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Optimal Folding of Data Flow Graphs based on Finite Projective Geometry using Lattice Embedding
Projective Geometry Parallel Scheduling Semi-parallel Architecture
2011/9/29
Abstract: A number of computations exist, especially in area of error-control coding and matrix computations, whose underlying data flow graphs are based on finite projective-geometry(PG) based balanc...
Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations
diagnostics three-dimensional Euler Navier-Stokes equations
2011/3/3
Two possible diagnostics of stretching and folding (S&F) in fluid flows are discussed, based on the dynamics of the gradient of potential vor-ticity (q = ω · ∇) associated with solutions of the...
Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations
Stretching folding diagnostics three-dimensional Euler Navier-Stokes equations
2010/12/28
Two possible diagnostics of stretching and folding (S&F) in fluid flows are discussed, based on the dynamics of the gradient of potential vor-ticity (q = ω · ∇) associated with solutions of the...
Stretching and folding versus cutting and shuffling: An illustrated perspective on mixing and deformations of continua
Fluid Dynamics (physics.flu-dyn) Chaotic Dynamics (nlin.CD)
2010/11/10
We compare and contrast two types of deformations inspired by mixing applications -- one from the mixing of fluids (stretching and folding), the other from the mixing of granular matter (cutting and s...
Discrete Nonlinear Schrodinger Equation, Solitons and Organizing Principles for Protein Folding
Discrete Nonlinear Schrodinger Equation Solitons Organizing Principles Protein Folding
2010/12/15
We introduce a novel generalization of the discrete nonlinear Schrodinger equation. It supports solitons that describe how proteins fold. As an example we scrutinize the villin headpiece HP35,an arch...
Folding of set-theoretical solutions of the Yang-Baxter equation
set-theoretical solution of the quantum Yang-Baxter equation parabolic subgroups of Garside groups folding
2010/12/8
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure grou...
In this paper we introduce new types of tiling for some manifolds which have covering spaces. The relations between tilings of manifolds and their covering space are discussed. Theorems governing thes...
Folding on the Cartesian product of manifolds and their fundamental group
manifold folding fundamental group Cartesian product
2009/1/7
In this article, we introduce the fundamental group of foldings
of the Cartesian product of manifolds into itself. Also the fundamental
group of the limit of foldings of the Cartesian product of man...