GENERALIZATION OF A THEOREM OF CLIFFORD

... trees, and then the parser will halt The essential properties of offline parable grammars are these: Theorem It is decidable whether a given unification grammar is offline parsable Proof: It is ... unifier of An and A' (after suitable renaming of variables) Then the set of ground instances of lists in D n is the set of chain derivations of length n in the ground...

Ngày tải lên: 21/02/2014, 20:20

... receive more training instances by collecting instances for fine-grained roles Thus, semantic roles with few training instances are expected to receive additional clues from other training instances ... follows: ˜ 4.3 Semantic type of phrases We consider that the selectional restriction is helpful in detecting the semantic roles FrameNet provides information concerning the sem...

Ngày tải lên: 17/03/2014, 01:20

... Fellowship Author details Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 2Center for Advanced Mathematics and Physics, National ... (1.4) The Weyl transform representation of the functions (1.1) and (1.2) leads to new identities for the family of the zeta functions [1] Here we provide a new...

Ngày tải lên: 21/06/2014, 02:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... Pk,l ]p,q forms the bibasic factorial factor of P of maximal length k Iterating this procedure one gets a factorization of P in terms of “greatest” factorial factors Definition We say that P1 , ... [Pk ]p,q p,q Proof Due to the choice of the bibasic shift operator , the proof of the so-called Fundamental qGFF Lemma (cf Paule and Riese [9, Lemma 1]) can be carried over to the bi...

Ngày tải lên: 07/08/2014, 06:20

... Generalization of the Braid Arrangement The classical braid arrangement An in complex n-space is given by the “thick” diagonals Hij : zi = zj for ≤ i < j ≤ n The braid arrangement, also known as the ... coordinates and leaving Acol,s invariant n By a calculation of the character of Sn on the homology of the order complex of LAcol,s n and using a formu...

Ngày tải lên: 07/08/2014, 06:20

... 1, and thus provide another proof of the totally symmetric self-complementary plane partitions conjecture However, there is even a two-parameter generalization of (5.2), (namely the determinant ... research process it was the other way round This proof was found first and provided (some of) the inspiration for the later proofs of Theorems and Step An equivale...

Ngày tải lên: 07/08/2014, 06:20

... n and in the particular case of R induced by an injective mapping, Theorem improves Theorem To deal with the generalization of the most important and most difficult case of Theorem — that of small ... 0.80 The proofs of Theorems 1–4 are mostly combinatorial, with a somewhat surprising interference of graph theory in the proof of Theorem — see also Section 4, the...

Ngày tải lên: 07/08/2014, 06:20

... Erd˝s, Rubin, and Taylor) o A vertex t-coloring of a hypergraph H is panchromatic if each of the t colors is used on every edge of G Thus, an ordinary 2-coloring is panchromatic Some results on the ... R Woodall, Density conditions for panchromatic colourings of hypergraphs, Combinatorica, 21 (2001), 515–541, [9] J Radhakrishnan and A Srinivasan, Improved bounds...

Ngày tải lên: 07/08/2014, 06:23

... 6, 10, 7) As discussed in the proof of Proposition 2, the equality of the diagram squares of rank at most m − for π and σ = Φm (π) means that σi = πi for all i for which there exist at most m ... (i, j) ∈ Om (π) Proof For any m ≥ 2, let D be the set of all diagram squares of rank at most m − The proof is based on the following procedure First represent the elements of D as...

Ngày tải lên: 07/08/2014, 07:21

... loop One verifies from the definition of dinv that the number of inversion pairs of Π of the form (x, y) with rowx of length i, rowy of length i + and x not a D row equals the number of inversion ... electronic journal of combinatorics 10 (2003), #R16 (54) 18 The case t = of Conjecture now follows from the known formula for the Frobenius series of the space of harmonics in...

Ngày tải lên: 07/08/2014, 07:21

... x, y Proof As x and y are abelian, and a transitive abelian subgroup is regular [3, Theorem 4. 2A (v)], we have that fix x (B) and fix y (B) have order k and x /B, y /B are cyclic of order m As Zm ... doubly-transitive case was reduced by P´lfy to the imprimitive case using a the fact that all doubly-transitive groups are known [2], which is a consequence of the Classifica...

Ngày tải lên: 07/08/2014, 13:21

... it is clearly also a common refinement of xˆ and zˆ, too Hence xˆ ∼ zˆ If Case (2) holds, that is, if w ˆ is a refinement of uˆ GENERALIZATION OF A THEOREM OF CLIFFORD and wˆ ˆ a is a common ... have already seen that A is an abelian lattice-ordered group having P as its positive cone The set C∞ of all xˆ such that p(ˆ x) = is clearly a filter of P Note that p(...

Ngày tải lên: 14/10/2015, 15:22