Results 231 to 240 of about 120,659 (273)
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Knot theory and statistical mechanics
Reviews of Modern Physics, 1992Recent development in the mathematical theory of knots using the method of statistical mechanics is examined. We show that knot invariants can be obtained by considering statistical‐mechanical models on a lattice. Particularly, we establish that the Kauffman’s bracket polynomial is the partition function of a q‐state vertex model previously considered ...
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Mathematical Notes, 2022
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Policy Studies Journal, 2016
This research note synthesizes the main theoretical frameworks in public policy. The concept of policy knots ties policy cycles, multiple streams, punctuated equilibrium, and other frameworks into one useful analytical tool. We introduce two particular policy knots—the granny knot and the clinch knot—to demonstrate the utility of the concept.
Christian Breunig +2 more
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This research note synthesizes the main theoretical frameworks in public policy. The concept of policy knots ties policy cycles, multiple streams, punctuated equilibrium, and other frameworks into one useful analytical tool. We introduce two particular policy knots—the granny knot and the clinch knot—to demonstrate the utility of the concept.
Christian Breunig +2 more
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Knotting Mechanisms and a Knotting Theory
Volume 1B: 25th Biennial Mechanisms Conference, 1998Abstract In the filed of remote manipulation, it is generally required to manipulate objects through elongated tools or through a tele-operation system. In the field of EndoSurgery, one of the challenging tasks for the surgeons is the notion of knotting a suture.
Shahram Payandeh, Alan J. Lomax
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Proceedings of the Steklov Institute of Mathematics, 2018
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Oberwolfach Reports, 2014
Geometric knot theory studies relations between geometric properties of a space curve and the knot type it represents. As examples, knotted curves have quadrisecant lines, and have more distortion and more total curvature than (some) unknotted curves. Geometric energies for space curves – like the Möbius energy, ropelength and various regularizations –
Dorothy Buck +3 more
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Geometric knot theory studies relations between geometric properties of a space curve and the knot type it represents. As examples, knotted curves have quadrisecant lines, and have more distortion and more total curvature than (some) unknotted curves. Geometric energies for space curves – like the Möbius energy, ropelength and various regularizations –
Dorothy Buck +3 more
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Knot Theory and Quantum Gravity
Physical Review Letters, 1988A new representation for quantum general relativity is described, which is defined in terms of functionals of sets of loops in three-space. In this representation exact solutions of the quantum constraints may be obtained. This result is related to the simplification of the constraints in Ashtekar's new formalism.
, Rovelli, , Smolin
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2013
Geometric knot theory studies relations between geometric properties of a space curve and the knot type it represents. As examples, knotted curves have quadrisecant lines, and have more distortion and more total curvature than (some) unknotted curves. Geometric energies for space curves – like the Möbius energy, ropelength and various regularizations –
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Geometric knot theory studies relations between geometric properties of a space curve and the knot type it represents. As examples, knotted curves have quadrisecant lines, and have more distortion and more total curvature than (some) unknotted curves. Geometric energies for space curves – like the Möbius energy, ropelength and various regularizations –
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Recognition algorithms in knot theory
Russian Mathematical Surveys, 2003This survey is about recognition algorithms in knot theory. Several combinatorial methods for representing links are discussed, including different ways of representing the knots and the problem of transforming one representation into another. Special attention is paid to the Haken algorithm for recognizing the unknot, and to the word and conjugacy ...
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