Feature-based visualization of flow fields has proven as an effective tool for flow analysis. While most flow visualization techniques operate on vector field data, our visualization techniques make use of a different simulation output: Particle Tracers. Our approach solely relies on integral lines that can be easily obtained from most simulation software. The task is the visualization of dense...

UFLIC (Unsteady Flow Line Integral Convolution) is an effective texture synthesis technique to visualize unsteady flow with enhanced temporal coherence, but it is time-consuming to generate. This paper presents an accelerated algorithm, called AUFLIC (Accelerated UFLIC), to speed up the UFLIC generation. Our algorithm saves, re-uses, and updates pathlines in the value scattering processes. A fl...

Given a ∈ L(R) and A the generator of an L-integrable family of bounded and linear operators defined on a Banach space X, we prove the existence of almost automorphic solution to the semilinear integral equation u(t) = ∫ t −∞ a(t − s)[Au(s) + f(s, u(s))]ds for each f : R × X → X almost automorphic in t, for each x ∈ X, and satisfying diverse Lipschitz type conditions. In the scalar case, we pro...

We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inho-mogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obt...

We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inho-mogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obt...

modeling is one of the most interesting areas in various fields of science. unfortunately data quality, which has an important role in the modeling, is not considered. in fact, most often processes encounter disturbances which results in the collection of abnormal data and may lead to a model different from the real behavior of the process. on the other hand, most of real industrial processes a...

Let p be a unitary representation of the subgroup K of the finite group 0, with inclusion map / . Then, if /, and /# denote the transfer maps for representation theory and cohomology respectively, Knopfmacher [8] has proved that, for all k ^ 1, there exist positive integers Mk such that Mk(k\chk(fiP))=U(Mkk\ohk(P)). Here ch& denotes the fcth component of the Chern character, so that k! chfc is ...

Nuclear γ-ray lines constitute the most genuine diagnostic tool of nuclear astrophysics, since they allow for an unambiguous identification of isotopic species. Continuous improvement in instrumentation led to the discovery of several radioactive species in the past 15 years (Al, Co, Co, Ti) in various astrophysical sites (SN1987A and SN1991T, Cas-A, the Milky Way disk). These discoveries boost...

Let be a positive measure on the real line, with associated orthogonal polynomials fpng and leading coe¢ cients f ng. Let h 2 L1 (R) . We prove that for n 1 and all polynomials P of degree 2n 2, Z 1 1 P (t) pn (t) h pn 1 pn (t) dt = n 1 n Z 1 1 h (t) dt Z P (t) d (t) : As a consequence, we establish weak convergence of the measures in the lefthand side. Orthogonal Polynomials on the real line, ...