Results 21 to 30 of about 415,247 (217)
Strongly Hyperbolic Unit Disk Graphs
The class of Euclidean unit disk graphs is one of the most fundamental and well-studied graph classes with underlying geometry. In this paper, we identify this class as a special case in the broader class of hyperbolic unit disk graphs and introduce strongly hyperbolic unit disk graphs as a natural counterpart to the Euclidean variant.
Bläsius, Thomas+3 more
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Boundary distortion estimates for holomorphic maps
We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no fixed point inside the unit disk. The results complement Cowen-Pommerenke
Frolova, A.+3 more
core +1 more source
Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings
We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk.
Vuorinen, Matti, Wang, Gendi
core +1 more source
The innermost astronomical units of protoplanetary disks
SPIE Astronomical Telescopes + Instrumentation 2016 in Edinburgh, Scotland, 8 pages, 2 ...
Rebeca Garcia Lopez+2 more
openaire +3 more sources
Validity and regularization of classical half-space equations
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the correct boundary layer behaviour as long believed. In this paper we develop a
Li, Qin, Lu, Jianfeng, Sun, Weiran
core +1 more source
Radial balanced metrics on the unit disk
Let $ $ be a strictly plurisubharmonic and radial function on the unit disk ${\cal D}\subset {\complex}$ and let $g$ be the \K metric associated to the \K form $ =\frac{i}{2}\partial\bar\partial $. We prove that if $g$ is $g_{eucl}$-balanced of height 3 (where $g_{eucl}$ is the standard Euclidean metric on ${\complex}={\real}^2$), and the function ...
GRECO, ANTONIO, LOI, ANDREA
openaire +4 more sources
Minimal surfaces and Schwarz lemma
We prove a sharp Schwarz type inequality for the Weierstrass- Enneper representation of the minimal surfaces. It states the following. If $F:\mathbf{D}\to \Sigma$ is a conformal harmonic parameterization of a minimal disk $\Sigma$, where $\mathbf{D}$ is ...
Kalaj, David
core
Weighted Hardy Spaces on the Unit Disk [PDF]
In this paper we mainly discuss three things. First, there is no canonical norm on the space $H^p_u(\mathbb{D})$. Second, we improve the weak-$*$ convergence of the measures $ _{u,r}$. Third, the dilations $f_t$ of the function $f\in H^p_u(\mathbb{D})$ converge to $f$ in $H^p_u$-norm and hence the polynomials are dense in $H^p_u(\mathbb{D})$.
openaire +3 more sources
Abstract Background Dual‐energy cone‐beam CT (DE‐CBCT) has become subject of recent interest due to the ability to produce virtual monoenergetic images (VMIs) with improved soft‐tissue contrast and reduced nonuniformity artifacts. However, efficient production and optimization of VMIs remains an under‐explored part of DE‐CBCT's application.
Andrew Keeler+4 more
wiley +1 more source
Abstract Purpose Breast cancer is a neoplastic disease with high prevalence among women. Radiotherapy is one of the principal treatment modalities for this disease, but it poses significant challenges. This study aimed to compare and evaluate the technical and dosimetric performance of conventional C‐arm linac systems and a new design, Halcyon, in the ...
Mustafa Çağlar+8 more
wiley +1 more source