This paper introduces a novel user interface of online product catalogs. Our research focused on its capability for helping shoppers to navigate and analyze online product information. Specifically, we discuss the application of a new multi-level focus+context visualization technique, called 2+1D Fisheye Browser; in the design of interactive visual interface which can be used to assist buyers i...

Complex hyperbolic triangle groups are representations of a hyperbolic (p, q, r) reflection triangle group to the group of holomorphic isometries of complex hyperbolic space H C , where the generators fix complex lines. In this paper, we obtain all the discrete and faithful complex hyperbolic (3, 3, n) triangle groups. Our result solves a conjecture of Schwartz [16] in the case when p = q = 3.

In this paper, we give an application of iterated pushdown automata to contour words of balls and two other domains in infinitely many tilings of the hyperbolic plane. We also give a similar application for the tiling {5, 3, 4} of the hyperbolic 3D space and for the tiling {5, 3, 3, 4} of the hyperbolic 4D space as well. keywords: pushdown automata, iterated pushdown automata, tilings, hyperbol...

We introduce an algorithm which transforms every four-dimensional cubulation into a cusped finite-volume hyperbolic four-manifold. Combinatorially distinct cubulations give rise to topologically distinct manifolds. Using this algorithm we construct the first examples of finite-volume hyperbolic four-manifolds with one cusp. More generally, we show that the number of k-cusped hyperbolic four-man...

Chinburg and Reid have recently constructed examples of hyperbolic 3manifolds in which every closed geodesic is simple. These examples are constructed in a highly non-generic way and it is of interest to understand in the general case the geometry of and structure of the set of closed geodesics in hyperbolic 3-manifolds. For hyperbolic 3-manifolds which contain an immersed totally geodesic surf...

In the preceding Comment it is alleged that a " hidden loophole " in the proof of Hara's theorem has been found, which purportedly invalidates the conclusions of the paper commented upon. I show that there is no such loophole in the constituent quark model, and that the " counterexample " presented in the Comment is not gauge invariant.

ABSTRACT Re ent work has made mu h of using semanti knowledge, derived in parti ular from domain ontologies, for improving text learning tasks. Semanti knowledge is assumed to apture more in-depth knowledge of the text domain in omparison with onventional statisti s-based methods that an only rely on more surfa e vo abulary-spe i hara teristi s of a data set. Therefore, using semanti knowledge ...

Hara and Massey [1] have investigated the annihilation of positrons in Ar-CO mixtures while the present author studied the behaviour of positrons in the noble gas mixtures (Ne + Ar) [2] and (He-)-Ar) [3]. It has been found that the annihilation decay constant, A, depends quite sensitively on the nature of the gas mixture. Our calculations [3] indicate that it will be quite interesting to explor...

The dispersion relations for conventional uniaxial dielectric mediums may be characterized as elliptical or elliptical–like, according to whether the medium is nondissipative or dissipative, respectively. However, under certain constitutive parameter regimes, the dispersion relations may be hyperbolic or hyperbolic–like. We investigate planewave propagation in a hyperbolic/hyperbolic–like uniax...

For 3D reaction–diffusion equations, we study the problem of existence or nonexistence of an inertial manifold that is normally hyperbolic or absolutely normally hyperbolic. We present a system of two coupled equations with a cubic nonlinearity which does not admit a normally hyperbolic inertial manifold. An example separating the classes of such equations admitting an inertial manifold and a n...