ISO 10303-50:2002

Overview

ISO 10303-50:2002 is Part 50 of the ISO 10303 family (STEP) and defines an integrated generic resource for mathematical constructs used in product data representation and exchange. The standard specifies schema constructs for the explicit representation of mathematical structures and data related to product properties - including multi-dimensional tables, mathematical expressions, mathematical functions, and mathematical spaces. Items outside its scope include context of application, physical units, and non-mathematical semantics.

Key Topics

The standard covers a wide range of technical topics for interoperable product-data math modeling:

• Mathematical functions and expressions: representation of functions, operands, function application, partial derivatives and definite integrals.
• Mathematical spaces and tuples: elementary spaces, tuple and product spaces, and space constraints.
• Tables and arrays: explicit table functions, linearized and regular table functions, multi-dimensional tables and reindexed arrays.
• Matrix types: triangular, symmetric, banded, and sparse matrix representations.
• Specialized constructs: finite functions, constant/selectors, series/parallel composed functions, B-spline basis and B-spline functions.
• Literals and variables: numeric, complex, boolean, string literals and variable declarations for math modeling.
• Conversion and validation functions: functions to derive domains/ranges, check compatibility, convert expressions to values or functions.

These topics reflect the standard’s focus on robust, machine-readable descriptions of mathematical content for engineering and product models.

Applications

ISO 10303-50 facilitates accurate exchange of quantitative and mathematical product information across systems:

• Enable interoperability between CAD, CAE, CAM, and PLM tools by standardizing how mathematical properties (curves, surfaces, material property tables, control laws) are represented.
• Store and share multi-dimensional lookup tables, interpolation functions, and B-spline representations used in geometry, simulation, and manufacturing processes.
• Support automation and integration workflows that require consistent mathematical semantics when transferring product data between software systems.

Keywords: ISO 10303-50, STEP, product data representation, mathematical constructs, multi-dimensional tables, B-spline, CAD/CAE interoperability.

Who Uses This Standard

• Software developers and integrators building CAD/CAE/PLM data exchange capabilities.
• Data modelers and systems engineers needing standardized mathematical constructs in product schemas.
• Organizations implementing STEP-based data exchange for engineering and manufacturing.

Related Standards

• ISO 10303 (STEP) core parts - ISO 10303-1 and other domain-specific parts for geometric, product-structure, and manufacturing data exchange.