The Shell Model SU(3) symmetry was discovered by Elliott in 1958 and since then has been the algebraic realization of Nuclear Model. It is considered to be a fermionic nuclear model, it tackles with occupancies orbitals nucleons. proved that appears LS (spin-orbit) coupling scheme On other side Interacting Boson proposed Arima Iachello 1975 boson model. bosons are being derived nucleon pairs. B...

As an special intuitionistic fuzzy set defined on the real number set, triangular intuitionistic fuzzy number (TIFN) is a fundamental tool for quantifying an ill-known quantity. In order to model the decision maker's overall preference with mandatory requirements, it is necessary to develop some Bonferroni harmonic mean operators for TIFNs which can be used to effectively intergrate the informa...

We derive a formula for the number of pre-images under non-degenerate harmonic mapping $f$, using argument principle. This reveals connection between and caustics. Our results allow to deduce $f$ geometrically every non-caustic point. approximately locate points near Moreover, we apply our prove that $k = n, n+1, \ldots, n^2$ there exists polynomial degree $n$ with $k$ zeros.

Shown ®rst is the equivalence between the multiple expansion (ME) of the brain electrical generator and the spherical harmonic spectra (SHS) of the potential generated by the electrical generator in an in®nite volume conductor. Based on the equivalence, the SHS and the spatial ®lters which connect the SHS with the ME are deduced, in a concentric 3 sphere conductor and for the 5 EEG source mappi...

The use of a Numerical Weather Model (NWM) to provide in situ atmosphere information for mapping functions of atmosphere delay has been evaluated using Very Long Baseline Interferometry (VLBI) data spanning eleven years. Parameters required by the IMF mapping functions (Niell 2000, 2001) have been calculated from the NWM of the National Centers for Environmental Prediction (NCEP) and incorporat...

We show that a polynomial Hˆ(N) of degree N harmonic oscillator hamiltonian allows us to devise fully solvable continuous quantum system for which the first discrete energy eigenvalues can be chosen at will. In general such choice leads re-ordering associated eigenfunctions Hˆ number their nodes does not increase monotonically with increasing level number. Systems have certain ‘universal’ featu...

The class SH consists of univalent, harmonic, and sense-preserving functions f in the unit disk, ∆, such that f = h + g where h(z) = z + ∑∞ 2 akz , g(z) = ∑∞ 1 bkz . Using a technique from Clunie and Sheil-Small, we construct a family of 1-slit mappings in SH by varying ω(z) = g ′(z)/f ′(z). As ω(z) changes, the tip of the slit slides along the negative real axis from the point 0 to −1. In doin...

The human brain may be considered as a genus-0 shape, topologically equivalent to a sphere. Various methods have been used in the past to transform the brain surface to that of a sphere using harmonic energy minimization methods used for cortical surface matching. However, very few methods have studied volumetric parameterization of the brain using a spherical embedding. Volumetric parameteriza...

For nonlinear systems affine in the input with state x ∈ R, input u ∈ R and output y ∈ R, it is a well-known fact that, if the function mapping (x, u, . . . , u(n−1)) into (u, . . . , u(n−1), y, . . . , y(n−1)) is an injective immersion, then the system can be locally transformed into an observability normal form with a triangular structure appropriate for a high-gain observer. In this technica...

A procedure for the parameterization of surface meshes of objects with spherical topology is presented. The generation of such a parameterization has been formulated and solved as a large constrained optimization problem by Brechbühler, but the convergence of this algorithm becomes unstable for object meshes consisting of several thousand vertices. We propose a new more stable algorithm to over...