Results 11 to 20 of about 15,634 (261)
Equality of internal angles and vertex points in conformal hyperbolic triangles
In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special
Ümit Tokeşer, Ömer Alsan
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Animals use odors in many natural contexts, for example, for finding mates or food, or signaling danger. Most analyses of natural odors search for either the most meaningful components of a natural odor mixture, or they use linear metrics to analyze the ...
Majid Ghaninia +5 more
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Prerequisite Relation Learning for Course Concepts Based on Hyperbolic Deep Representation
With the rapid development of MOOCs, more and more learners participate in online learning to improve their abilities. However, students from different educational backgrounds have different starting points, requirements and foundation.
Lu Liu +6 more
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In this paper, we obtain some characterizations of composition operators Cφ, which are induced by an analytic self-map φ of the unit disk Δ, from hyperbolic Bloch type space βμ∗ into hyperbolic type space QK,p,q∗.
Shuan Tang, Pengcheng Wu
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LaTeX, 22 pages, to appear in Rocky Mountain J ...
Blair, D.E., Davidov, J., Mus˘karov, O.
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Monodromy defects from hyperbolic space
We study monodromy defects in O(N) symmetric scalar field theories in d dimensions. After a Weyl transformation, a monodromy defect may be described by placing the theory on S 1 × H d−1, where H d−1 is the hyperbolic space, and imposing on the ...
Simone Giombi +3 more
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Network embedding is a frontier topic in current network science. The scale-free property of complex networks can emerge as a consequence of the exponential expansion of hyperbolic space.
Zongning Wu, Zengru Di, Ying Fan
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A hyperbolic analogue of the Atiyah-Hitchin manifold
The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
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Hitting Spheres on Hyperbolic Spaces [PDF]
For a hyperbolic Brownian motion on the Poincar half-plane $\mathbb{H}^2$, starting from a point of hyperbolic coordinates $z=( , )$ inside a hyperbolic disc $U$ of radius $\bar $, we obtain the probability of hitting the boundary $\partial U$ at the point $(\bar ,\bar )$.
CAMMAROTA, VALENTINA, ORSINGHER, Enzo
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Greedy routing optimisation in hyperbolic networks
Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods take advantage of
Bendegúz Sulyok, Gergely Palla
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