Báo cáo toán học: "Conjugacy of Coxeter elements" ppsx

... orienta tion. 4 Coxeter elements A Coxeter word has one instance of each letter, so it defines an acyclic orientation of the Coxeter graph. This orientation is in fact well defined by the Coxeter element, ... a corresponding Coxeter word. So, Coxeter elements correspond bijectively to acyclic edge orientations of the Coxeter graph. And we have seen that moving the first lette...

Ngày tải lên: 08/08/2014, 01:20

... this construction we have P (C r ) intersects A(Q). Proof of Theorem 2.6. If C is a k-plex, then C r consists of k copies of each element of Q and thus P (C r ) = P k (Q). By Lemma 4.2, P k (Q) ... every member of P(Q/N) k . Proof. Let |Q| = mk. For any aN ∈ P (Q/N), we may select a system of coset repre- sentatives of N in Q, say {x 1 , . . . , x m }, and some association of...

Ngày tải lên: 07/08/2014, 21:21

... increase in the number of edges of the cube of a regular, co nnected graph. Such an increase was already demonstrated by Hegarty in Theorem 2. Here we give an alternative proof of that theorem, yielding ... diameter of G, diam(G), as the minimal r such that G r is complete (alternatively, the maximal distance between two vertices). Denote the number of edges of G by e(G). For v...

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

... 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

... 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 ... It is apparent from the ToF-SIMS elemental depth profiles (Figure 3) where a significant amount of interdiffusion of TiO, AlO, O, Ga, and As was noticed. As a result of such i...

Ngày tải lên: 20/06/2014, 20:20

... The scheme of the catalyst preparation. Figure 2. TEM image of as-prepared CNTs. The inset shows the histogram of the diameter distribution of CNTs. Figure 3. XRD spectrum of CNTs. Figure ... number of works discussing the transition metals: molybdenum ratio and role of molybdenum in the efficient growth of CNTs with uniform diameter distribution [13-16]. A high am...

Ngày tải lên: 20/06/2014, 20:20

... (NC-OFDM) [1, 2], which is based on the popular orthogonal frequency division multiplexing (OFDM) transmission technique. One of the primary advantages of using NC-OFDM within the context of a ... essential that the spectral shape of the NC-OFDM waveform is treated such that the out -of- band (OOB) radiation is minimized. In addition to the issue of OOB interference, OFDM-based wave...

Ngày tải lên: 20/06/2014, 20:20