In the supplementary material, we provide additional results and discussion of several parts of the main paper. 1. Effects of Non-Idealities In this section, we show simulations for studying the effects of non-idealities of the wedge geometry on edge radiance profiles. These simulations complement the discussion fo Section 4 of the main paper. Figures 1 and 2 show simulations for the effect of ...

This study proposes a three-dimensional size detection system for inerratic magnetic sheets according to specific size parameter requirements, such as the volume of the industrial micro magnetic sheet. Based on the noise interference generated by the corresponding detection environment of the magnetic sheet, a hybrid filtering method for the inerratic magnetic sheet is also proposed here, which...

It has been suggested that the peanut-shaped bulges seen in some edge-on disk galaxies are due to the presence of a central bar. Although bars cannot be detected photometrically in edge-on galaxies, we show that barred potentials produce a strong kinematic signature in the form of double-peaked line-of-sight velocity distributions with a characteristic “figure-ofeight” variation with radius. We...

Preliminary notes This paper aims to establish the parameters of optimization and geometrical improvements for the micro-geometry of solid carbide drills through the application of sand blasting process. The effects of sand blasting over the cutting edge and also upon the micro geometry of the tool body are to be taken into consideration. This process is one of the most common ones used in the ...

In this paper, we present a method for the numerical minimization of the Mumford–Shah functional that is based on the idea of topological asymptotic expansions. The basic idea is to cover the expected edge set with balls of radius ε > 0 and use the number of balls, multiplied with 2ε, as an estimate for the length of the edge set. We introduce a functional based on this idea and prove that it c...

A computational linear stability analysis of spiral waves in a reaction-diffusion equation is performed on large disks. As the disk radius R increases, eigenvalue spectra converge to the absolute spectrum predicted by Sandstede and Scheel. The convergence rate is consistent with 1/R, except possibly near the edge of the spectrum. Eigenfunctions computed on large disks are compared with predicte...

The ply number of a drawing is a new criterion of interest for graph drawing. Informally, the ply number of a straight-line drawing of a graph is defined as the maximum number of overlapping disks, where each disk is associated with a vertex and has a radius that is half the length of the longest edge incident to that vertex. This paper reports the results of an extensive experimental study tha...

A set of closed form equations for the preliminary evaluation and design of a heatpipe-cooled leading edge is presented. The set of equations can provide a leading-edge designer with a quick evaluation of the feasibility of using heat-pipe cooling. The heat pipes can be embedded in a metallic or composite structure. The maximum heat flux, total integrated heat load, and thermal properties of th...

‎‎let $g=(v,e)$ be a simple graph‎. ‎an edge labeling $f:eto {0,1}$ induces a vertex labeling $f^+:vtoz_2$ defined by $f^+(v)equiv sumlimits_{uvin e} f(uv)pmod{2}$ for each $v in v$‎, ‎where $z_2={0,1}$ is the additive group of order 2‎. ‎for $iin{0,1}$‎, ‎let‎ ‎$e_f(i)=|f^{-1}(i)|$ and $v_f(i)=|(f^+)^{-1}(i)|$‎. ‎a labeling $f$ is called edge-friendly if‎ ‎$|e_f(1)-e_f(0)|le 1$‎. ‎$i_f(g)=v_f(...

Let P ⊂ R2 be a set of n point sites. The unit disk graph UD(P) on P has vertex set P and an edge between two sites p,q ∈ P if and only if p and q have Euclidean distance |pq| 6 1. If we interpret P as centers of disks with diameter 1, then UD(P) is the intersection graph of these disks, i.e., two sites p and q form an edge if and only if their corresponding unit disks intersect. Two natural ge...