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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 ...##
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Self-avoiding effective strings in lattice gauge theories

1992
*
Physics Letters B
*

It is shown that the effective string recently introduced to describe the long distance dynamics

doi:10.1016/0370-2693(92)91814-p
fatcat:q64iqqzyu5es3hrjrsacarkhae
*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. ...##
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Adsorption transition of a self-avoiding polymer chain onto a rigid rod

2005
*
Journal of Physics: Condensed Matter
*

The subject

doi:10.1088/0953-8984/17/20/006
fatcat:uncq2toy6rgk3edhp7i3gm3lme
*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 ...##
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Modeling Bacterial DNA: Simulation of Self-Avoiding Supercoiled Worm-Like Chains Including Structural Transitions of the Helix
[chapter]

2017
*
Msphere
*

On one hand, we present the

doi:10.1007/978-1-4939-7098-8_23
pmid:28842893
fatcat:kimccyqb3vbtjmbuvforcb2lqa
*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, ...##
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Modeling Bacterial DNA: Simulation of Self-avoiding Supercoiled Worm-Like Chains Including Structural Transitions of the Helix
[article]

2017
*
arXiv
*
pre-print

On one hand, we present the

arXiv:1708.02194v1
fatcat:q4dpgnu7mbhz7mzb546hpnzndi
*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, ...##
###
Non-intersection exponents of fully packed trails on the square lattice

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

doi:10.1088/1742-5468/2007/05/p05005
fatcat:7dudypxxjbgehek7yn7zg6355q
*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. ...##
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Cusps of Characteristic Curves and Intersection-Aware Visualization of Path and Streak Lines
[chapter]

2011
*
Mathematics and Visualization
*

Cusps turn out to be closely related to

doi:10.1007/978-3-642-23175-9_11
fatcat:7lbolmcm65eg3pggulwzjmrbqe
*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*. ...##
###
Collapse of a polymer in two dimensions

1998
*
Physica A: Statistical Mechanics and its Applications
*

In particular, when the attractive potential is increased, we observe the crossover between polymer critical behaviour

doi:10.1016/s0378-4371(97)00597-9
fatcat:7yn7kyjfqbc6xo5ab7do5znaai
*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. ...##
###
Light rays and imaging in wave optics

2001
*
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
*

These wave rays cannot

doi:10.1103/physreve.64.066610
pmid:11736299
fatcat:ajsbzuyjercqvlrtu5toqhamqu
*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 . ...##
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Cylinder curves in finite holonomy flat metrics
[article]

2020
*
arXiv
*
pre-print

In this paper we focus on the case q > 2

arXiv:1909.13760v2
fatcat:xy4dnbjnzbgzdcpgzou4mhqb5i
*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. ...##
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Quantifying steric hindrance and topological obstruction to protein structure superposition

2021
*
Algorithms for Molecular Biology
*

Either the algorithm finds a

doi:10.1186/s13015-020-00180-3
pmid:33639968
fatcat:3rwydafmz5as5iia2vwsvkwgl4
*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*...##
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Maximum thick paths in static and dynamic environments

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

doi:10.1016/j.comgeo.2009.02.007
fatcat:lvsjywcb2jd65gesy46ocrucqq
*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 ...##
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Explicit Control of Vector Field Based Shape Deformations

2007
*
15th Pacific Conference on Computer Graphics and Applications (PG'07)
*

The resulting deformation is volumepreserving

doi:10.1109/pg.2007.26
dblp:conf/pg/FunckTS07
fatcat:5foj5oy6mzb2xooeeqr2oxekgm
*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. ...##
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Boolean operations in solid modeling: Boundary evaluation and merging algorithms

1985
*
Proceedings of the IEEE
*

,...), (2) algorithms for geometric reasoning,

doi:10.1109/proc.1985.13108
fatcat:4rywilflnncdxkdckye66vww7e
*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. ...##
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Maximum thick paths in static and dynamic environments

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

doi:10.1145/1377676.1377682
dblp:conf/compgeom/ArkinMP08
fatcat:zs4soijwdrds5btetokabd2ila
*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. ...
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