A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-represen...

Starting from the classical r-matrix of the non-standard (or Jordanian) quantum deformation of the sl(2,R) algebra, new triangular quantum deformations for the real Lie algebras so(2, 2), so(3, 1) and iso(2, 1) are simultaneously constructed by using a graded contraction scheme; these are realized as deformations of conformal algebras of (1 + 1)-dimensional spacetimes. Timetype and space-type q...

We present a 1-parameter family of finite action solutions to the S0(2, 1) Hitchin’s equations and explore some of its basic properties. For a fixed value of the parameter, the solution is smooth. We conclude by showing a multi-particle generalization of our basic solutions.

and Applied Analysis 3 of constant solutions of system 3.2 , which consists of three families. Moreover, we have proved sufficient conditions for the existence of local and global bifurcations of nonconstant solutions of system 3.2 from these families. The necessary conditions for the existence of local and global bifurcation of nonconstant solutions of system 3.2 from the families of constant ...

Anatomical, physiological, and lesion data implicate multiple cortical regions in the complex experience of pain. These regions include primary and secondary somatosensory cortices, anterior cingulate cortex, insular cortex, and regions of the frontal cortex. Nevertheless, the role of different cortical areas in pain processing is controversial, particularly that of primary somatosensory cortex...

OBJECTIVE Asymptomatic patients show high degeneration prevalence at lumbar disc in previous literatures. Unfortunately, there are few Korean data, so the authors attempted to analyze the prevalence of disc degeneration in highly selective asymptomatic Korean subjects using MRI. METHODS We performed 3 T MRI sagittal scans from T12 to S1 on 102 asymptomatic subjects (50 men and 52 women) who v...

The chemical locking of the central single bond in core chromophores of green fluorescent proteins (GFPs) influences their excited-state behavior in a distinct manner. Experimentally, it significantly enhances the fluorescence quantum yield of GFP chromophores with an ortho-hydroxyl group, while it has almost no effect on the photophysics of GFP chromophores with a para-hydroxyl group. To unrav...

The localization game is a two player combinatorial played on graph G=(V,E). cops choose set of vertices S1⊆V with |S1|=k. robber then chooses vertex v∈V whose location hidden from the cops, but learn distance between current position and in S1. If this information sufficient to locate robber, win immediately; otherwise another S2⊆V |S2|=k, may move neighboring vertex. new distances are present...

Soluble guanylate cyclases (sGCs) function as heme sensors that selectively bind nitric oxide (NO), triggering reactions essential to animal physiology. Recent discoveries place sGCs in the H-NOX family (heme nitric oxide/oxygen-binding domain), which includes bacterial proteins from aerobic and anaerobic organisms. Some H-NOX proteins tightly bind oxygen (O2), whereas others show no measurable...