IEC 60050-102:2007/AMD3:2021

Amendment 3 - International Electrotechnical Vocabulary (IEV) - Part 102: Mathematics - General concepts and linear algebra

Amendement 3 - Vocabulaire Electrotechnique International (IEV) - Partie 102: Mathématiques - Concepts généraux et algèbre linéaire

Mednarodni elektrotehniški slovar (IEV) - 103. del: Matematika - Splošni pojmi in linearna algebra - Dopolnilo A3

General Information

• Status: Published
• Publication Date: 22-Mar-2021
• ICS: 01.040.07 - Natural and applied sciences (Vocabularies)
• ICS: 07.020 - Mathematics
• Technical Committee: TC 1 - Terminology
• Current Stage: PPUB - Publication issued
• Start Date: 26-Apr-2021
• Completion Date: 23-Mar-2021
• Ref Project: SIST IEC 60050-102:2026/A3:2026 - Amendment 3 - International Electrotechnical Vocabulary (IEV) - Part 102: Mathematics - General concepts and linear algebra

Relations

• Amends: IEC 60050-102:2007 - International Electrotechnical Vocabulary (IEV) - Part 102: Mathematics - General concepts and linear algebra
• Effective Date: 05-Sep-2023

Overview

The IEC 60050-102:2007/AMD3:2021 Amendment 3 updates the International Electrotechnical Vocabulary (IEV) with refined definitions and clarifications concerning Mathematics, specifically focusing on general concepts and linear algebra. Published by the International Electrotechnical Commission (IEC), this amendment enhances the precision and usability of mathematical terminology used in electrotechnical contexts. It ensures global consistency in the understanding and application of mathematical principles relevant to electrotechnics, engineering, and related scientific fields.

Key Topics

This amendment primarily covers:

• General Mathematical Concepts
  Definitions and rigorous explanations of fundamental concepts in mathematics that are integral to diverse electrotechnical applications.

• Linear Algebra Fundamentals
  Terms and theorems related to vector spaces, matrix operations, and algebraic structures crucial for analyzing electrical systems and signals.

• Stokes Theorem (Circulation Theorem)

  • Describes the equivalence between the surface integral of the curl of a vector field over a surface ( S ), and the line integral (circulation) of the vector field along the boundary curve ( C ).
  • Clarifies the orientation rules for the surface ( S ) and curve ( C ), ensuring correct application in physical contexts.
  • Notes its generalization to ( n )-dimensional Euclidean spaces and specific use in magnetostatics, relating magnetic flux to the circulation of magnetic vector potential.

These refined definitions promote standardized communication and consistent use of mathematical terminology in technical documentation, research, and industry standards.

Applications

The vocabulary and concepts updated in this amendment are fundamental for:

• Electrotechnical Engineering
  Supporting precise technical descriptions in system design, signal processing, and electromagnetic theory.

• Scientific Research and Development
  Providing a common language for mathematicians, physicists, and engineers working on theoretical and practical problems involving vector calculus and linear algebra.

• Educational Resources
  Enhancing teaching materials and reference works that rely on internationally recognized definitions of mathematical concepts.

• Standardization and Documentation
  Assisting standards developers and technical writers in producing coherent, interoperable standards across the electrotechnical domain.

Related Standards

• IEC 60050 Series – The full International Electrotechnical Vocabulary set, providing comprehensive definitions across various electrotechnical fields.

• IEC 60050-102 (original edition, 2007) – The base document for mathematics-related vocabulary elements updated by this amendment.

• IEC Technical Committee 1 (Terminology) – Responsible for developing and maintaining terminology standards critical for global electrotechnical communication.

Why This Amendment Matters

Amendment 3 addresses important clarifications and incorporates changes approved by expert committees to:

• Ensure precision and uniformity in mathematical terminology across international standards.
• Support evolving scientific understanding, such as generalizations of Stokes theorem to higher-dimensional spaces.
• Enhance the clarity of definitions used in magnetostatics and electromagnetic theory, critical for electrical engineering and physics applications.

By adhering to these updated definitions, engineers, researchers, and standards professionals can communicate complex mathematical ideas more effectively, which drives innovation and interoperability in the electrotechnical industry.

Standards Content (Sample)

IEC 60050-102 ®
Edition 1.0 2021-03
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
HO RIZONTAL PUBLICATION
PU BLICATION HORIZONTALE
AMENDMENT 3
AMENDEMENT 3
International Electrotechnical Vocabulary (IEV) –
Part 102: Mathematics – General concepts and linear algebra

Vocabulaire Electrotechnique International (IEV) –
Partie 102: Mathématiques – Concepts généraux et algèbre linéaire

IEC 60050-102:2007-08/AMD3:2021-03(en-fr)

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SLOVENSKI STANDARD
01-januar-2026
Mednarodni elektrotehniški slovar (IEV) - 103. del: Matematika - Splošni pojmi in
linearna algebra - Dopolnilo A3
Amendment 3 - International Electrotechnical Vocabulary (IEV) - Part 102: Mathematics -
General concepts and linear algebra
Amendement 3 - Vocabulaire Electrotechnique International (IEV) - Partie 102:
Mathématiques - Concepts généraux et algèbre linéaire
Ta slovenski standard je istoveten z: IEC 60050-102:2007/AMD3:2021
ICS:
01.040.07 Naravoslovne in uporabne Natural and applied sciences
vede (Slovarji) (Vocabularies)
07.020 Matematika Mathematics
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

IEC 60050-102 ®
Edition 1.0 2021-03
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
H ORIZONTAL PUBLICATION
P UBLICATION HORIZONTALE
AMENDMENT 3
AMENDEMENT 3
International Electrotechnical Vocabulary (IEV) –

Part 102: Mathematics – General concepts and linear algebra

Vocabulaire Electrotechnique International (IEV) –

Partie 102: Mathématiques – Concepts généraux et algèbre linéaire

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 01.040.07; 07.020 ISBN 978-2-8322-9599-1

– 2 – IEC 60050-102:2007/AMD3:2021
© IEC 2021
FOREWORD
This amendment specifies changes made to the International Electrotechnical Vocabulary
(www.electropedia.org) which have not been published as a separate standard.
The text of this amendment is based on the following change requests approved by IEC
technical committee 1: Terminology.
Change request Approved
C00066 2021-02-26
Full information on the voting for the approval of the change requests constituting this
amendment can be found on the IEV maintenance portal.

_____________
AVANT-PROPOS
Le présent amendement spécifie les modifications apportées au Vocabulaire Electrotechnique
International (www.electropedia.org) qui n'ont pas été publiées dans des normes
individuelles.
Le texte de cet amendement est issu
...