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Page 7848 of Mathematical Reviews Vol. , Issue 2003j
[page]
2003
Mathematical Reviews
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(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
1992
Physics Letters B
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1991 pre-print arXiv:hep-th/9111060v1 fatcat:mghbn3rf4famncehenigttlbcq
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
2005
Journal of Physics: Condensed Matter
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2005 pre-print arXiv:cond-mat/0504318v1 fatcat:mbzbihmlyrblbmnyel2qzt4zuq
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]
2017
Msphere
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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]
2017
arXiv
pre-print
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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
2007
Journal of Statistical Mechanics: Theory and Experiment
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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]
2011
Mathematics and Visualization
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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
1998
Physica A: Statistical Mechanics and its Applications
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1997 pre-print arXiv:cond-mat/9709290v1 fatcat:6kt5u7pffvf7zcdglgf6gzly2q
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
2001
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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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]
2020
arXiv
pre-print
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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
2021
Algorithms for Molecular Biology
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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
2010
Computational geometry
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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
2007
15th Pacific Conference on Computer Graphics and Applications (PG'07)
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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
1985
Proceedings of the IEEE
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,...), (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
2008
Proceedings of the twenty-fourth annual symposium on Computational geometry - SCG '08
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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
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