Integrated generic resource: Mathematical representation ISO 10303-51:2005(E)
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Cover page
Table of contents
Copyright
Foreword
Introduction
1 Scope
2 Normative references
3 Terms, definitions and abbreviations

4 Mathematical context
   4.1 Introduction
   4.2 Fundamental concepts and assumptions
   4.3 Mathematical context type definitions
   4.4 Mathematical context entity definitions
5 Mathematical description of distribution
   5.1 Introduction
   5.2 Fundamental concepts and assumptions
   5.3 Mathematical description of distribution type definition
   5.4 Mathematical description of distribution entity definitions

A Short names of entities
B Information object registration
C Computer interpretable listings
D EXPRESS-G diagrams
Index

Introduction

ISO 10303 is an International Standard for the computer-interpretable representation of product information and for the exchange of product data. The objective is to provide a neutral mechanism capable of describing products throughout their life cycle. This mechanism is suitable not only for neutral file exchange, but also as a basis for implementing and sharing product databases, and as a basis for archiving.

This part of ISO 10303 is a member of the integrated resources series. Major subdivisions of this part of ISO 10303 are:

This part of ISO 10303 specifies an application resource for the representation of of mathematical values, spaces and functions to describe or identify products, states and activities. sche

A mathematical value can identify a product, product feature, state or activity.

EXAMPLE 1   The temperature sensor at position P in my_test_rig is identified by the integer value 27.

A mathematical value can describe a physical quantity value.

EXAMPLE 2   The temperature, which is possessed by my_test_rig at position P in state S, is described by the real value 45.3 with respect to the Celsius scale.

A mathematical space can provide an identification scheme, or parameterisation, for a set or space of products, product features, states or activities.

EXAMPLE 3   The members of the set of temperature sensors in my_test_rig are identified by integers in the interval [1, 200].

A mathematical space can provide an identification scheme, or parameterisation, for a physical quantity space.

EXAMPLE 4   The values within the temperature physical quantity space are described or identified by reals in the set greater than -273.17.

A mathematical function can describe a variation of property with respect to position within a set of products, product features, states or activities.

EXAMPLE 5   The variation of temperature with respect to the sensors within my_test_rig in state S is described by a discrete function from the integer interval [1, 200] to the set of reals greater than -273.17. This function is understood with respect to a particular parameterisation of the temperature sensors and with respect to the Celsius scale.

The relationships of the schemas in this part of ISO 10303 to other schemas that define the integrated resources of this International Standard are illustrated in Figure 1 and Figure 2 using the EXPRESS-G notation. EXPRESS-G is defined in annex D of ISO 10303-11. Figure 1 shows references to schemas containing entities that are described. Figure 2 shows references to schemas containing entities that define the nature of the description.

The relationships of the schemas in this part of ISO 10303 to other schemas that define the integrated resources of this International Standard are illustrated in Figure 1 using the EXPRESS-G notation. EXPRESS-G is defined in Annex D of ISO 10303-11.

The following schemas not found in this part of ISO 10303 are shown in Figure 1:

The schemas illustrated in Figure 1 are components of the integrated resources.



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