We study N = 2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy. We develop a new recursive method to compute the whole instanton expansion of the prepotential using the theta function associated to the root lattice of the group. Explicit results for the one and two-instanton corrections in SU(N) are presented. Interpreting the slow times of the hie...

ÐIn this research, we propose an algorithm to enhance the accuracy of the hierarchical radiosity. The proposed approach particularly creates links on the hierarchy in a bottom-up fashion according to both a user-speci®ed error tolerance and the minimum patch area. It di€ers from the original hierarchical method that creates the links in a top-down manner. In our approach, the upper-level patche...

image registration driven by a hierarchy of surface diierential features. Abstract: This work proposes a way how to register overlapping range images automatically. We explore the fact that the Euclidean transformation is determined by three pairs of corresponding points only. The main idea of the proposed approach is to reduce the number of points by nding intrinsic (signiicant) ones rst. For ...

The relationship between the nonlinear Schrödinger hierarchy and the parafermion and SL(2,R)/U(1) coset models, analogous to the relationship between the KdV hierarchy and the minimal models, is explained. To do this I first present an in depth study of a series of integrable hierarchies related to NLS, and write down an action from which any of these hierarchies, and the associated second Pois...

The long-time evolution of the KdV-type solitons propagating in ferromagnetic materials is considered trough a multi-time formalism, it is governed by all equations of the KdV Hierarchy. The scaling coefficients of the higher order time variables are explicitly computed in terms of the physical parameters, showing that the KdV asymptotic is valid only when the angle between the propagation dire...

The inheritance class hierarchy is an important characteristic of object orientation. Many aspects of inheritance mechanisms remain controversial. Among others, many questions about the necessity of multiple inheritance have been put forward. Another contribution is given to this question by our experimental study. Dvorak [1994] revealed the phenomenon of conceptual entropy in class hierarchies...

We review recent work on the study of N = 2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy, mainly focusing on three main results: (i) We develop a new recursive method to compute the whole instanton expansion of the low-energy effective prepotential; (ii) We interpret the slow times of the hierarchy as additional couplings and promote them to spu...

We discuss a scenario where at least part of the homogeneity on a brane world can be directly related to the hierarchy problem through warped space. We study the dynamics of an anti-D3-brane moving toward the infrared cutoff of a warped background. After a region described by the DBI action, the self-energy of the anti-D3-brane becomes comparable to the strength of the background. Then the worl...

The theoretical model presented aims primarily at explaining the large variability encountered in speech analysis. It implements a joint processing of speech and voice, and a hierarchy of 6 levels based on time resolution: cochlear output, acoustical indices, phonetic features, phonemes, words, concepts. Perception is viewed as the cooperation of two information flows, bottom-up and top-down. T...

Automated generation of high-quality topical hierarchies for a text collection is a dream problem in knowledge engineering with many valuable applications. In this paper a scalable and robust algorithm is proposed for constructing a hierarchy of topics from a text collection. We divide and conquer the problem using a top-down recursive framework, based on a tensor orthogonal decomposition techn...