Article Title

Real Number Rado Numbers for the Equation ∑_(i=1)^(m-1)▒x_(i+c=x_m )

Authors

Melanie Zinter, South Dakota State University

Faculty Mentor

Daniel Schaal

Abstract

This paper will examine the type of Ramsey theory concerned with the preservation of solution to specific linear equations under set partition. That is, if a solution to a linear equation exists in the natural numbers, must one also exist within one set of a partition of the natural numbers? To differentiate sets of a partition of the natural numbers from one another, it is convenient to use colors. Then a solution in just one set of a partition of the natural numbers can be referred to as monochromatic solution, or a solution in a single color. [Page 1]

Recommended Citation

Zinter, Melanie (2011) "Real Number Rado Numbers for the Equation ∑_(i=1)^(m-1)▒x_(i+c=x_m )," The Journal of Undergraduate Research: Vol. 9, Article 13.
Available at: https://openprairie.sdstate.edu/jur/vol9/iss1/13