We give an [Formula: see text] algorithm for computing the text]-dimensional persistent homology of a filtration clique complexes cyclic graphs on vertices. This is nearly quadratic in number vertices text], and therefore large improvement upon traditional algorithm, which cubic simplices dimension at most hence running time text]. Our applies, example, to Vietoris–Rips points sampled from curv...

“Chinese-style Nimby” is a thorny issue in China’s current public governance. Generally speaking, there game relationship between multiple stakeholders the environmental NIMBY conflicts. Given this, study constructs tripartite evolutionary model of government, construction enterprises and surrounding residents, uses MATLAB to numerically simulate system. The results show: 1) effect government n...

In part II of this group of papers, the control of the gait of a biped robot during rectilinear walk was considered. The modeling approach and simulation, using Kane’s method with implementation leveraged by Autolev, a symbolic computational environment that is complementary, was discussed in part I. Performing turns during the walk is technically more complex than the rectilinear case and dese...

Thinning the buffer layer thickness between GaN epilayer and Si substrate without introducing large residual stress is persistently desired for GaN-on-Si devices to promote their thermal budgets low-cost, multifunctional applications. In this work, heterostructures were directly bonded at room temperature by surface activated bonding (SAB) therein states investigated confocal micro-Raman. The e...

Abstract The genus Operculina , a large symbiont-bearing benthic foraminifer, is characterized by high morphological variability showing thick involute to intermediate semi-involute flat evolute tests. Different morphotypes are either considered as ecophenotypes or distinct species. In order test the hypothesis of versus different species, single cell throughput sequencing approach was applied ...

This paper presents a novel approach to continuously and robustly tracking critical (geometrically, perpendicular and/or extremal) distances from a moving plane point p ∈ R to a static parametrized piecewise rational curve γ(s) (s ∈ R). The approach is a combination of local marching, and the detection and computation of global topological change, both based on the differential properties of a ...

Abstract Background Impella is a trans-aortic valvular pump commonly utilized in patients with cardiogenic shock. However, its use transcatheter aortic valves (TAVI) remains rare. We present two cases where surgical 5.5 was placed across both Sapien 3 Ultra and Evolute Pro+ valves. Case Summary Patient 1: 74-year-old male history of ischemic cardiomyopathy ejection fraction 20-25% status post c...

Classical (real) hedgehogs can be regarded as the geometrical realiza-tions of formal di¤erences convex bodies in R n+1. Like bodies, identi…ed with their support functions. Adopting a pro-jective viewpoint, we prove that any holomorphic function h : C n ! 'support function' complex hedgehog H In same vein, introduce notion evolute such 2 , and natural (but apparently hitherto unknown) curvatur...