in this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group g and give four equivalent conditions each ofwhich characterizes this relation. we demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. moreover, we study the behavior of these equivalence classes under theaction of a...

A straight cylindrical duct is considered containing an axial mean flow that uniform everywhere except within a boundary layer near the wall, which need not be thin. Within this varies parabolically. The linearized Euler equations are Fourier transformed to give Pridmore-Brown equation, for Green's function constructed using Frobenius series. critical gives non-modal contribution from continuou...

The max-k-cut problem is to partition the vertices of a weighted graph G = (V, E) into k ≥ 2 disjoint subsets such that the weight sum of the edges crossing the different subsets is maximized. The problem is referred as the max-cut problem when k = 2. In this work, we present a multiple operator heuristic (MOH) for the general max-k-cut problem. MOH employs five distinct search operators organi...

Sound generation from a vibrating circular piston is a classical acoustic problem. The goal of this paper is to simulate numerically the sound radiation produced by oscillating baffled pistons, using both linear and nonlinear model, and to consider the interplay between wave propagation and geometric complexities. The linear solution, based on the linear Euler equations, will be compared to the...

The two-dimensional velocity potential associated with the scattering of linear waves in water of finite but non-uniform depth is shown to be unique for Khmax ≤ 1. Here hmax is the maximum depth of the fluid and K = ω2/g, where ω is the angular frequency and g is the acceleration due to gravity. Uniqueness is established by proving that the homogeneous boundary value problem for the velocity po...

Studies on the IJ=00 ππ and KK̄ coupled–channel system are made using newly derived dispersion relations between the phase shifts and poles and cuts. It is found that the σ resonance must be introduced to explain the experimental phase shifts, after evaluating the cut contribution. The effects of nearby branch point singularities to the determination of the f0(980) resonance are also carefully c...

Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the conf...

Results are presented for the 3D numerical simulation of the water impact of a wave energy converter in free fall and subsequent heave motion. The solver, AMAZON-3D, employs a Riemann-based finite volume method on a Cartesian cut cell mesh. The computational domain includes both air and water regions with the air/water boundary captured automatically as a discontinuity in the density field ther...

The Fisher-Kolmogorov-Petrowskii-Piscounov (FKPP) equation with cut-off was introduced in [E. Brunet and B. Derrida, Shift in the velocity of a front due to a cutoff, Phys. Rev. E 56(3), 2597–2604 (1997)] to model N -particle systems in which concentrations less than ε = 1 N are not attainable. It was conjectured that the cut-off function, which sets the reaction terms to zero if the concentrat...