Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

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

The terminology and notation used in this paper have been introduced in the following articles [22] [26] [2] [23] [27] [5] [3] [4] [1] [12] [18] [20] [21] [8] [24] [28] [6] [7] [13] [16] [25] [10] [9] [19] [15] [14] [11] [17]

Contents (PDF format)

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

Bibliography

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Received March 15, 1993


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