The aim of this article is to present the exact analytical solution for models as system (2+1) dimensional PDEs by using a reliable manner based on combined LA-transform with decomposition technique and results have shown high-precision, smooth speed convergence compared other classic methods. suggested approach does not need any discretization domain or presents assumptions neglect small param...

We present a new method for optimally computing the 3-D rotation from two sets of 3-D data. Unlike 2-D data, the noise in 3-D data is inherently inhomogeneous and anisotropic, reflecting the characteristics of the 3-D sensing used. To cope with this, Ohta and Kanatani introduced a technique called “renormalization”. Following them, we represent a 3-D rotation in terms of a quaternion and comput...

We solve for the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra associated with the quantum groups Uq(Xn) for Xn = A1, Bn, Cn and Dn. We employ a generalization of the coordinate Bethe-Ansatz developed previously for the deformed biquadratic spin one chain. As expected, all these models have equivalent spectra, i.e. they differ only in the degeneracy of t...

We study a switching synchronization phenomenon taking place in one-dimensional memristive networks when the memristors switch from the high to low resistance state. It is assumed that the distributions of threshold voltages and switching rates of memristors are arbitrary. Using the Laplace transform, a set of non-linear equations describing the memristors dynamics is solved exactly, without an...

We give a one-parameter family of exact solutions to four-dimensional higher-spin gauge theory invariant under a deformed higher-spin extension of SO(3, 1) and parameterized by a zeroform invariant. All higher-spin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 regions via a dS3-foliated domainwall and two Robertson-Walker-like H3foliated spacetimes – one in ...

1 A Solution Methodology for Exact Design Space Exploration in a Three-Dimensional Design Space1 Samit Chaudhuri 2 Stephen A. Blythe3 Robert A. Walker 4 Cadence Design Systems Rensselaer Polytechnic Institute Kent State University San Jose, CA 95134 Troy, NY 12180 Kent, OH 44242 Abstract| This paper describes an exact solution methodology, implemented in Rensselaer's Voyager design space explor...

in this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and maxwell equations. levy type solution and finite element method using comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compa...