@MISC{RFUNCT_3.MIZ,
  AUTHOR = {Kotowicz, Jaros{\l}aw and Sakai, Yuji},
  TITLE = {Properties of Partial Functions from a Domain to the Set of Real Numbers},
  SECTION1 = {Nonnegative and Nonpositive Part of a Real Number},
  SECTION2 = {Properties of Real Function},
  DAY = {15},
  MONTH = {March},
  YEAR = {1993},
  ADDRESS1 = {Warsaw University\\Bia{\l}ystok},
  ADDRESS2 = {Shinshu University\\Nagano},
  SUMMARY = {The article consists of two parts. In the first one
    we consider notion of nonnegative and nonpositive part of a real numbers.
     In the second we consider partial function from a domain to the set of
    real numbers (or more general to a domain). We define a few new operations
    for these functions and show connections between finite sequences of real
    numbers and functions which domain is finite. We introduce 
    {\em integrations} for finite domain real valued functions.}}

