This paper describes a new approach to spectral response computation of an arbitrary 2D waveguide. This technique is based on the Tangential Vector Finite Element Method (TVFEM) in conjunction with the Asymptotic Waveform Evaluation (AWE) technique. The former is used to obtain modes characteristics for a central frequency, whereas the latter employs an eecient algorithm to compute frequency mo...

Uncertainty theory is a branchof axiomaticmathematics formodelingbelief degrees. This theory provides a new mathematical tool for indeterminacy phenomena. Uncertain variable is a fundamental concept in uncertainty theory and used to represent quantities with uncertainty. There are some important characteristics about uncertain variables. The expected value of uncertain variable is its average v...

We discuss a general framework for determining asymptotics of the expected value of random variables of the form f(X) in terms of a function f and central moments of the random variable X . This method may be used for approximation of entropy, inverse moments, and some statistics of discrete random variables useful in analysis of some randomized algorithms. Our approach is based on some variant...

This paper proposes a method for matching images based on their higher order moments without knowing the point correspondences. It is assumed that the disparity between the images can be explained by an affine transformation. The second order statistics is used to transform the image points into canonical form, which reduces the affine matching problem for determining an orthonormal transformat...

We study the nonlinear stochastic heat equation in the spatial domain R, driven by space–time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but this measure may also have noncompact support and even be nontempered (e.g., with exponentially growing tails). Existence and uniqueness of a r...

This paper proposes an automated system for rotation and scale invariant color logo recognition. Colored logo images are recognized using one shape feature namely Moments Invariant and a color feature namely Color Moments. Shape of the logo is modeled using the first two central normalized Hu's invariant moments while color is modeled using the mean, standard deviation, skewness and kurtos...

Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic patterns. They are characterized by decay of correlations of order 1/n and a central limit theorem with a non-classical scaling factor of √ n logn. As for the growth of the pth moments of the appropriately normalized Birk...

Flajolet and Soria established several central limit theorems for the parameter “number of components” in a wide class of combinatorial structures. In this paper, we shall prove a simple theorem which applies to characterize the convergence rates in their central limit theorems. This theorem is also applicable to arithmetical functions. Moreover, asymptotic expressions are derived for moments o...

Heavy flavour baryons containing one or two charm quarks with light flavour combinations are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index ν. The ground state masses and the magnetic moments of charmed, J = 1 2 + and 32 + baryons are computed for different power index, ν s...