Foreword

ISO/WD 10303-107 was prepared by Technical Committee ISO/TC 184, Industrial automation systems and integration, Subcommittee SC4, Industrial data.

This International Standard is organized as a series of parts, each published separately. The parts of ISO 10303 fall into one of the following series: description methods, integrated resources, application inter-preted constructs, application modules, application protocols, abstract test suites, implementation methods, and conformance testing. The series are described in ISO 10303-1. A complete list of parts of ISO 10303 is available from the Internet:

http://www.nist.gov/sc4/editing/step/titles/.

Annexes A and B form an integral part of this part of ISO 10303. Annexes, C, D, E, aand F are for information only.

Introduction

The Tabular function application module defines a function that is a table of mathematical values.

NOTE - A table of mathematical values is a function between:

• a domain that is the subscript space for the table; and
• a range that contains each mathematical value in the table.

Matrices of any order and with any number of dimensions are tabular functions. An array is a tabular function with one dimension. There are concise forms of specification for tables with a particular structure, as follows:

• sparse tables in which most values are zero;
• triangular matrices in which either the lower or upper triangle is all zero;
• symmetric matrices;
• banded matrices, in which only terms close to the diagonal are non-zero.

A tabular function can be used to describe a discrete property distribution, such as a property distributed over a set of cells in a lumped parameter analysis, or over a set of sensors in data logging. In this case, each value in the table, identifies the property value for a single cell or sensor.

A tabular function as a whole, such as a symmetric 3´3 matrix, is also a mathematical value. As a mathematical value, a tabular function can be used to identify a property value, such as a stress tensor, with respect to a scale.

The values in a tabular function can themselves be tabular functions.

Industrial automation systems and integration —
Product data representation and exchange —
Part 1094: Application module: Tabular function

1 Scope

The Tabular function application module is concerned with tables of mathematical values.

The following are within the scope of this application module:

• a table of numbers, in which each term is explicitly defined;

• a sparse table of numbers, in which most values are zero;

• a banded matrix in which only terms close to the diagonal are non-zero;

• a triangular matrix in which the upper or lower triangle of terms is zero;

• a symmetric matrix.

The following are outside the scope of this module:

• a single real, integer, complex or Boolean value;

  NOTE - Values of this type are within the scope of the Maths value application module.

• the association of units with a mathematical value;

  NOTE - The use of a mathematical value to identify a property value with respect to a scale is within the scope of the Property identification application module.

• the use of a tabular function to describe a discrete property distribution, such as values for cells in a lumped parameter analysis, or values for sensors in data logging.

  NOTE - The use of a mathematical function to describe a discrete property distribution is within the scope of the Distribution mapping application module.