in this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the hunter-saxton equation. the main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. it is a semi analytical-numerical metho...

In this paper, we want to find out the determiningfactors of Chernoff information in distinguishing a set of Gaus-sian graphs. We find that Chernoff information of two Gaussiangraphs can be determined by the generalized eigenvalues of theircovariance matrices. We find that the unit generalized eigenvaluedoesn’t affect Chernoff information and its corresponding di-mension...

A National Project for the in-vivo dosimetry in radiotherapy: first results A.Piermattei 1 , L. Azario 1 , S. Cilla 2 , A.Fidanzio 1 , F.Greco 1 , M.T.Russo 3 , S. Zucca 4 1 Istituto di Fisica e Unità Operativa di Fisica Sanitaria, Università Cattolica del S. Cuore, Roma 2 Unità Operativa di Fisica Sanitaria, Fondazione per la Ricerca e Cura ‘Giovanni Paolo II’, Campobasso 3 Unità Operative di ...

A labelled transition system is provided with some additional structure by endowing the con gurations and the labels with a complete metric In this way a so called metric labelled transition system is obtained The additional structure on a metric labelled transition systemmakes it possible to generalize the niteness conditions nitely branching and image nite to compactly branching and image com...

Di erent program understanding algorithms often use di erent representational frameworks and take advantage of numerous heuristic tricks. This situation makes it is di cult to compare these approaches and their performance. This paper addresses this problem by proposing constraint satisfaction as a general framework for describing program understanding algorithms, demonstrating how to tranform ...

Scale-space representation has been extensively studied in the computer vision community for analyzing image structures at di erent scales. This paper borrows and develops useful mathematical tools from scale-space theory to facilitate the task of image compression. Instead of compressing the original image directly, we propose to compress its scale-space representation obtained by the forward ...

Let Kk,n be a complete k-partite graph of order n and let K k,n be a generalized complete k-partite graph of order n spanned by the fan set F = {Fn1 , Fn2 , · · · , Fnk}, where n = {n1, n2, · · · , nk} and n = n1 + n2 + · · ·+ nk for 1 6 k 6 n. In this paper, we get the number of spanning trees in Kk,n to be t(Kk,n) = n k−2 k ∏ i=1 (n− ni)i. and the number of spanning trees in K k,n to be t(K k...

Since the introduction of binomial state as an intermediate state, di erent intermediate states have been proposed. Di erent nonclassical e ects have also been reported in these intermediate states. But till now higher order antibunching or higher order subpoissonian photon statistics is predicted only in one type of intermediate state, namely shadowed negative binomial state. Recently we have ...