Báo cáo toán học: "Positivity of three-term recurrence sequences" doc

... our proof of Proposition 2.1. Acknowle dgment The author thanks Prof. Y. Wang, who first ask her about the positivity problem of recurrence sequences and give helpful suggestions in the preparation of ... Anal. 14 (1983) 396–398. the electronic journal of combinatorics 17 (2010), #R57 8 Positivity of three-term recurrence sequences ∗ Lily L. Liu School of Mathematical Science...

Ngày tải lên: 08/08/2014, 12:22

... submatrix of  B made up of the rows of  B indexed by S, is skew symmetric. The cluster of the seed (x,  B) is the set of variables {x m : m ∈ S}, a nd the coefficients are the set of variables ... of combinatorics 16 (2009), #R140 39 The proof of this theorem uses the standard Pl¨ucker r elations, and is similar to the case of the Q-system. We theref ore present the detail...

Ngày tải lên: 08/08/2014, 01:20

Ngày tải lên: 05/08/2014, 15:21

Ngày tải lên: 05/08/2014, 15:21

Ngày tải lên: 05/08/2014, 15:21

... formulations and extensions of the theorem, a new proof by Rusza [9] and significant modification by Bilu of Freiman’s proof. In [1] Bilu presents his proof in the context of an exposition of the Main Theorem ... Q ≥ 2. By a period of x we shall mean a Q-letter word of x.Letν be the a-width of x (as in Proposition C (iii)) and R 1 the number of b’s per period of x.IfR 1 =1,the...

Ngày tải lên: 07/08/2014, 06:23

... 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

... method of the synthesis of metal hexacyanoferrate nanoparticles. Keywords: reverse micelles; template method; nanoparticles; nickel hexacyanoferrate. - 9 - the nanostructure of the ... Possible mechanism for the synthesis of Nihcf nanoparticles: (a) dissolution of all the ionic species, (b) formation reaction of nuclei of Nihcf, and (c, d) growth of nanoparticles...

Ngày tải lên: 20/06/2014, 20:20

... 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 increase the adsorption of ... nanofibers can be observed at the surface of the film, so the nanofiber-added TiO 2 film has an advantage to having higher adsorption of dye molecules and also supports the...

Ngày tải lên: 20/06/2014, 20:20