The present paper derived shape features on textons and texture orientation for rotation invariant stone texture classification of 2D images. To overcome the sensitive problems and to derive rotational invariant features on textons the present research represented textons on texture orientation matrix by reducing grey level range using a fuzzy logic. The proposed Texture orientation matrix (TOM...

The conventional order parameters in quantum matters are often characterized by 'spontaneous' broken symmetries. However, sometimes the broken symmetries may blend with the invariant symmetries to lead to mysterious emergent phases. The heavy fermion metal URu2Si2 is one such example, where the order parameter responsible for a second-order phase transition at Th=17.5 K has remained a long-stan...

Geometric algebra is used in an essential way to provide a coordinatefree approach to Euclidean geometry and rigid body mechanics that fully integrates rotational and translational dynamics. Euclidean points are given a homogeneous representation that avoids designating one of them as an origin of coordinates and enables direct computation of geometric relations. Finite displacements of rigid b...

In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.

The equiangular cubed sphere is a spherical grid, widely used in computational physics. This paper deals with mathematical properties of this grid. We identify the symmetry group,i.e.the group orthogonal transformations that leave invariant. main result it coincides cube. proposed proof emphasizes metric sphere. study geodesic distance on which reveals shortest arcs match verti...

a heyting algebra is a distributive lattice with implication and a dual $bck$-algebra is an algebraic system having as models logical systems equipped with implication. the aim of this paper is to investigate the relation of heyting algebras between dual $bck$-algebras. we define notions of $i$-invariant and $m$-invariant on dual $bck$-semilattices and prove that a heyting semilattice is equiva...

In holography, the IR behavior of a quantum system at nonzero density is described by near horizon geometry an extremal charged black hole. It commonly believed that for systems on $S^3$, this $AdS_2\times S^3 $. We show not case: generic static, nonspherical perturbations $ blow up horizon, showing it stable fixed point. then construct new which invariant under only $SO(3)$ (and $SO(4)$) symme...

A Heyting algebra is a distributive lattice with implication and a dual $BCK$-algebra is an algebraic system having as models logical systems equipped with implication. The aim of this paper is to investigate the relation of Heyting algebras between dual $BCK$-algebras. We define notions of $i$-invariant and $m$-invariant on dual $BCK$-semilattices and prove that a Heyting semilattice is equiva...