Results 1 to 10 of about 16,140 (179)
Conformal amplitude hierarchy and the Poincare disk [PDF]
Journal of Physics: Conference Series, 2018 The amplitude for the singlet channels in the 4-point function of the fundamental field in the conformal field theory of the 2d $O(n)$ model is studied as a function of $n$. For a generic value of $n$, the 4-point function has infinitely many amplitudes,
Shimada, Hirohiko
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Multidimensional Scaling in the Poincare disk [PDF]
Applied Mathematics and Information Sciences, 2016 Multidimensional scaling (MDS) is a class of projective algorithms traditionally used in Euclidean space to produce two- or three-dimensional visualizations of datasets of multidimensional points or point distances. More recently however, several authors have pointed out that for certain datasets, hyperbolic target space may provide a better fit than ...
Cvetkovski, Andrej, Crovella, Mark
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Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data [PDF]
MathematicsHierarchical clustering analysis (HCA) is a widely used unsupervised learning method. Limitations of HCA, however, include imposing an artificial hierarchy onto non-hierarchical data and fixed two-way mergers at every level.
Korey P. Wylie, Jason R. Tregellas
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Projective geometry of the Poincare disk of a C*-algebra
Journal of Operator Theory, 2023 We study the Poincaré disk ${\cal D}=\{a\in {\cal A}: \|a\|<1\}$ of a C$^*$-algebra ${\cal A}$ from a projective point of view: ${\cal D}$ is regarded as an open subset of the projective line $\mathbb{P}_1{\cal A}$, the space of complemented rank one submodules of ${\cal A}^2$. We introduce the concept of cross ratio of four points in $\mathbb{P}_1{\
Andruchow, Esteban +2 more
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Directed suborbital graphs on the Poincare disk [PDF]
Karaelmas Science and Engineering Journal, 2018 In this paper we investigate suborbital graphs of a special congruence subgroup of modular group. And this directed graphs is drawn in Poincare disk.
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Investigation of Phase Portraits Belonging to Polynomial Dynamic Systems in a Poincare Disk
Journal of Physics: Conference Series, 2019 Abstract The paper describes especially developed research methods and results for some original study of a broad dynamic systems’ family, which is characterized with the reciprocal polynomials in the right parts of differential equations which compose a system.
Irina A Andreeva
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Compass and Straightedge in the Poincare Disk [PDF]
American Mathematical Monthly, 2001 (2001). Compass and Straightedge in the Poincare Disk. The American Mathematical Monthly: Vol. 108, No. 1, pp. 38-49.
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The Poincare Conjecture is True in the Product of any Graph with a Disk [PDF]
Proceedings of the American Mathematical Society, 1990 We prove that the only compact 3 3 -manifold-with-boundary which has trivial rational homology, and which embeds in the product of a graph with a disk, is the 3 3 -ball. This implies that no punctured lens space embeds in the product of a graph with a disk. It also implies our title.
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Multidimensional Scaling in the Poincare Disk [PDF]
, 2011 Mark Crovella, Andrej Cvetkovski
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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