Results 61 to 70 of about 704,101 (306)

Circle packing and interpolation in Fock spaces [PDF]

open access: yes, 2013
It was shown by James Tung in 2005 that if a sequence $Z=\{z_n\}$ of points in the complex plane satisfies $$\inf_{n\not=m}|z_n-z_m|>2/\sqrt\alpha,$$ then $Z$ is a sequence of interpolation for the Fock space $F^p_\alpha$.
Stevenson, Daniel, Zhu, Kehe
core  

Hamiltonian mappings and circle packing phase spaces: numerical investigations

open access: yes, 2002
In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. We now concentrate on one particular mapping and present numerical evidence which supports the conjecture that the set of circular ...
A.J. Scott   +45 more
core   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

Revisiting the hexagonal lattice: on optimal lattice circle packing

open access: yes, 2009
In this note we give a simple proof of the classical fact that the hexagonal lattice gives the highest density circle packing among all lattices in $R^2$. With the benefit of hindsight, we show that the problem can be restricted to the important class of
Fukshansky, Lenny
core   +1 more source

Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin

open access: yesMolecular Oncology, EarlyView.
The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla   +10 more
wiley   +1 more source

Extended General Malfatti’s Problem

open access: yesAlgorithms
Malfatti’s problem involves three circles (called Malfatti circles) that are tangent to each other and two sides of a triangle. In this study, our objective is to extend the problem to find 6, 10, … ∑1ni (n > 2) circles inside the triangle so that the ...
Ching-Shoei Chiang
doaj   +1 more source

Thurston's sphere packings on 3-dimensional manifolds, I

open access: yes, 2020
Thurston's sphere packing on a 3-dimensional manifold is a generalization of Thusrton's circle packing on a surface, the rigidity of which has been open for many years.
He, Xiaokai, Xu, Xu
core  

Average kissing numbers for non-congruent sphere packings

open access: yes, 1994
The Koebe circle packing theorem states that every finite planar graph can be realized as the nerve of a packing of (non-congruent) circles in R^3. We investigate the average kissing number of finite packings of non-congruent spheres in R^3 as a first ...
Kuperberg, Greg, Schramm, Oded
core   +3 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

open access: yesMolecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff   +11 more
wiley   +1 more source

Combinatorial pth Calabi flows for total geodesic curvatures in spherical background geometry

open access: yesAdvances in Nonlinear Analysis
The concept of combinatorial pth Calabi flow is proposed for finding circle packing metrics with prescribed curvatures. It has been studied under the Euclidean and hyperbolic background geometries.
Liu Bin, Li Lishan, Qi Yi
doaj   +1 more source

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