During the summer of 2012, I spent eight weeks in Puerto Baquerizo Moreno on the island of San Cristobal, Galapagos, Ecuador. My purpose was to work with the Ministry of Education on a project aimed to prepare the local ...

The Heisenberg group, named for Werner Heisenberg, is the group of upper triangular 3x3 matrices with ones down the diagonal. The group is not abelian, but shows many signs of"commutativity. It's center and commutator ...

It was shown by Ore [1951] that each element of A n, the alternating group on n letters, is a commutator, aba-lb-1 for some a and b in S n. Xu (1965] went further and showed that, given an element a in A n then, given any ...

Since the beginning of history, man has been obsessed with finding patterns in the world. Ancient rulers would contact oracles to help read the patterns in the stars or in the way a flock of birds fly. By finding the ...

The purpose of this paper is to introduce the Pascal Pyramid and present some of its basic properties and its structure, as well as a few of its more interesting problems. This work is the result of journal searching and ...

In pinon-juniper woodland sites, rapid transitions from low to high rates of hillslope runoff and erosion rates appear to occur with changes in ground cover. We use modified percolation equations, which have been used ...

In this paper, I will first give a brief overview of General Motors Assembly Division (GMAD) , including a history and an explanation of its function within General Motors. Then I will outline the goals and benefits ...

I believe one's ability to write well comes, in the end, from careful study of language and of writing itself. I also believe that various educational backgrounds can serve as a foundation for such study. In this paper, ...

This paper attempts to discover how to determine the parameters of a function using the zeroes of the function. Generalizing affine algebraic varieties, we define and develop the locus of a function, to that end. Specific ...