Properties of Partial Functions from a Domain to the Set of Real Numbers

Jaroslaw Kotowicz

Warsaw University, Bialystok

Yuji Sakai

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.

MML Identifier: RFUNCT_3

Contents (PDF format)

1. Nonnegative and Nonpositive Part of a Real Number
2. Properties of Real Function

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