Results 101 to 110 of about 16,119 (189)
The Path Integral on the Poincare Disk: The Poincare Upper Half Plane and on the Hyperbolic Strip
, 1988 32 pp. (1988).
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Collinearity of points on Poincaré unit disk and Riemann sphere
Publicationes Mathematicae DebrecenWe study certain points significant for the hyperbolic geometry of the unit disk.~We give explicit formulas for the intersection points of the Euclidean lines and the stereographic projections of great circles of the Riemann sphere passing through these points.
Masayo Fujimura +2 more
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Measurement + ControlIn this study, a biomechanical model mimicking the human hand-arm system under heavy disk excitation is developed to define the stability threshold between the preload vibration and the stress of the human hand-arm system.
Bernard Xavier Tchomeni Kouejou +1 more
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Two-point correlation functions of scaling fields in the Dirac theory on the Poincaré disk [PDF]
Nuclear Physics B, 2003 A result from Palmer, Beatty and Tracy suggests that the two-point function of certain spinless scaling fields in a free Dirac theory on the Poincare disk can be described in terms of Painleve VI transcendents. We complete and verify this description by fixing the integration constants in the Painleve VI transcendent describing the two-point function ...
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Comparing Dynamical Effects of the Central Bar and the Spiral Arms in the Solar Neighborhood
The Astrophysical JournalThe dynamical effects on the stellar motion produced by the Galactic central bar and the spiral arms perturbations are investigated separately and compared.
Willian Nacafucasaco +3 more
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The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres
, 2006 Motivated by the Poincare conjecture, we study properties of digital n-dimensional spheres and disks, which are digital models of their continuous counterparts. We introduce homeomorphic transformations of digital manifolds, which retain the connectedness, the dimension, the Euler characteristics and the homology groups of manifolds. We find conditions
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Poincaré disk as a model of squeezed states of a harmonic oscillator
Journal of Mathematical PhysicsSingle-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution.
Ian Chi, Martin Fraas, Tina Tan
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Entanglement scaling behaviors of free fermions on hyperbolic lattices
Physical Review ResearchRecently, tight-binding models on hyperbolic lattices (discretized anti–de Sitter space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states.
Xiang-You Huang, Yao Zhou, Peng Ye
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Reduction method for studying localized solutions of neural field equations on the Poincaré disk
Comptes Rendus. Mathématique, 2012 We present a reduction method to study localized solutions of an integrodifferential equation defined on the Poincaré disk. This equation arises in a problem of texture perception modeling in the visual cortex. We first derive a partial differential equation which is equivalent to the initial integrodifferential equation and then deduce that localized ...
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Spherical derivative of meromorphic function with image of finite spherical area
Journal of Inequalities and Applications, 2000 Let be a domain in the complex plane with the Poincare metric which is if is the open unit disk. Suppose that the Riemann sphere of radius 1/2, so that it has the area and let . Let , , be the supremum of the spherical derivative of meromorphic
Yamashita Shinji
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