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Geometry and Scaling of Vortex Lines
2016Many geometrical properties can be be used to characterise space curves, and for random filaments such as the vortices in wave chaos may take particular statistical values. In this Chapter we introduce and apply several of these standard measures, relating the statistics of the vortices to those of random walks, and comparing with other systems of ...
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Study of Virtual Reality Immersive Technology Enhanced Mathematics Geometry Learning
Frontiers in Psychology, 2022Yu-sheng Su, Chin-feng Lai
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Spacetime Algebra and Line Geometry
1996The hidden universal Clifford algebra structure of M4(R) is ambiguous in the sense that this matrix algebra is the universal geometric algebra belonging to each of the real four-dimensional quadratic vector spaces R1,3 and R2,2. As a non-universal Clifford algebra, however, M4(R) is a geometric algebra of the unique five-dimensional quadratic vector ...
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The Geometry of Abstraction in the Hippocampus and Prefrontal Cortex
Cell, 2020Silvia Bernardi +2 more
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Geometry-enhanced molecular representation learning for property prediction
Nature Machine Intelligence, 2022Shanzhuo Zhang
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Local force and geometry sensing regulate cell functions
Nature Reviews Molecular Cell Biology, 2006Viola Vogel +2 more
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