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The convexity of surfaces defined by the conformal radius of a plane domain

Russian Mathematics, 2007
Let \(f(\zeta )\) be a regular function in the unit disk \(E=\{ \zeta :| \zeta |
Aksent'ev, L. A.   +2 more
openaire   +2 more sources

Motion type and knee articular conformity influenced mid‐flexion stability of a single radius knee prosthesis

Knee Surgery, Sports Traumatology, Arthroscopy, 2018
AbstractPurposeSingle radius knee implants were introduced to reduce the level of paradoxical anterior femoral translation (AFT) during mid‐flexion after total knee arthroplasty. Findings from clinical and experiment studies are inconsistent, which may be due to the different loading conditions and articular conformities of the knee implants studied ...
Xiao‐Hong Wang   +4 more
openaire   +2 more sources

Effect of Non-Conforming Thread Root Radius on the Fatigue Performance of Preloaded Threaded Fasteners

Volume 3: Design and Analysis, 2008
This paper presents an experimental investigation of the effect of thread root non-conformance on the fatigue performance of preloaded M12×1.5 Class 10.9 fasteners. Thread roots were dimensionally inspected using optical methods in accordance with the DIN 933 specification. Axial load fatigue tests were performed in accordance with ISO 3800.
Sayed A. Nassar, Brian S. Munn, X. Yang
openaire   +1 more source

Centerline-Radius Polygonal-Mesh Modeling of Bifurcated Blood Vessels in 3D Images using Conformal Mapping

2018 Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), 2018
Accurate modeling of the human vascular tree from 3D computed tomography (CTA) or magnetic resonance (MRA) angiograms is required for visualization, diagnosis of vascular diseases, and computational fluid dynamic (CFD) blood flow simulations. This work describes an automated algorithm for constructing the polygonal mesh of blood vessels from such ...
Carlos Vinhais   +2 more
openaire   +1 more source

The maximum of the conformal radius in the families of domains satifying additional conditions

Journal of Mathematical Sciences, 1998
Let \(R(D,a)\) denote the conformal radius of the simply connected domain \(D\) with respect to the point \(a\in D\). Let \(D(R_0)\) denote the set of all simply connected domains \(D\) in the complex plane with \(0,1\in D\) and for which \(R(D,0)\) has the prescribed value \(R_0\). The author poses and solves the problem of finding, in the set \(D(R_0)
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Long-term wear and rolling contact fatigue behaviour of a conformal wheel profile designed for large radius curves

Vehicle System Dynamics, 2018
There are many reasons to optimise the wheel–rail interface through redesign or maintenance. Minimising wear and rolling contact fatigue (RCF) initiation on wheels and/or rails is often at the fore...
Ulrich Spangenberg   +2 more
openaire   +1 more source

Some remarks on the maxima of inner conformal radius

1992
Summary: If \(f(z)= z+ a_ 2 z^ 2+ a_ 3 z^ 3+ \cdots\) is univalent in the unit disk \(\mathbb{D}\) then \(a_ 2=0\) and \(| a_ 3|\leq 1/3\) is necessary, whereas \(a_ 2=0\) and \(| a_ 3 |< 1/3\) is sufficient for the inner conformal radius \(R(w, f(\mathbb{D}))\) to have a local maximum at \(w=0\). The case \(| a_ 3|= 1/3\) is invetigated.
openaire   +1 more source

John–Nirenberg radius and collapsing in conformal geometry

Asian Journal of Mathematics, 2020
Yuxiang Li, Guodong Wei, Zhipeng Zhou
openaire   +1 more source

A Simple Procedure to Optimize Small Radius Rounded Corners Obtained From Schwarz–Christoffel Conformal Transformations

IEEE Transactions on Magnetics, 2015
Both conformal mapping via Schwarz–Christoffel (SC) formulas and finite element methods (FEM) can provide accurate results in analyzing 2-D electric or magnetic fields. In the presence of curved boundaries with small radius of curvature, the first are normally constrained to introduce piecewise straight lines.
openaire   +1 more source

The proton charge radius

Reviews of Modern Physics, 2022
Haiyan Gao, Marc Vanderhaeghen
exaly  

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