A geometric interpretation of the duality between two real forms of the complex trigonometric Ruijsenaars-Schneider model is presented. The phase spaces of the models in duality are realized as two different gauge slices in the same inverse image of the moment map defining a suitable symplectic reduction of the standard Heisenberg double of U(n). The collections of commuting Hamiltonians of the...

We employ positivity of Riesz functionals to establish representing measures (or approximate representing measures) for truncated multivariate moment sequences. For a truncated moment sequence y, we show that y lies in the closure of truncated moment sequences admitting representing measures supported in a prescribed closed set K ⊆ R if and only if the associated Riesz functional Ly is K-positi...

Let V H ðC Þ be a variety and let Log denote the logarithmic moment map Log : ðC Þ ! R, ðz1; . . . ; znÞ 7! ðlogjz1j; . . . ; logjznjÞ. The amoeba A of the variety V H ðC Þ is its image under that map. Amoebas were introduced by Gelfand, Kapranov and Zelevinsky in [6]. They show that for varieties of codimension 1, the complement A of the amoeba A in R is a disjoint union of convex regions. If ...

In this note, we give a necessary and sufficient condition for the properness of moment maps representations quivers. We show that map quiver is proper if only acyclic, is, it does not contain any oriented cycle.

A new approach to color image compression with high compression ratios and good quality of reconstructed images using quantization, thresholding, and edge detection all based on the moment-preserving principle is proposed. An input image with 24 bits per pixel is quantized into 8 bits per pixel using a new color quantization method based on the moment-preserving principle. The quantized image i...

A new approach to color image compression with high compression ratios and good quality of reconstructed images using quantization, thresholding, and edge detection all based on the moment-preserving principle is proposed. An input image with 24 bits per pixel is quantized into 8 bits per pixel using a new color quantization method based on the moment-preserving principle. The quantized image i...

Suppose that a compact and connected Lie group G acts on complex Hodge manifold M in holomorphic Hamiltonian manner, the action linearizes to positive line bundle A M. Then there is an induced unitary representation associated Hardy space and, if moment map of nowhere vanishing, corresponding isotypical components are all finite dimensional. We study asymptotic concentration behavior equivarian...

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

the present article focuses on the evaluation of a first-moment closure model applicable to film cooling flow and heat transfer computations. the present first-moment closure model consists of a higher level of turbulent heat flux modeling in which two additional transport equations for temperature variance kθ and its dissipation rate εθ are considered. it not only employs a time scale that is ...

The question of whether architectural creativity is more of an artistic or engineering nature is one with a long history but also one with no conclusive answer. The art camp would argue that technology should be treated as a means towards and end, and that technology alone cannot give meaning to our lives. The engineering camp on the other hand would argue that good problem-solving result...