In many industrial designs, such as automobiles and electrical products, evaluating the quality of curved surfaces in the design is very important. If the designer can con rm shapes of curved surfaces visually, working with photo-realistic computer generated images, the designer's \sense" is well utilized. In this paper we will demonstrate method for producing images which can be used by design...

The problem of determining visibility locations (VLs) on/inside a domain bounded by a planar C1-continuous curve (without vertices), such that entire domain is covered, is discussed in this paper. The curved boundary has been used without being approximated into lines or polygons. Initially, a few observations regarding the VLs for a curved boundary have been made. It is proposed that the set o...

We prove that whenever G is negatively curved and ? = G ZZ n acts geometrically on two CAT(0)-spaces X and X 0 , their visual boundaries are ?-equivariantly homeomorphic, answering aarmatively a question of Gromov in this special case. However, we give a simple example that shows that the natural ?-equivariant quasi-isometry from X to X 0 does not continuously extend to a homeomorphism of visua...

Understanding symmetries and arrangements in existing content is the first step towards providing higher level content aware editing capabilities. Such capabilities may include edits that both preserve existing structure as well as synthesize entirely new structures based on the extracted pattern rules. In this paper we show how to detect regular symmetries and arrangement along curved segments...

Escherichia coli hns, encoding the abundant nucleoid protein H-NS, was subjected to site-directed mutagenesis either to delete Pro115 or to replace it with alanine. Unlike the wild-type protein, hyperproduction of the mutant proteins did not inhibit macromolecular syntheses, was not toxic to cells and caused a less drastic compaction of the nucleoid. Gel shift and ligase-mediated circularizatio...

We discuss issues concerning M(atrix) theory compactifications on curved spaces. We argue from the form of the graviton propagator on curved space that excited string states do not decouple from the annulus D0-brane v amplitude, unlike the flat space case. This argument shows that a large class of quantum mechanical systems with a finite number of degrees of freedom cannot reproduce supergravit...

Closed form expressions are developed for the thermoelastic curvature of the initially plane end faces of a traction free cylinder subjected to arbitrary axisymmetric heat flux, the curved surfaces being assumed insulated. The solution is developed from a potential function representation of displacement and temperature for an elastic layer. The reciprocal theorem is invoked to show that the tr...

I show that a cosmological constant of roughly the observed magnitude in the present universe is a consequence of general relativity and quantum field theory in curved spacetime, and was first predicted by Parker and Toms in 1985. This prediction follows from the “new partially summed form” of the propagator in curved spacetime. The effect is based on the contribution of massive particles to th...

We discuss issues concerning (M)atrix model compactifications on curved spaces. We argue from the form of the graviton propagator on curved space that excited string states do not decouple from the annulus D0-brane v amplitude, unlike the flat space case. This argument shows that a large class of quantum mechanical systems with a finite number of degrees of freedom cannot reproduce supergravity...

In this paper we study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which we call quasi-κ-curved metrics. Quasi-κ-curved metrics generalize the metrics of space forms. We construct explicit examples and prove results about existence and rigidity. Introduction Definition: Let (M, g̃) be a Riemannian manifold. We will say g̃ is a quasi-κcurved metric if there ...