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Journal of the Australian Mathematical Society, 2018
In this paper, we introduce a symmetry geometry for all those mathematical structures which can be characterized by means of a generalization (which we call pairing) of a finite rectangular table.
G. Chiaselotti, T. Gentile, F. Infusino
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In this paper, we introduce a symmetry geometry for all those mathematical structures which can be characterized by means of a generalization (which we call pairing) of a finite rectangular table.
G. Chiaselotti, T. Gentile, F. Infusino
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Compressor Maps and Coupling: Symmetry, Geometry, and Universality
Volume 10A: Turbomachinery — Axial Flow Fan and Compressor Aerodynamics, 2022The predecessor of this paper (GT2021-60012) introduced the Symmetry (S’-) framework of compressor map representation. This framework exhibits a natural simplicity of expression in comparison with the common BETA framework, enables relatively simple ...
Benjamin Iwrey, P. Johnson
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Learning Symmetry-Aware Geometry Correspondences for 6D Object Pose Estimation
IEEE International Conference on Computer Vision, 2023Current 6D pose estimation methods focus on handling objects that are previously trained, which limits their applications in real dynamic world. To this end, we propose a geometry correspondence-based framework, termed GCPose, to estimate 6D pose of ...
Heng Zhao +8 more
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The Geometry of Reflectance Symmetries
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011Different materials reflect light in different ways, and this reflectance interacts with shape, lighting, and viewpoint to determine an object's image. Common materials exhibit diverse reflectance effects, and this is a significant source of difficulty for image analysis. One strategy for dealing with this diversity is to build computational tools that
Tan, P., Quan, L., Zickler, T.
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Oberwolfach Reports, 2023
Toric varieties provide a rich class of examples in algebraic geometry that benefit from deep and fruitful interactions with combinatorics. This workshop highlighted recent interactions between toric geometry and mirror symmetry, matroids, deformation ...
Daniel Erman +3 more
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Toric varieties provide a rich class of examples in algebraic geometry that benefit from deep and fruitful interactions with combinatorics. This workshop highlighted recent interactions between toric geometry and mirror symmetry, matroids, deformation ...
Daniel Erman +3 more
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Revealing quantum geometry in nonlinear quantum materials
Reports on progress in physics. Physical SocietyBerry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the relatively few effects
Yiyang Jiang, Tobias Holder, Binghai Yan
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Symmetry and partial belief geometry
European Journal for Philosophy of Science, 2021When beliefs are quantified as credences, they are related to each other in terms of closeness and accuracy. The “accuracy first” approach in formal epistemology wants to establish a normative account for credences (probabilism, Bayesian conditioning, principle of indifference, and so on) based entirely on the alethic properties of the credence: how ...
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Informal geometry through symmetry
The Arithmetic Teacher, 1969The geometry component of the elementary school program is the basis of much I discussion today. Many of the efforts in this area of mathematics have approached elementary school geometry from the point of view of Euclid's postulates. Another approach to geometric topics is based on the idea of symmetry.* A unit using this approach would involve five ...
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Localization of the Galilean symmetry and dynamical realization of Newton–Cartan geometry
, 2014Newtonian gravity was formulated as a geometrodynamic theory as far back as in 1930s by Elie Cartan, in what is named aptly as Newton–Cartan space time.
R. Banerjee, A. Mitra, P. Mukherjee
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