Consider the linear space n of polynomials of degree n or less over the complex field. The abscissa mapping on n is the mapping that takes a polynomial to the maximum real part of its roots. This mapping plays a key role in the study of stability properties for linear systems. Burke and Overton have shown that the abscissa mapping is everywhere subdifferentially regular in the sense of Clarke o...

The fate of ionizing radiation in starburst galaxies is key to understanding cosmic reionization. However, the galactic parameters on which the escape fraction of ionizing radiation depend are not well understood. Ionizationparameter mapping provides a simple, yet effective, way to study the radiative transfer in starburst galaxies. We obtain emission-line ratio maps of [S iii]/[S ii] for six, ...

Adhesion controls growth cone motility, yet the effects of axon guidance cues on adhesion site dynamics are poorly understood. Here we show that ephrin-A1 reduces retinal ganglion cell (RGC) axon outgrowth by stabilizing existing adhesions and inhibiting new adhesion assembly. Ephrin-A1 activates focal adhesion kinase (FAK) in an integrin- and Src-dependent manner and the effects of ephrin-A1 o...

The Algebraic Reconstruction Technique (ART) reconstructs a 2D or 3D object from its projections. It has, in certain scenarios, many advantages over the more popular Filtered Backprojection approaches and has also recently been shown to perform well for 3D cone-beam reconstruction. However, so far, ART’s slow speed has prohibited its routine use in clinical applications. Currently, a software i...

PURPOSE Photoreceptor degenerative diseases are among the leading causes of vision loss. Although the causative genetic mutations are often known, mechanisms leading to photoreceptor degeneration remain poorly defined. We have previously demonstrated that the photoreceptor membrane-associated protein XAP-1 antigen is a product of the HSPA5 gene. In this study, we used systems genetic methods, s...

In a triangulated category, cofibre fill-ins always exist. Neeman showed that there is at least one "good" fill-in, i.e., whose mapping cone exact. Verdier constructed fill-in of particular form in his proof the $4 \times 4$ lemma, which we call "Verdier good". We show for several classes morphisms exact triangles, notions good and agree. prove lifting criterion commutative squares terms (Verdi...

where K ≥ 1 is the least number such that there is a K-quasiconformal mapping between the marked structures X1 and X2. The mapping class group Mod(S) acts properly discontinuously and isometrically on Teich(S), thus inducing a metric dM(S)(·, ·) on the quotient moduli space M(S) := Teich(S)/Mod(S). Let π : Teich(S) → M(S) be the natural projection. The goal of this paper is to build an “almost ...

We performed depth-resolved PL and Raman spectral mappings of a GaN-based LED structure grown on a patterned sapphire substrate (PSS). Our results showed that the Raman mapping in the PSS-GaN heterointerface and the PL mapping in the InxGa1-xN/GaN MQWs active layer are spatially correlated. Based on the 3D construction of E2(high) Raman peak intensity and frequency shift, V-shaped pits in the M...

In this paper, a novel hybrid algorithm is presented for the fast construction and high-quality rendering of visual hulls. We combine the strengths of two complementary hardware-accelerated approaches: direct constructive solid geometry (CSG) rendering and texture mapping-based visual cone trimming. The former approach completely eliminates the aliasing artifacts inherent in the latter, whereas...