Many popular circular distributions, including the most commonly used von Mises distribution, are typically symmetric around a modal direction. To enlarge this class, the authors recently discussed families of skew-symmetric distributions, applying this idea to the von Mises model as an important special case. This paper explores further properties of these skew-symmetric families and their mom...

‎‎a natural generalization of two dimensional cyclic code ($t{tdc}$) is two dimensional skew cyclic code‎. ‎it is well-known that there is a correspondence between two dimensional skew cyclic codes and left ideals of the quotient ring $r_n:=f[x,y;rho,theta]/_l$‎. ‎in this paper we characterize the left ideals of the ring $r_n$ with two methods and find the generator matrix for two dimensional s...

This paper provides a systematic and comprehensive treatment for obtaining general expressions of any order, the moments cumulants spherically elliptically symmetric multivariate distributions; results case t-distribution related skew-t distribution are discussed in some detail.

This paper shows how to upgrade the projective reconstruction of a scene to a metric one in the case where the only assumption made about the cameras observing that scene is that they have rectangular pixels (zero-skew cameras). The proposed approach is based on a simple characterization of zero-skew projection matrices in terms of line geometry, and it handles zero-skew cameras with arbitrary ...

The geometry of the real four-qubit Pauli group, being embodied in the structure of the symplectic polar space W (7, 2), is analyzed in terms of ovoids of a hyperbolic quadric of PG(7, 2), the seven-dimensional projective space of order two. The quadric is selected in such a way that it contains all 135 symmetric elements of the group. Under such circumstances, the third element on the line def...

Abstract One well-known approach for reconstruction of a 3D object from two images obtained by calibrated cameras is based on the essential matrix computation. The extrinsic camera parameters can be found by decomposing the essential matrix into skew-symmetric and rotation parts, and then the reconstruction problem can be solved by triangulation. In this paper we present a direct way for such a...

This present paper highlights a methodology for Emotion Recognition based on Skew Symmetric Gaussian Mixture Model classifier and MFCC-SDC ceptral coefficients as the features for the recognition of various emotions from the generated data-set of emotional voices belonging to students of both genders in GITAM University. For training and testing of the developed methodology, the data collection...

The symmetric algebra of a (finite-dimensional) g-module V is the algebra of polynomial functions on the dual space V . Therefore one can study the algebra of symmetric invariants using geometry of G-orbits in V ∗ . In case of the exterior algebra, ∧•V, lack of such geometric picture results by now in absence of general structure theorems for the algebra of skew-invariants (∧•V)g . One may find...