Báo cáo toán học: "Inversions within restricted fillings of Young tableaux" doc

... inversions within restricted fillings of Young tableaux. These restricted fillings are of interest because they describe geometric properties of certain subvarieties, called Hessenberg varieties, of flag ... motivation is a result of Tymoczko in [T] which gives the Betti numbers of certain subvarieties of flag varieties in terms of the number of restricted fil...

Ngày tải lên: 07/08/2014, 13:21

... area |c| of the polyomino c is the number of its unit squares. We denote by C n the set of all the polyominoes of area n. The perimeter P (c) of a polyomino c is the number of unit edges of the ... that for the values of n listed in the theorem, the sets of the minimal antecedents through the sequence of transformations of the canonical polyomino coincides with the set...

Ngày tải lên: 07/08/2014, 06:20

... space of Erd˝os-R´enyi Random graphs with parameters n and p, where p  log 6 n n . Also, let A be the adjacency matrix of G, and v 1 be the first eigenvector of A. We provide two short proofs of the ... Proofs 3.1 The First Proof In this section we present the first proof of Theorem 1. We will need the following result about random graphs [10, 16]. Theorem 2. Let A be the adjacency m...

Ngày tải lên: 08/08/2014, 01:20

... corner of n in ǫ ∗ (S) is northeast of the corner of n in S. If the promotion path of S ends with a horizontal (left) move, then the corner of n in ǫ ∗ (S) is southwest of the corner of n in ... let N = k(k + 1). If a cycle of length C appears, then C is a divisor of N, but not a divisor of N/2 . Proof. The cycle size C is a divisor of N since the order of promotion |∂...

Ngày tải lên: 08/08/2014, 12:23

... found at the extremities of the horizontal profile Figure 7a. Variation of the simulated and mea- sured of the ratio transmitted/Incident Blue Fluence in a vertical profile in shaded and sunlit areas ... that the assessment of MAR distribution in canopies would need more accurate calculation of radia- tion scattering, a precise model of the spectral of the diffuse proportion of...

Ngày tải lên: 08/08/2014, 14:22

... average number of reached nodes— it is a sort of approximated indicator of the “depth” of the propagation process. Since the RE can be interpreted as the ratio between the average number of reached ... conditions— this is the very idea of IF. The shape of p, as a function of d, is shown in Figure 5, for different values of c and ρ s . It can be observed that the PAF of SIF...

Ngày tải lên: 20/06/2014, 20:20

... Visual comparison of denoising results. (a) Original image; (b) noisy image; (c) SSIM-map of noisy image; (d) KSVD-MSE; (e) SSIM-map of KSVD-MSE; (f) KSVD-SSIM; (g) SSIM-map of KSVD-SSIM. Figure ... Visual comparison of denoising results. (a) Original image; (b) noisy image; (c) SSIM-map of noisy image; (d) KSVD-MSE; (e) SSIM-map of KSVD-MSE; (f) KSVD-SSIM; (g) SSIM-map of KSV...

Ngày tải lên: 20/06/2014, 20:20

... the large amount of cadmium-containing waste during the deposi- tion process. Therefore, the development of a Cd-free buffer layer is one of the major objectives in the field of CIGS solar cells. Today, ... 7:26 http://www.nanoscalereslett.com/content/7/1/26 Page 7 of 7 The influence of the substrate temperatures on the sur- face morphology of the films was investigated using th...

Ngày tải lên: 20/06/2014, 21:20

... force microscopy [AFM] images of the TiO 2 /ZrO 2 thin films. One can clearly seethatthesurfacemorphologyofthefilmsdepends on the annealing temperature. The RMS roughness of the as-deposited film ... 7:31 http://www.nanoscalereslett.com/content/7/1/31 Page 3 of 5 Acknowledgements This work is supported in part by the National Nature Science Foundation of China (No. 51072049), STD and...

Ngày tải lên: 20/06/2014, 21:20

... ion of orde r s = s( f) <∞, and let l’ and l’’ be, respectively, the exponent of convergence of the zeros and poles of f. Then for any given ε >0, there exists a set E ⊂ (1, ∞) of |z|=r of ... a     =2|−exp{z k }| ≤ 2 exp{r k }, (4:4) which contradicts that s(f) >2. This completes the proof of Theorem 1.2. 5 Proof of Theorem 1.3 Since f and L 3 (f) share P CM, we...

Ngày tải lên: 20/06/2014, 21:20