Báo cáo toán học: "A Generalisation of Transversals for Latin Squares'''''''' docx

... A Generalisation of Transversals for Latin Squares Ian M. Wanless Christ Church St Aldates Oxford OX1 1DP United Kingdom wanless@maths.ox.ac.uk We define a k-plex to be a partial latin square of ... to be filled. A partial latin square with every cell filled is a latin square. The set of partial latin squares of order n is denoted by PLS(n), and the set of latin squar...

Ngày tải lên: 07/08/2014, 06:23

... The maximum size of an intersecting family of k- spaces was first determined by Hsieh [16]. For alternate proofs of Theorem 1.3, see [4] and [11]. We remark that there is as yet no analog of the shifting ... the intersecting system of subspaces critical. Definition 3.1 An intersecting family F of subspaces of V is critical if for any two distinct F, F ′ ∈ F we have F ⊂ F ′ ,...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... C N as above. 3. Proof of Theorem 1 The idea of the proof is from Rychkov[8]. In fact, we will use the method in [8] with Lemma 3 and Lemma 4. To do the end, we give the proof in three steps. A ... denotes the Fourier transform of ϕ, and ϕ ∨ denotes the inverse Fourier transform of ϕ. Definition 1. If 0 <q p<∞ and f ∈ L q Loc (R n ),wesayf ∈ M p q (R n ) provided that, for any...

Ngày tải lên: 06/08/2014, 05:20