Báo cáo toán học: "Traces of uniform families of sets" docx

... construct new infinite families of 3-designs. 1 Introduction A t − (v, k, λ) design is a pair (X, B) where X is a v-element set of points and B is a collection of k-element subsets of X called blocks, ... derive the order of D + f from the number of solutions of y 2 = f(x). In particular, when y 2 = f(x) is in a certain class of elliptic curves, there is an explicit formula f...

Ngày tải lên: 07/08/2014, 15:22

... accumulation vertices of degree 6. Proof. Figure 6 illustrates a construction of a plane graph F 1 that fulfills all conditions of the definition of a plane 13-belt graph except (B1). Splitting of a vertex ... communication and preprint of [2]) that typi- cal constructions of infinite families of simple 3-connected k-crossing-critical graphs create bounded numbers (wrt. k) of...

Ngày tải lên: 07/08/2014, 21:20

... context of Pieri’s rule for symmetric functions, our construction is more related to that of weights of arcs, arising in the context of ideal triangulations of marked Riemannian surfaces [13] Proof. ... |D σ m (µ m = ∅)| equals the number of weighted core of length m, i.e. the number of modular diag r ams of length n. Suppose now we only consider sampling paths of weighed...

Ngày tải lên: 08/08/2014, 12:23

... ∈ F x }. The degree of x is the size of F x . The tra ce of a set F on another set X is F ∩ X and is denoted by F | X . The trace of a family F of sets is just the family of traces, i.e. F| X = ... same sets of F. The number of sets in F containing both x 1 and x 2 is at most  n−2 k−2  , thus removing these sets from F there remains a family F 1 of subsets of [n] \ {x 1...

Ngày tải lên: 07/08/2014, 21:21

... 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

... 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

... T.ByLemma2.2andthe property of the functional 〈·,·〉 + a 2 〈∇·, ∇·〉, the conclusion holds. □ Proof of Theorem 2.3 From Lemmas 3.1-3.3, we can deduce the result easily. □ 4 Proof of Theorem 2.4 Similarly to the proof of ... energy method to the proof of Theorem 3.1 in Qin, Yang and Liu [10], we can deduce the boundedness of u and the existence of absorbing set. □ Lemma 4.2 Und...

Ngày tải lên: 20/06/2014, 21:20

... goal of activity analysis is to automatically classify the activities into predefined categories. The perfor- mance of supervised statistical classifiers often depends on the availability of labeled ... classifier results after applying accumulation of evidence are shownintheformofconfusionmatrixinTable7.The majority of the classifier errors occur during the transi- tion of states...

Ngày tải lên: 20/06/2014, 21:20

... (3/19) of the border 29 Table 5. Optimization of AMT conditions in 100 ml of liquid IM Number of conidia Number of Agrobacterium cells Ra tio of conidia : Agrobacterium Mean of transformants ... integration sites. A comparison of both sides of the flanking sequence tags adjacent to the T-DNA with the draft genome sequence of A. aculeatus revealed that deletion...

Ngày tải lên: 20/06/2014, 21:20