Filters








16,310 Hits in 5.9 sec

Page 7848 of Mathematical Reviews Vol. , Issue 2003j [page]

2003 Mathematical Reviews  
(R-CLUJMI; Cluj-Napoca) Self-intersection avoidance and integral properties of generalized cylinders. (English summary) Comput. Aided Geom. Design 19 (2002), no. 9, 695-707.  ...  In particular, conditions to avoid local and global self- intersection of generalized cylinders are given, and some of their integral properties, such as area and volume, are discussed.” 2003j:68143 68U05  ... 

Self-avoiding effective strings in lattice gauge theories

M. Caselle, F. Gliozzi
1992 Physics Letters B  
It is shown that the effective string recently introduced to describe the long distance dynamics of 3D gauge systems in the confining phase has an intriguing description in terms of models of 2D self-avoiding  ...  As a consequence, a universal value of the deconfinement temperature is predicted.  ...  In such a case it is reasonable to assume that the intersections of the rough cylinder with the tori are self-avoiding loops in the dense phase.  ... 
doi:10.1016/0370-2693(92)91814-p fatcat:q64iqqzyu5es3hrjrsacarkhae

Adsorption transition of a self-avoiding polymer chain onto a rigid rod

Andreas Hanke
2005 Journal of Physics: Condensed Matter  
The subject of this work is the adsorption transition of a long flexible self-avoiding polymer chain onto a rigid thin rod.  ...  The rod is represented by a cylinder of radius R with a short-ranged attractive surface potential for the chain monomers.  ...  Now, "generalized cylinders" located right on the line D int = 0 correspond to marginal cases: An unbounded, free, self-avoiding random walk does intersect with "generalized cylinders" located on the dashed  ... 
doi:10.1088/0953-8984/17/20/006 fatcat:uncq2toy6rgk3edhp7i3gm3lme

Modeling Bacterial DNA: Simulation of Self-Avoiding Supercoiled Worm-Like Chains Including Structural Transitions of the Helix [chapter]

Thibaut Lepage, Ivan Junier
2017 Msphere  
On one hand, we present the self-avoiding supercoiled Worm-Like Chain (ss-WLC) model, which is known to capture the folding properties of supercoiled DNA, and provide a detailed explanation of a standard  ...  Various polymer models have been developed to capture these properties, with Monte-Carlo (MC) approaches dedicated to the inference of thermodynamic properties.  ...  This can be explicitly shown using Worm-Like Chain (WLC) models of DNA that include supercoiling constraints and self-avoidance properties reflecting the impenetrable character of the DNA molecule [4,  ... 
doi:10.1007/978-1-4939-7098-8_23 pmid:28842893 fatcat:kimccyqb3vbtjmbuvforcb2lqa

Modeling Bacterial DNA: Simulation of Self-avoiding Supercoiled Worm-Like Chains Including Structural Transitions of the Helix [article]

Thibaut Lepage, Ivan Junier
2017 arXiv   pre-print
On one hand, we present the self-avoiding supercoiled Worm-Like Chain (ssWLC) model, which is known to capture the folding properties of supercoiled DNA, and provide a detailed explanation of a standard  ...  Various polymer models have been developed to capture these properties, with Monte-Carlo (MC) approaches dedicated to the inference of thermodynamic properties.  ...  This can be explicitly shown using Worm-Like Chain (WLC) models of DNA that include supercoiling constraints and self-avoidance properties reflecting the impenetrable character of the DNA molecule [4,  ... 
arXiv:1708.02194v1 fatcat:q4dpgnu7mbhz7mzb546hpnzndi

Non-intersection exponents of fully packed trails on the square lattice

Yacine Ikhlef, Jesper Jacobsen, Hubert Saleur
2007 Journal of Statistical Mechanics: Theory and Experiment  
Fully packed trails on the square lattice are known to be described, in the long distance limit, by a collection of free non compact bosons and symplectic fermions, and thus exhibit some properties reminiscent  ...  We investigate in this paper the situation for their non-intersection exponents. Our approach is purely numerical, and based both on transfer matrix and Monte Carlo calculations.  ...  Acknowledgements One of the authors (YI) thanks B. Nienhuis and W. Kager for their hospitality at the ITFA, and for interesting discussions on generalizations to n = 0. Discussions with M. Bauer, B.  ... 
doi:10.1088/1742-5468/2007/05/p05005 fatcat:7dudypxxjbgehek7yn7zg6355q

Cusps of Characteristic Curves and Intersection-Aware Visualization of Path and Streak Lines [chapter]

Tino Weinkauf, Holger Theisel, Olga Sorkine
2011 Mathematics and Visualization  
Cusps turn out to be closely related to self-intersections of characteristic curves.  ...  We utilize this information in a new algorithm to create uncluttered static visualizations of path and streak lines.  ...  Cusps and cusp-like shapes shall be avoided.  ... 
doi:10.1007/978-3-642-23175-9_11 fatcat:7lbolmcm65eg3pggulwzjmrbqe

