Results 11 to 20 of about 12,053 (292)
Contact Geometry of Hyperbolic Equations of Generic Type [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) and generic (class 7-7 ...
Dennis The
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Abstract Every compact surface admits a constant curvature metric, endowing it with a geometry. For surfaces of genus at least 2, this leads to hyperbolic geometry. The model space is the hyperbolic plane. We give a brief introduction to the beautiful world of hyperbolic geometry in dimension 2 starting from the hyperbolic plane and ...
Shlomo Libeskind, Isa S. Jubran
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KONFLIK KOGNITIF MAHASISWA DALAM MEMAHAMI KONSEP GEOMETRI HIPERBOLIK DAN ELLIPTIK
Jupitek, 2020 Using schemes of Euclid's geometrical concepts in long-term memory to understand hyperbolic geometry and elliptic geometry concepts with assimilation and accommodation allows for cognitive conflict.
Mega Teguh Budiarto, Rini Setyaningsih
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Hyperbolic matrix factorization improves prediction of drug-target associations
Scientific Reports, 2023 Past research in computational systems biology has focused more on the development and applications of advanced statistical and numerical optimization techniques and much less on understanding the geometry of the biological space.
Aleksandar Poleksic
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Link prediction with hyperbolic geometry
Physical Review Research, 2020 Link prediction is a paradigmatic problem in network science with a variety of applications. In latent space network models this problem boils down to ranking pairs of nodes in the order of increasing latent distances between them. The network model with
Maksim Kitsak +2 more
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Smarandache’s Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry [PDF]
, 2010 In this note, we present a proof of Smarandache’s cevian triangle hyperbolic theorem in the Einstein relativistic velocity model of hyperbolic ...
Barbu, Catalin
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Smarandache's Pedal Polygon Theorem in the Poincare Disc Model of Hyperbolic Geometry [PDF]
, 2010 In this note, we present a proof of the hyperbolic a Smarandache's pedal polygon theorem in the Poincare disc model of hyperbolic ...
Barbu, Catalin
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Random Motions at Finite Velocity on Non-Euclidean Spaces
Mathematics, 2022 In this paper, random motions at finite velocity on the Poincaré half-plane and on the unit-radius sphere are studied. The moving particle at each Poisson event chooses a uniformly distributed direction independent of the previous evolution. This implies
Francesco Cybo Ottone, Enzo Orsingher
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Global Solvably Closed Anabelian Geometry [PDF]
, 2006 In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of “solvably closed extensions” of number fields — i.e., infinite extensions of number fields which have ...
Mochizuki, Shinichi
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