§11 Groups with invariant points or lines : Discontinuous Groups of Isometries in the Hyperbolic PlaneFenchelWerner / NielsenJakob
aThe system always has two invariant lines, x = 0 and y = 0. A third one may appear under special conditions.It passes through singular points B: (−1a , 0) and C: (0,λd ), as it could not cross the axes elsewhere, therefore, the equation of this line is dy −λax−...
Instead of exponentially localizing on lattice boundaries, topological edge modes exhibit anomalous behaviors that decay to a plateau governed by the stable fixed points of nonlinearities. Fig. 1: The minimal model of nonlinear SSH chain. a Schematic illustration of the lattice subjected to PBC. ...
O2-VAE representations have better linear probing scores (0.7) than prealign-VAE (0.58) and VAE (0.56). Next, we leverage the representation space to suggest plausible shape deformations8,41 by taking two shapes (Fig. 4c, row edges) and sampling intermediate points in the embedding space (...
We present properties of equivalence classes of the codivergency relation defined for a Brouwer homeomorphism for which there exists a family of invariant pairwise disjoint lines covering the plane. In particular, using the codivergency relation we describe the sets of regular and irregular points ...
An interactive and intuitive deformation system for free formed curved surface Orthographic views are a most popular and important tool for shape modeling in Computer Graphics, and a user can set points and lines with numerical accura... K Maeno,M Okada,JI Toriwaki - 《Journal of the Society ...
A Lorentz-invariant approximation method for obtaining the equations of motion of mass points in the general theory of relativity was developed recently. I... Stanley,F.,Smith,... - 《Physical Review》 被引量: 25发表: 1965年 On the Derivation of the Equations of Motion. General Relativity ...
Furthermore, the techniques allow extraction of interpretable feature vectors using spectrogram and to capture intensity among data points (Ravì, Wong, Lo, et al., 2017). Interestingly, some studies have also found that such fusion are important means to model lateral and temporal variation in ...
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lines into q 2 +q +1 (disjoint) spreads. An invariant for spreads of PG(3, q) Review PG(3, q), spreads, parallelisms Definition Let V be a 4-dimensional vector space over the finite field GF(q). The points and lines of PG(3, q) are given by i points are the 1-dim...