Rogue wave patterns in the nonlinear Schrödinger equation are analytically studied. It is shown that when an internal parameter rogue waves (which controls shape and phase of initial weak perturbations to uniform background) large, these would exhibit clear geometric structures, which formed by Peregrine shapes such as triangle, pentagon, heptagon nonagon, with a possible lower-order at its cen...

Temperature gradient gel electrophoresis (TGGE) and related methods can separate DNA fragments that differ by a single base pair or defect. This article describes the basic features of TGGE, and reviews the theoretical model of DNA unwinding and its ability to predict DNA mobility in a temperature gradient gel. Recent applications of TGGE and related methods that were directed at detecting poin...

In this paper, we provide state sum path integral definitions of exotic invertible topological phases proposed in the recent paper by Hsin, Ji, and Jian [arXiv:2105.09454 [cond-mat.str-el]. The phase has time-reversal $(T)$ symmetry, depends on a choice space-time structure called Wu structure. cannot be captured classification any bosonic or fermionic thus gives novel class phases. When $T$ sy...

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states and the topological defect trajectories, through considerations of different mechanisms of vortex motion and the bifurcation of soliton-like stationary soluti...

We present a brief review of recent advances in the atomistic modeling of segregation and precipitation kinetics in iron-chromium alloys, during thermal ageing and under irradiation. The approach takes into account the real diffusion mechanisms: vacancy and, under irradiation, self-interstitial jumps. Migration barriers are computed with effective pair interactions fitted on ab initio calculati...

The Moore bound constitutes both an upper bound on the order of a graph of maximum degree d and diameter D = k and a lower bound on the order of a graph of minimum degree d and odd girth g = 2k + 1. Graphs missing or exceeding the Moore bound by ǫ are called graphs with defect or excess ǫ, respectively. While Moore graphs (graphs with ǫ = 0) and graphs with defect or excess 1 have been characte...

fixed myocardial defects in both stress and rest images, could be artifactual as a result of soft tissue attenuation. to increase specificity and identify the false positive results, we used gated technique to evaluate the wall motion and wall thickening as an index to differentiate real ischemic lesions from artifactual defects. 93 patients were studied. in 46 patients (48.8%) fixed perfusion ...

let g be a (p,q) graph. an injective map f : e(g) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: v (g) → z - {0} defined by f*(v) = σp∈ev f (e) is one-one where ev denotes the set of edges in g that are incident with a vertex v and f*(v (g)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} u {±k(p+1)/2} according a...

background: there is some evidence indicating improvement in myocardial performance after atrial septal defect closure, either device closure or surgical, but ventricular dyssynchrony has not been evaluated before and after surgical closure. the aim of this study was to evaluate ventricular mechanical dyssynchrony in patients with atrial septal defect before and after surgical closure. methods:...

a one-month-old male terrier dog was referred in shock status with a history of anorexia, tachypnea, abdominal distention and progressive weight loss. auscultation of right side of the lungs found enhanced respiratory noises. the thorough auscultation of the opposite side of the chest revealed the presence of typical intestinal sounds. cardiac auscultation revealed muffled heart sounds and a di...