#### Filter Results:

#### Publication Year

1975

2012

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

—In this paper, we present LEASE, a new system and framework for Location Estimation Assisted by Stationary Emitters for indoor RF wireless networks. Unlike previous studies, we emphasize the deployment aspect of location estimation engines. Motivated thus, we present an adaptable infrastructure-based system that uses a small number of stationary emitters… (More)

Recently, a class of experimental designs has been devised that guarantee input domain coverage up to all combinations of k test factors taken t at a time. With such designs, all pairwise combinations (or triplets or quadruplets, etc.) are selected at least once. To evaluate their applicability to software testing, we analyzed the extent to which software… (More)

Ahtract-The class of nonnegative definite Toeplitz matrices that can be embedded in nonnegative definite circulant matrices of larger sue is characterized. An equivalent characterization in terms of the spectrum of the underlying process is also presented, together with the corresponding extrema1 processes. It is shown that a given finite duration sequence… (More)

The Descartes circle theorem states that if four circles are mutually tangent in the plane, with disjoint interiors, then their curvatures (or " bends ") b i = 1 r i satisfy the relation (b 1 + b 2 + b 3 + b 4) 2 = 2(b 2 1 + b 2 2 + b 2 3 + b 2 4). We show that similar relations hold involving the centers of the four circles in such a configuration,… (More)

This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configurations, which are sets of four mutually touching circles. They studied packings that had integrality properties in terms of the curvatures and centers of the circles. Here we… (More)

Three circles touching one another at distinct points form two curvilinear triangles. Into one of these we can pack three new circles, touching each other, with each new circle touching two of the original circles. In such a sextuple of circles there are three pairs of circles , with each of the circles in a pair touching all four circles in the other two… (More)

- Ronald L Graham, Jeffrey C Lagarias, Colin L Mallows, Allan R Wilks, Catherine H Yan, C H Yan
- 2000

Apollonian circle packings arise by repeatedly filling the interstices between mutually tangent circles with further tangent circles. It is possible for every circle in such a packing to have integer radius of curvature, and we call such a packing an integral Apollonian circle packing. This paper studies number-theoretic properties of the set of integer… (More)