Alan MacDonald

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Borrelia burgdorferi, the causative agent of Lyme disease, has long been known to be capable of forming aggregates and colonies. It was recently demonstrated that Borrelia burgdorferi aggregate formation dramatically changes the in vitro response to hostile environments by this pathogen. In this study, we investigated the hypothesis that these aggregates(More)
This paper gives two complete and elementary proofs that if the speed of light over closed paths has a universal value c, then it is possible to synchronize clocks in such a way that the one-way speed of light is c. The first proof is an elementary version of a recent proof. The second provides high precision experimental evidence that it is possible to(More)
We give a simple, elementary, direct, and motivated construction of the geometric algebra over R n. 1. Introduction. We give here a new construction of the geometric algebra GA(n) over R n equipped with the standard inner product. (We then extend to an inner product of arbitrary signature.) A construction of GA(n) proves that a structure satisfying the(More)
Geometry without algebra is dumb!-Algebra without geometry is blind!-David Hestenes The principal argument for the adoption of geometric algebra is that it provides a single, simple mathematical framework which eliminates the plethora of diverse mathematical descriptions and techniques it would otherwise be necessary to learn. founder, chief theoretician,(More)
We give a simple, elementary, direct, and motivated construction of the geometric algebra over R n. 1. Introduction. We give here a new construction of the geometric algebra GA(n) over R n. A construction of GA(n) proves that a structure satisfying the axioms of GA(n) exists. Simply stating the axioms and proceeding, as is commonly done, is a practical(More)