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Geometry of Alternating Links

1997
An alternating diagram for a link is, as explained in Chapter 1, one in which the over or under nature of the crossings alternates along every link-component in the diagram; the crossings always go “… over, under, over, under,…” when considered from any starting point. A link is said to be alternating if it possesses such a diagram.
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A Survey on the Differential and Symplectic Geometry of Linking Numbers

Milan Journal of Mathematics, 2006
The aim of the present survey mainly consists in illustrating some recently emerged differential and symplectic geometric aspects of the ordinary and higher order linking numbers of knot theory, within the modern geometrical and topological framework, constantly referring to their multifaceted physical origins and interpretations.
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The Geometry of Tracing, a Possible Link Between Geometric Drawing and Euclid’s Geometry?

2023
The reproduction of figures is a common task in elementary school, very present in the curricula and in many textbooks. Under what conditions, especially regarding the use of instruments, does this task allow the conceptualization of geometric objects, in what we call the geometry of tracing?
Perrin-Glorian, Marie-Jeanne   +1 more
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Diverse calving patterns linked to glacier geometry

Nature Geoscience, 2013
Iceberg calving—implicated in the retreat of ice shelves—is a complex process constrained by few observations. Numerical simulations suggest that the pattern of iceberg calving is controlled by the geometry of the glacier, and that regions of Greenland and Antarctica may be particularly vulnerable to catastrophic calving-driven retreat.
Jeremy N. Bassis, S. Jacobs
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Linking Theory and Practice in Teaching Geometry

The Mathematics Teacher, 2005
Regarding the relationship between theory and practice in teaching mathematics, Anna Sfard (2003) wrote,
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Geometry of the Kinematic Chain and the Links of the Bennett’s Mechanism

International Review of Mechanical Engineering (IREME), 2018
In the literature there are dozens of articles devoted to the theoretical studies of Bennett's mechanism. However, there are very few articles on the practical use of Bennett's mechanism. The reason for this is the features of the geometry of the links and the technology of their manufacture.
Ilyas Z. Bagautdinov   +2 more
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Conductance and Geometry of Pyridine-Linked Single-Molecule Junctions

Journal of the American Chemical Society, 2010
We have measured the conductance and characterized molecule-electrode binding geometries of four pyridine-terminated molecules by elongating and then compressing gold point contacts in a solution of molecules. We have found that all pyridine-terminated molecules exhibit bistable conductance signatures, signifying that the nature of the pyridine-gold ...
J.B. Neaton   +9 more
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Some problematic links between hunting and geometry

Behavioral and Brain Sciences, 1996
AbstractGeary's emphasis on hunting ignores the possible importance of other human activities, such as scavenging and gathering, in the evolution of spatial abilities. In addition, there is little evidence that links spatial abilities and math skills. Furthermore, such links have little practical importance given the small size of most differences and ...
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On conceptual obstacles linked with external representation in geometry

The Journal of Mathematical Behavior, 1998
Abstract In this paper, we discuss some topics related to external representation in geometry and their implications on its learning. First, we analyse the different natures of geometrical and representative spaces (in the sense of Poincare) and the question of the double status of geometrical objects; then, we focus on the typicality of geometrical ...
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Geometry of knots and links

2021
Nikolay Abrosimov, Alexander Mednykh
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