Launaea angustifolia, Launaea anomala, Launaea arborescens, Launaea cassiniana, Launaea glomerata, Launaea ... nudicaulis, Launaea quercifolia, and Launaea resedifolia [1, 2]. L. resedifolia (local name “laadid, Azim”) is a perennial herb widely distributed in the arid regions of Mediterra...

Ngày tải lên: 20/06/2014, 20:20

... 26. Kadhum AH, Al-Amiery AA, Musa AY, Mohamad A (2011) The antioxidant activity of new coumarin derivatives. Int J Mol Sci 12:5747–5761 27. Garratt DC (1964) The quantitative analysis of drugs, ... exposure of the zone of inhibition toward the diffusion of microorganism on agar plate. The plates were incubated for 24 h, at 37°C. The antimicrobial activity was reco...

Ngày tải lên: 20/06/2014, 20:20

... 5 Chromatic number for a generalization of Cartesian product graphs Daniel Kr´al’ ∗ Institute for Theoretical Computer Science Faculty of Mathematics and Physics Charles University, Prague, Czech ... determined assymptotically the function f(G; d) for the class G of k-colorable graphs and the class M of matchings. For the class S of graphs with at most one edge, we w...

Ngày tải lên: 07/08/2014, 21:21

... lines are parallel if they are parallel to the same λ parallel classes. It is well known and easy to prove that a line L has at most m points; and L has exactly m points if and only if each block ... − 1) parallel classes that are parallel to L.NowΓhasr =(µm 2 − 1)/(m − 1) parallel classes and so has r −λ = µm not parallel to L. Choose Y from any of the µm − 1 parallel classes...

Ngày tải lên: 07/08/2014, 06:22

... Aug 7, 2006 Mathematics Subject Classification: 0 5A0 5 Abstract We prove that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of ... set B,andB is the minimal such set (so that no element of B contains another) then we call B the basis for the set. For example, the set of permutations that avoid 12 an...

Ngày tải lên: 07/08/2014, 13:21

... K + 0 (CRF S ). The algebra a nd co-algebra structures are compatible, and H CRF S is in fact a Hopf algebra (see [6 ]). It follows from 3.1 that ∆(δ A ) =  A ′ A ′′ A δ A ′ ⊗ δ A ′′ , (3.2) where the ... cal- culate its Grothendieck group. For details and proofs, see [6]. While [6] treats the case of uncolored trees, the extension of the results to the c...

Ngày tải lên: 08/08/2014, 11:20

... GCA GCC GCC CAG GAG GTC CAG ACC GCC GCC 156 53QEAVEGAEQVASESASLTTP CAG GAG GCG GTA GAG GGC GCC GAG CAG GTA GCG TCC GAG TCA GCC TCC CTC ACA ACA CCA 216 73TTREEQPAAEAAASTAGGSQ ACC ACC AGG GAA GAA ... 336 113KAIQDILNEHNMFRAKERVP AAG GCC ATA CAG GAC ATC CTC AAC GAG CAC AAC ATG TTC CGC GCC AAG GAG CGC GTC CCG 396 133PLTWNTTLAKFSQDYAESKL CCG CTC ACG TGG AAC ACG ACG CTT GCC AAG TTC TCG CAG GAC TAC G...

Ngày tải lên: 07/03/2014, 12:20