2 citations · 4 across the 4 of their papers we have counts for
4 papers
A Geometric Approach to Defining Multiplication
Peter F. McLoughlin, Maria Droujkova
In this paper we will do the following: (1) show how to geometrically define multiplication, using only basic plane geometry, independently of area and any notion of similar triang…
When Does a Cross Product on R^{n} Exist?
Peter F. McLoughlin
It is probably safe to say that just about everyone reading this article is familiar with the cross product and the dot product. However, what many readers may not be aware of is t…
Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension
Jun Tanaka, Peter McLoughlin
In this paper, we will show how the Caratheodory Extension process is intimately related to the metric completion process. In particular, it will be shown how one is able to constr…
A Realization of Measurable Sets as Limit Points
Jun Tanaka, Peter F. McLoughlin
Starting with a sigma finite measure on an algebra, we define a pseudometric and show how measurable sets from the Caratheodory Extension Theorem can be thought of as limit points…