The nonlinear dynamics of a transverse galloping blunt body oscillator is analyzed with respect to its geometric shape and size. The oscillator's equation of motion is studied using an approximation for the lateral aerodynamic force that is a polynomial function of the angle of attack. The harmonic balance method is used to solve the nonlinear differential equation of motion. This solution is u...

Some ideas are presented concerning the question which of the harmonic wavefunctions constructed in [hep-th/9909191] may be annihilated by all supercharges. In an attempt to extend our knowledge about the asymptotic form of zeroenergy wave functions of SU(N) invariant supersymmetric matrix models beyond N = 2, it was recently shown [1], for N = 3, how to construct Weyl ⊗ Spin(d) invariant asymp...

The problem of extracting sinusoid signals from noisy observations made at equally spaced times is considered. Eigenanalysis methods, such as Pisarenko’s method and the extended Prony method, find the eigenvector with minimum eigenvalue of a suitably chosen matrix, and then obtain the complex sinusoids as the roots of the polynomial which has the components of the eigenvector as coefficients. F...

The properties of monomials, homogeneous polynomials and harmonic polynomials in d-dimensional spaces are discussed. The properties are shown to lead to formulas for the canonical decomposition of homogeneous polynomials and formulas for harmonic projection. Many important properties of spherical harmonics, Gegenbauer polynomials and hyperspherical harmonics follow from these formulas. Harmonic...

the topological index of a graph g is a numeric quantity related to g which is invariant underautomorphisms of g. the vertex pi polynomial is defined as piv (g)  euv nu (e)  nv (e).then omega polynomial (g,x) for counting qoc strips in g is defined as (g,x) =cm(g,c)xc with m(g,c) being the number of strips of length c. in this paper, a new infiniteclass of fullerenes is constructed. the ...

We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue interpolated introduced by Yamamoto. introduce several relations among them and, in particular, prove the cyclic sum formula, Bowman--Bradley type weighted formula. The harmonic relation, shuffle duality derivation relation are also presented.

The aim of the paper is to find polynomial parametric equations rectifying Salkowski curves in Minkowski 3-space, via a serial approach. These are characterized by according their curvature; particular those with constant curvature functions and linear harmonic fully characterized. Then, obtained as solutions differential third-order coefficients.

This paper analyses how color information gets encoded along the retinal pathway in the time-frequency domain (TFD). A multinomial (multivariate polynomial) encoding for chromatic information is established based on the spatiotemporal spike trains corresponding to input stimuli varying in hue & saturation. Simulation tools are used to generate the spike trains from the retinal layers. The Gabor...

Motivated by previous work on the simplification of parametrizations of curves, in this paper we generalize the well known notion of analytic polynomial (a bivariate polynomial P (x, y), with complex coefficients, which arises by substituting z → x+ iy on a univariate polynomial p(z) ∈ C[z], i.e. p(z)→ p(x+ iy) = P (x, y)) to other finite field extensions, beyond the classical case of R ⊂ C. In...