ISO 10303-51-2005 PDF

Full title and description

Industrial automation systems and integration — Product data representation and exchange — Part 51: Integrated generic resource: Mathematical representation (ISO 10303-51:2005). This entry describes the 2005 edition (Edition 1) of Part 51 of the ISO 10303 (STEP) family, as issued in October 2005 and commonly distributed as a PDF by standards publishers and national bodies.

Abstract

ISO 10303-51:2005 specifies the integrated generic resource “Mathematical representation.” It constrains and formalizes the use of mathematical value concepts (defined in ISO 10303‑50) for STEP data models, specifying how real and integer numbers identify physical quantity instances, how mathematical spaces represent ranges or sets, and how mathematical functions describe property variations over continuous or discrete domains.

General information

• Status: Published (International Standard; confirmed in periodic review).
• Publication date: October 2005 (2005-10).
• Publisher: International Organization for Standardization (ISO); editions and national identical adoptions are available from national bodies and standards resellers.
• ICS / categories: 25.040.40 (Industrial process measurement and control / Product data representation and exchange).
• Edition / version: Edition 1 (ISO 10303-51:2005).
• Number of pages: 38 pages (typical published PDF length for the ISO edition).

Core bibliographic and status details are recorded on the ISO catalogue and in major standards catalogs.

Scope

This part of ISO 10303 defines the integrated generic resource for mathematical representation used within STEP data models. The scope is to constrain the abstract concepts of mathematical value (from Part 50) into concrete uses that support product data exchange: mapping numbers to physical quantities, defining mathematical spaces as ranges or sets of entities, and specifying functions that represent property variations. The scope is limited to the modelling constructs and usage rules required by STEP application protocols and integrated resources.

Key topics and requirements

• Definitions and constraints for mathematical value concepts inherited from ISO 10303‑50.
• Rules for using real and integer numbers to identify physical quantity instances, products, activities, and states.
• Definition of mathematical spaces as the range of identification functions or as sets of entities.
• Specification of mathematical functions to describe property variation over continuous or discrete domains.
• Data modelling constructs intended for consistent interpretation in STEP application protocols and exchange files.

Typical use and users

Primary users are STEP model authors, CAD/PLM software developers, data exchange implementers, systems integrators, and technical committees defining application protocols. The resource is used when numerical values, parameter spaces, and functional descriptions must be modelled and exchanged reliably between tools and organizations. Implementers typically consult the PDF or national adoption for concrete syntax and model constraints.

Related standards

ISO 10303-51 is part of the ISO 10303 family (commonly called STEP). It is closely related to ISO 10303-50 (mathematical value concepts) and to other integrated generic resources and application protocol parts across the 10303 series (for example parts addressing geometry, topology and other integrated resources). National adoptions and companion parts provide implementation context.

Keywords

ISO 10303, STEP, mathematical representation, integrated generic resource, mathematical value, product data representation, numerical value, mathematical space, function, data modelling, CAD, PLM, data exchange.

FAQ

Q: What is this standard?

A: ISO 10303-51:2005 is Part 51 of the ISO 10303 (STEP) series. It defines the integrated generic resource “Mathematical representation” used to model numerical and mathematical constructs within product data exchange.

Q: What does it cover?

A: It covers modelling constructs and usage constraints for mathematical values, spaces, and functions when used in STEP models — for example, how to represent real/integer numbers as physical quantities, how to define ranges or sets (spaces), and how to represent property-varying functions.

Q: Who typically uses it?

A: Engineers involved with CAD/PLM interoperability, software developers implementing STEP readers/writers, systems integrators, and standards authors who create or maintain STEP application protocols. National standards bodies and commercial standards distributors also handle the PDF distribution.

Q: Is it current or superseded?

A: The 2005 edition (Edition 1) remains the published part for ISO 10303‑51; the record shows the standard as published in October 2005 and subject to ISO’s periodic review process (confirmed status in ISO records). Users should check the ISO catalogue or their national standards body for the latest confirmation or amendment history before relying on normative status.

Q: Is it part of a series?

A: Yes — it is one part of the ISO 10303 (STEP) series of standards for product data representation and exchange; it works together with other parts (for example Part 50) to provide complete modelling and exchange semantics.

Q: What are the key keywords?

A: STEP, mathematical representation, mathematical value, ISO 10303, integrated generic resource, product data exchange, numerical modelling, CAD/PLM interoperability.