@MISC{INTEGR15.MIZ,
  AUTHOR = {Miyajima, Keiichi and Shidama, Yasunari},
  TITLE = {Riemann Integral of Functions from $\mathbb{R}$ into $\calR^n$},
  SECTION1 = {Preliminaries},
  SECTION2 = {Definition of Riemann Integral of Functions from $\mathbb{R}$ into   $\calR^n$},
  SECTION3 = {Linearity of Integration Operator},
  DAY = {05},
  MONTH = {May},
  YEAR = {2009},
  ADDRESS1 = {Ibaraki University\\ Hitachi, Japan},
  ADDRESS2 = {Shinshu University\\ Nagano, Japan},
  SUMMARY = {In this article, we define the Riemann integral of 
  functions from $\mathbb{R}$ into $\calR^n$, and prove the 
  linearity of this operator. 
  The presented method is based on \cite{Murray:1974}.}}

