Sequences with zero autocorrelation are of interest because of their use in constructing orthogonal matrices and because of applications in signal processing, range finding devices, and spectroscopy. Golay sequences, which are pairs of binary sequences (i.e., all entries are \1) with zero autocorrelation, have been studied extensively, yet are known only in lengths 21026. Ternary complementary ...

Harborth [Elemente der Mathematik, Vol. 33 (5), 116–118, 1978] proved that every set of 10 points in the plane, no three on a line, contains an empty convex pentagon. From this it follows that the number of disjoint empty convex pentagons in any set of n points in the plane is least ⌊ n 10 ⌋. In this paper we prove that every set of 19 points in the plane, no three on a line, contains two disjo...

preprint numerics no. 2/2007 norwegian university of science and technology trondheim, norway The 'pseudo-harmonic' extension is an approximation to the common harmonic extension for extending a function over a domain based on its trace along the boundary of the domain. On a circle the two extension methods produce identical results. We present explicit formulas for the computation of distance ...

The terrorist attacks on the World Trade Center and the Pentagon have changed the world as we knew it. Although there is clearly an immediate need for reconstruction of Lower Manhattan, it is too early to predict what all of the implications on the construction industry nationwide will be. Yet, the very real terrorist threats we have to learn to live with will have repercussions on the types of...

Sparked by high-profile confrontations between police and citizens in Ferguson, Missouri, and elsewhere, many commentators have criticized the excessive militarization of law enforcement. We investigate whether surplus military-grade equipment acquired by local police departments from the Pentagon has an effect on crime rates. We use temporal variations in US military expenditure and betweencou...

We propose a new version of the spatial model of voting. Platforms of five parties are evolving in a two-dimensional landscape of political issues so as to get maximal numbers of voters. For a Gaussian landscape the evolution leads to a spatially symmetric state, where the platform centers form a pentagon around the Gaussian peak. For a bimodal landscape the platforms located at different peaks...

This study aimed to answer two research questions. First, is pair programming more cost effective than solo programming in all situations? Second, in what situations is pair programming more cost effective than solo programming? We adopted and extended economic models specified by prior researchers. We examined two different scenarios and conducted simulations where we varied across a wide rang...