The Lagrangian formulations of fixedrate and variable-rate vector quantization can be combined into a single formulation involving constraints on both entropy and log codebook size. The approach leads to a Lloyd design algorithm and to results on high-rate or high-resolution quantization. It provides both a unified view of the traditional results and an approach to studying the implications of ...

We give an unified formulation for deterministic and stochastic global optimization algorithms via initial and boundary value problems for different first and second order dynamic systems. The ensemble is applied to the design of a fast-micro-mixer. The aim is to optimize a given mixer shape in order to reduce its mixing time. The algorithms are compared from their complexity and optimization e...

In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT). The SSDT theory accounts for through-the-thickness deformation, by considering a sinusoidal evolution of all displacements with the thickness coordinate. The equations of motion and the boundary conditions are ob...

Distance constraints are an emerging formulation that offers intuitive geometrical interpretation of otherwise complex problems. It has applications in problems such as position and singularity analysis and path planning of mechanisms and structures. This paper reviews the recent advances in Distance Geometry providing a unified view of these apparently disparate problems. This survey reviews a...

We consider the exact solution of a many-body problem of spins particles interacting through an arbitrary U(1) invariant factorizable S-matrix. The solution is based on a unified formulation of the quantum inverse scattering method for an arbitrary (2s + 1)-dimensional monodromy matrix. The respective eigenstates are shown to be given in terms of 2s creation fields by a general new recurrence r...

We study differentially flat systems, subject to constraints on the input, state and their derivatives. are interested in providing an approximate characterisation of set trajectories satisfying both equations system constraints. The flatness property choice a polynomial parametrisation terms Bézier functions enable finite dimension formulation problem parameter space control points. Such provi...

Herein, a unified phase-field formulation of fracture in viscoelastic materials is presented. The model characterised by pseudo-energy functional from which the governing equations for and viscous internal variables are derived. Depending on specific choice parameters, has flexibility capturing coupling between mechanisms fracture. By means numerical study, different assumptions compared.

aim and background: in this study we examined the efficacy of unified transdiagnostic treatment in reduction of women with generalized anxiety disorder pathological symptoms. methods and materials: in the present study we used non-congruent multiple baseline experimental single case study design. three women with generalized anxiety disorder (gad) were selected  from patients of tabriz two coun...

We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe dynamical systems with dissipation. The essential tools for the are extended tangent bundles, TkQ×R, whose geometric structures previously introduced in order state Lagrangian and Hamiltonian formalisms these kinds systems, including their variational formulation. principle, forms, equations o...