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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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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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The geometry of broken symmetries
Il Nuovo Cimento B Series 10, 1970A consideration of the fundamental requirements of relativistic invariance for the global observables of relativistic quantum systems leads to the postulate that these observables should be treated as geometric objects on the manifold of spacelike hyperplanes in Minkowski space.
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Differential geometry and internal symmetry
Journal of Mathematical Physics, 1975It is shown using a generalized Lyra space that the concept of internal symmetry can be expressed in the language of differential geometry. By this method invariant and noninvariant interactions are generated by a gauge formalism.
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Symmetries of almost Grassmannian geometries
Differential Geometry and Its Applications, 2008We study symmetries of almost Grassmannian and almost quaternionic structures. We generalize the classical definition for locally symmetric spaces and we discuss the existence of symmetries on the homogeneous models. We proves the local flatness of the symmetric geometries for most cases of almost Grassmannian geometries.
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Homological Geometry and Mirror Symmetry
1995A homogeneous polynomial equation in five variables determines a quintic 3-fp;d in ℂP4. Hodge numbers of a nonsingular quintic are know to be: h p, p = 1, p = 0, 1, 2, 3 (Kahler form and its powers), h3, 0 = h0,3 = 1 (a quintic happens to bear a holomorphic volume form), h2,1 = h1, 2 = 101 = 126 - 25 (it is the dimension of the space of all quintics ...
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Topological materials discovery from crystal symmetry
Nature Reviews Materials, 2021Benjamin J Wieder +2 more
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Superfluid Weight Bounds from Symmetry and Quantum Geometry in Flat Bands
Physical Review Letters, 2022Jonah Herzog-Arbeitman +2 more
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