Báo cáo toán học: " Exchange Symmetries in Motzkin Path and Bargraph models of Copolymer Adsorption" ppsx

... factorisation of Motzkin paths. 2.1 Motzkin Paths with Vertex-visits Motzkin paths may be factored recursively in terms of shorter Motzkin paths. In particu- lar, every adsorbing Motzkin path is either ... model of an adsorbing polymer can be defined by letting the path be attracted to an adsorbing line. In models of Motzkin paths, the adsorbing line will be the...

Ngày tải lên: 07/08/2014, 06:23

... steps of type u upward and steps of type d downward.Anescalating Dyck path of semilength n is a path in the integer plane consisting of steps of type v =(0, 1) and h =(1, 0) starting at the origin, ... while the remaining values form a decreasing chain; in σ θ , however, the increasing chain is the longest cyclic increasing chain, that is, the longest possible increasing...

Ngày tải lên: 07/08/2014, 07:21

... k 1 + ···+ k m = n. In order to prepare the proof of Theorem 5, let introduce the notation of rays in generalized Pascal pyramids. As usual, a lattice ray in the domain D p of the function p is ... + 3t + 6 − u and a + = n + 3t + 6 + u. Since both a − and a + are of the same parity and a − a + is even, a − and a + must both be even. Thus a − /2 and a + /2 are integers,...

Ngày tải lên: 08/08/2014, 14:23

... presence of intra- abdomina l injury in the absence of hemoperitoneum on FAST can be as high as 29% [11]. In a recent study, 13% of the patients with clinical signs of abdominal injury and a negative ... and the (interventional) radiologist leads to a quicker understanding of the underlying injuries and thus shortens the time between entering the hospi- tal and the initi...

Ngày tải lên: 21/06/2014, 01:20

... h 1" alt =""

Ngày tải lên: 05/08/2014, 09:46

... key. (In this case, one is interested in the distinguishing number of the dihedral groups.) A paper of Albertson and Collins [1] gracefully develops the theory of distinguisha- bility in several ... is d-distinguishable is dubbed the distinguishing number of G, denoted (G). An instantiation of this machinery, mentioned in [1], is the problem of coloring keys on a (circula...

Ngày tải lên: 07/08/2014, 06:22

... number of tilings. Fixing as starting point p 0,0 the western corner of the rhombus in which (0, 0) is either the western corner or an interior point, we obtain that the total number of tilings ... tilings Our proofs of Conjectures 1 and 2 are based on a concrete formula for Z(Σ m,n )intermsof certain rhombus tilings of the plane; see Theorem 1.1 below. The kind of rhombus til...

Ngày tải lên: 07/08/2014, 13:21

... important role in initiating the lignin degrading reaction of the fungus, because they can cleave lignin structures extracellularly in the first step of lignin mineralization (Cullen and Kersten ... 2001). Since the cell death was caused by oxidized cholesterols and, in Caenorhabditis elegans and brain of worker honeybees, oxysterol-binding protein-like protein was detect...

Ngày tải lên: 20/06/2014, 20:20

... N.C.: Information Age Pub. Chen, Yea-Fen and Shih-Chang Hsin. 2011. The development of TCSL teacher training in Taiwan . In Teaching and learning Chinese in global contexts, eds. Linda Tsung and ... minority groups in the People’s Republic of China (Hu and Alsagoff 2010; Zhou and Sun 2004) and Taiwan (Chen and Hsin 2011); in post-colonial contexts such as Singa...

Ngày tải lên: 20/06/2014, 21:20