Collapse of a polymer in two dimensions

H.W.J Blöte, M.T Batchelor, B Nienhuis
1998 Physica A: Statistical Mechanics and its Applications  
In particular, when the attractive potential is increased, we observe the crossover between polymer critical behaviour of the self-avoiding walk type to behaviour described earlier for the theta point.  ...  A comparison with the predictions of finite-size scaling enables us to obtain information about the phase diagram as a function of the chemical potential of the loop segments and the strength of the attractive  ...  Acknowledgements It is a pleasure to express our appreciation for the privilege of many stimulating and valuable discussions with Prof. J.M.J. van Leeuwen.  ... 
doi:10.1016/s0378-4371(97)00597-9 fatcat:7yn7kyjfqbc6xo5ab7do5znaai

Light rays and imaging in wave optics

Władysław Żakowicz
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
These wave rays cannot intersect so that the focusing and imaging spots are identified with regions of high flow concentration.  ...  It is centered on analysis of the behavior of integral curves of the Poynting vector here called wave rays.  ...  The general pattern of the light scattered by the cylinder, including the rays and equal-phase contours, is shown in Fig. 16 .  ... 
doi:10.1103/physreve.64.066610 pmid:11736299 fatcat:ajsbzuyjercqvlrtu5toqhamqu

Cylinder curves in finite holonomy flat metrics [article]

Ser-Wei Fu, Christopher J Leininger
2020 arXiv   pre-print
In this paper we focus on the case q > 2 and construct examples illustrating a range of behaviors for the embedded cylinder curves.  ...  We prove that if q > 2 and the surface is fully punctured, then the embedded cylinder curves form a finite diameter subset of the curve complex.  ...  This intersection point P 1 projects to a self-intersection point of γ ′ inside the triangle, and hence γ has a self-intersection point.  ... 
arXiv:1909.13760v2 fatcat:xy4dnbjnzbgzdcpgzou4mhqb5i

Quantifying steric hindrance and topological obstruction to protein structure superposition

Peter Røgen
2021 Algorithms for Molecular Biology  
Either the algorithm finds a self-avoiding path or it returns a smallest set of essential self-intersections.  ...  We quantify the amount of steric clashes and find all self-intersections in a linear backbone interpolation.  ...  Acknowledgements The author is pleased to thank Kresten Lindorff-Larsen for suggesting examples of flexible proteins and Christian Henriksen for discussions on how to remove the maximal number of self-intersections  ... 
doi:10.1186/s13015-020-00180-3 pmid:33639968 fatcat:3rwydafmz5as5iia2vwsvkwgl4

Maximum thick paths in static and dynamic environments

Esther M. Arkin, Joseph S.B. Mitchell, Valentin Polishchuk
2010 Computational geometry  
The problem is motivated by the capacity estimation problem in air traffic management, in which one must determine how many aircraft can safely move through a domain while avoiding each other and avoiding  ...  Moreover, we observe that determining the existence of a given number of paths is hard even if the obstacles are static, and only the entry/exit time intervals are specified for the disks.  ...  Acknowledgements We thank the anonymous referees and Irina Kostitsyna for many helpful suggestions and corrections. We thank Jimmy  ... 
doi:10.1016/j.comgeo.2009.02.007 fatcat:lvsjywcb2jd65gesy46ocrucqq

Explicit Control of Vector Field Based Shape Deformations

Wolfram von Funck, Holger Theisel, Hans-Peter Seidel
2007 15th Pacific Conference on Computer Graphics and Applications (PG'07)  
The resulting deformation is volumepreserving and free of local self-intersections. In addition, the full deformation is steered by a 3D parametric curve and a parametric twisting function.  ...  This way our deformations appear to be a generalization of the boundary constraint modeling metaphor. We apply our approach in different scenarios.  ...  Avoidance of local self-intersections: Due to the nature of path line integration, no local self-intersections can occur during the deformation.  ... 
doi:10.1109/pg.2007.26 dblp:conf/pg/FunckTS07 fatcat:5foj5oy6mzb2xooeeqr2oxekgm

Boolean operations in solid modeling: Boundary evaluation and merging algorithms

A.A.G. Requicha, H.B. Voelcker
1985 Proceedings of the IEEE  
,...), (2) algorithms for geometric reasoning, and for computing geometric properties and the effects of transformations, (3) mathematical theories that underlie such representations and algorithms, and  ...  All of the twenty-or-so solid modellers currently available in the U.S. support Boolean operations akin to set intersection, union and difference on solid objects.  ...  Self edges and cross edges are a sufficient set. Self edges are available in the BReps for A and B, and therefore self edge generation is trivial.  ... 
doi:10.1109/proc.1985.13108 fatcat:4rywilflnncdxkdckye66vww7e

Maximum thick paths in static and dynamic environments

Esther M. Arkin, Joseph S.B. Mitchell, Valentin Polishchuk
2008 Proceedings of the twenty-fourth annual symposium on Computational geometry - SCG '08  
The problem is motivated by the capacity estimation problem in air traffic management, in which one must determine how many aircraft can safely move through a domain while avoiding each other and avoiding  ...  Moreover, we observe that determining the existence of a given number of paths is hard even if the obstacles are static, and only the entry/exit time intervals are specified for the disks.  ...  Acknowledgements We thank the anonymous referees and Irina Kostitsyna for many helpful suggestions and corrections. E. Arkin is partially supported by NSF (CCF-0431030, CCF-0729019). J.  ... 
doi:10.1145/1377676.1377682 dblp:conf/compgeom/ArkinMP08 fatcat:zs4soijwdrds5btetokabd2ila
« Previous Showing results 1 — 15 out of 16,310 results