We study exact representations for offset curves and surfaces, for equal-distance curves and surfaces, and for fixedand variable-radius blending surfaces. The representations are myekeme of nonlinear equationn that define the curves and surfaces as natural projections from a bigherdimeneional space into &space. We show that the systems derived by-naively trsnalating the geometric constrainb def...

The (exclusion) statistics of parafermions is used to study degeneracies of quasiholes over the paired (or in general clustered) quantum Hall states. Focus is on the Zk and su(3)k/u(1) 2 parafermions, which are used in the description of spin-polarized and spin-singled clustered quantum Hall states.

A SU (4) ⊗ O(3) scheme for nonstrange baryons Abstract. We show that nonstrange baryon resonances can be classified according to multiplets of SU (4)⊗ O(3). We identify spectral regularities and degeneracies that allow us to predict the high spin spectrum from 2 to 3 GeV.

We present a microscopic index formula for the degeneracy of dyons in four-dimensional N = 4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are describe...

We have designed, prototyped, and evaluated the Legend file system, which exploits the ability to regenerate lost files to improve reliability. Unlike RAID-5 and RAID-6, Legend degrades gracefully as the number of failed storage devices increases. Legend also mitigates the high storage capacity overhead imposed by n-way replications. Combined with existing methods, Legend can form another line ...

Hisakazu Minakata, Hiroshi Nunokawa, Stephen Parke 1 Department of Physics, Tokyo Metropolitan University 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan [email protected] 2 Instituto de F́ısica Teórica, Universidade Estadual Paulista Rua Pamplona 145, 01405-900 São Paulo, SP Brazil [email protected] 3 Theoretical Physics Department, Fermi National Accelerator Laboratory P.O.Box ...

Symbolic perturbation by innnitely small values removes degeneracies in geometric algorithms and enables programmers to handle only generic cases: there are a few such cases, whereas there are an overwhelming number of degenerate cases. Current perturbation schemes have limitations, presented below. To overcome them, this paper proposes to use an-arithmetic, i.e. to represent in an explicit way...