Báo cáo toán học: "Moments of characteristic polynomials enumerate two-rowed lexicographic arrays" ppsx

... interpretation of moments of the characteristic polynomials enables an explicit formula to be obtained for the total number of two-rowed lexicographic arrays constructed from the letters of an alphabet of ... provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected con- sequence of the Keating and Snaith c...

Ngày tải lên: 07/08/2014, 07:21

... +1, so that all of the prime factors of m are certainly ≤ m ≤ √ 2z + √ z +1. But then, all of the prime factors of m belong to S J (as we saw in the first paragraph of this proof), and so m belongs ... proof of Theorem 2 Corollary 2. Fix the real number z ≥ ( √ 2 − 1) 2 . Suppose that the product of some subset of the integers in I =[ √ 2z − √ z, √ 2z + √ z +1], equals N times...

Ngày tải lên: 07/08/2014, 06:22

... that ∆ is a triangulation of a polytopal complex F if the union of the faces of ∆ is equal to the union of the faces of F and every face of ∆ is contained in a face of F.In particular we do not ... triangulations of polytopal complexes needed for the proof of Theorem 1.1. For any polytopal complex F and set of points σ in R N we denote by F\σ the subcomplex of faces of...

Ngày tải lên: 07/08/2014, 08:22

... upper rank of the hypergraph – that is, the size of the largest hyperedge. The proofs of Theorems 1 and 2 involve the use of the combinatorial nullstellensatz [2]. the electronic journal of combinatorics ... #N22 2 A note on polynomials and f-factors of graphs Hamed Shirazi Jacques Verstra¨ete Dept of Combinatorics & Optimization Dept of Mathematics & Statistics Univ...

Ngày tải lên: 07/08/2014, 15:22

... invariants. 3 A List of Interesting Polynomials In this section, we define several polynomials involving combinatorial aspects of hyper- graphs that are often studied. Most of these polynomials generalize ... definition of f(π) given in the paper of Dohmen et al [DPT03]. By abuse of notation, we write e ⊆ π to mean the vertex set of e is a subset of some block of π. Fina...

Ngày tải lên: 08/08/2014, 14:23

... definition of the quantum yield as follows: # of emitted photons # of absorbed photons Φ ≡ , (3) the number of emitted photons indicates the multiplication of the quantum yield and the number of ... morphologies of HeLa cells cultured on a flat PDMS surface. Quantification of Aβ peptides via detection of FITC We investigated the applicability of our p-FET sensor t...

Ngày tải lên: 20/06/2014, 20:20

... crlin@ntut.edu.tw 1 Department of Mechanical Engineering and Institute of Manufacturing Technology, National Taipei University of Technology, Taipei, 106, Taiwan Full list of author information is available at the end of ... beamline of the National Synchrotron Radiation Research Center (NSRRC). This work was financially supported by the main research projects of the National Sc...

Ngày tải lên: 20/06/2014, 20:20

... indexing of the electron diffraction pattern of the sample with a [040] direction that coincides with the space group F43m characteristic of the Nihcf [49]. Figure 6 confirms the existence of small ... method of the synthesis of metal hexacyanoferrate nanoparticles. Keywords: reverse micelles; template method; nanoparticles; nickel hexacyanoferrate. - 9 - the nanos...

Ngày tải lên: 20/06/2014, 20:20

... with different amounts of TN. Figure 5. Photocurrent-voltage characteristics of TiO 2 film with different amounts of ATN. Figure 6. Photocurrent density and η η η η of pure TiO 2 films ... synthesis of the wide bandgap of TiO 2 , the small particle size of 10 to approximately 20 nm, the wide surface area of TiO 2 , and the porosity. As stated above, these can incr...

Ngày tải lên: 20/06/2014, 20:20

... diffusion for GaAs/Ge epitaxy. Figure 3. ToF-SIMS depth profile of elements Ti, Al, AlO, TiO, O, Ga, and As. These are the depth profile of the elements of the ALD TiO 2 /Al 2 O 3 dielectric stack ... in the inset of Figure 4. Figure 5 shows the plots of C-V characteristics of the ALD TiO 2 /Al 2 O 3 gate stack on Zn-doped epi-GaAs with two different doping concentration...

Ngày tải lên: 20/06/2014, 20:20