SIST EN ISO 80000-2:2019

Quantities and units - Part 2: Mathematics (ISO 80000-2:2019, Corrected version 2021-11)

This document specifies mathematical symbols, explains their meanings, and gives verbal equivalents
and applications.
This document is intended mainly for use in the natural sciences and technology, but also applies to
other areas where mathematics is used.

Größen und Einheiten - Teil 2: Mathematik (ISO 80000-2:2019)

Dieses Dokument legt mathematische Zeichen fest, erläutert deren Bedeutung und gibt Sprechweise und Anwendungen an.
Dieses Dokument richtet sich hauptsächlich an Naturwissenschaft und Technik, ist jedoch auch in anderen Bereichen anwendbar, in denen Mathematik verwendet wird.

Grandeurs et unités - Partie 2: Mathématiques (ISO 80000-2:2019)

Le présent document spécifie les symboles mathématiques, explique leurs sens et donne leurs énoncés et leurs applications.
Le présent document est principalement destiné à être utilisé dans les sciences de la nature et dans la technique. Cependant, il s'applique également à d'autres domaines utilisant les mathématiques.

Veličine in enote - 2. del: Matematika (ISO 80000-2:2019, popravljena verzija 2021-11)

Ta dokument določa matematične simbole in razlaga njihov pomen ter podaja besedne ustreznice in načine uporabe. Ta dokument je namenjen zlasti uporabi v naravoslovnih vedah in tehniki, vendar se uporablja tudi na drugih področjih, kjer se uporablja matematika.

General Information

• Status: Published
• Public Enquiry End Date: 01-Nov-2016
• Publication Date: 05-Nov-2019
• ICS: 01.060 - Quantities and units
• ICS: 07.020 - Mathematics
• Technical Committee: TRS - Technical drawings, quantities, units, symbols and graphical symbols
• Current Stage: 6100 - Translation of adopted SIST standards (Adopted Project)
• Start Date: 11-Nov-2022
• Due Date: 10-Nov-2023
• Completion Date: 05-Sep-2023
• Ref Project: EN ISO 80000-2:2019 - Quantities and units - Part 2: Mathematics (ISO 80000-2:2019, Corrected version 2021-11)

Relations

• Replaces: SIST ISO 80000-2:2013 - Quantities and units - Part 2: Mathematical signs and symbols to be used in the natural sciences and technology
• Effective Date: 01-Dec-2019
• Replaces: SIST EN ISO 80000-2:2013 - Quantities and units - Part 2: Mathematical signs and symbols to be used in the natural sciences and technology (ISO 80000-2:2009)
• Effective Date: 01-Dec-2019

Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 80000-2:2019
01-december-2019
Nadomešča:
SIST EN ISO 80000-2:2013
SIST ISO 80000-2:2013
Veličine in enote - 2. del: Matematika (ISO 80000-2:2019, popravljena verzija 2021-
11)
Quantities and units - Part 2: Mathematics (ISO 80000-2:2019, Corrected version 2021-
11)
Größen und Einheiten - Teil 2: Mathematik (ISO 80000-2:2019)
Grandeurs et unités - Partie 2: Mathématiques (ISO 80000-2:2019)
Ta slovenski standard je istoveten z: EN ISO 80000-2:2019
ICS:
01.060 Veličine in enote Quantities and units
07.020 Matematika Mathematics
SIST EN ISO 80000-2:2019 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 80000-2:2019

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SIST EN ISO 80000-2:2019


EN ISO 80000-2
EUROPEAN STANDARD

NORME EUROPÉENNE

October 2019
EUROPÄISCHE NORM
ICS 01.060; 01.075 Supersedes EN ISO 80000-2:2013
English Version

Quantities and units - Part 2: Mathematics (ISO 80000-
2:2019, Corrected version 2021-11)
Grandeurs et unités - Partie 2: Mathématiques (ISO Größen und Einheiten - Teil 2: Mathematik (ISO 80000-
80000-2:2019, Version corrigée 2021-11) 2:2019, korrigierte Fassung 2021-11)
This European Standard was approved by CEN on 5 May 2019.

This European Standard was corrected and reissued by the CEN-CENELEC Management Centre on 8 December 2021.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
United Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATIO N

EUROPÄISCHES KOMITEE FÜR NORMUN G

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-2:2019 E
worldwide for CEN national Members.

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SIST EN ISO 80000-2:2019
EN ISO 80000-2:2019 (E)
Contents Page
European foreword . 3

2

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SIST EN ISO 80000-2:2019
EN ISO 80000-2:2019 (E)
European foreword
This document (EN ISO 80000-2:2019) has been prepared by Technical Committee ISO/TC 12
"Quantities and units" in collaboration with Technical Committee CEN/SS F02 “Units and symbols” the
secretariat of which is held by CCMC.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by April 2020, and conflicting national standards shall be
withdrawn at the latest by April 2020.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN ISO 80000-2:2013.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the
United Kingdom.
Endorsement notice
The text of ISO 80000-2:2019, Corrected version 2021-11 has been approved by CEN as EN ISO 80000-
2:2019 without any modification.


3

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SIST EN ISO 80000-2:2019

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SIST EN ISO 80000-2:2019
INTERNATIONAL ISO
STANDARD 80000-2
Second edition
2019-08
Corrected version
2021-11
Quantiti
...

SLOVENSKI STANDARD
SIST EN ISO 80000-2:2019
01-december-2019
Nadomešča:
SIST EN ISO 80000-2:2013
Veličine in enote - 2. del: Matematika (ISO 80000-2:2019)
Quantities and units - Part 2: Mathematics (ISO 80000-2:2019)
Größen und Einheiten - Teil 2: Mathematik (ISO 80000-2:2019)
Grandeurs et unités - Partie 2: Mathématiques (ISO 80000-2:2019)
Ta slovenski standard je istoveten z: EN ISO 80000-2:2019
ICS:
01.060 Veličine in enote Quantities and units
07.020 Matematika Mathematics
SIST EN ISO 80000-2:2019 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

---------------------- Page: 1 ----------------------
SIST EN ISO 80000-2:2019

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SIST EN ISO 80000-2:2019


EN ISO 80000-2
EUROPEAN STANDARD

NORME EUROPÉENNE

October 2019
EUROPÄISCHE NORM
ICS 01.060; 01.075 Supersedes EN ISO 80000-2:2013
English Version

Quantities and units - Part 2: Mathematics (ISO 80000-
2:2019)
Grandeurs et unités - Partie 2: Mathématiques (ISO Größen und Einheiten - Teil 2: Mathematik (ISO 80000-
80000-2:2019) 2:2019)
This European Standard was approved by CEN on 5 May 2019.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
United Kingdom.





EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-2:2019 E
worldwide for CEN national Members.

---------------------- Page: 3 ----------------------
SIST EN ISO 80000-2:2019
EN ISO 80000-2:2019 (E)
Contents Page
European foreword . 3

2

---------------------- Page: 4 ----------------------
SIST EN ISO 80000-2:2019
EN ISO 80000-2:2019 (E)
European foreword
This document (EN ISO 80000-2:2019) has been prepared by Technical Committee ISO/TC 12
"Quantities and units" in collaboration with Technical Committee CEN/SS F02 “Units and symbols” the
secretariat of which is held by CCMC.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by April 2020, and conflicting national standards shall be
withdrawn at the latest by April 2020.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN ISO 80000-2:2013.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the
United Kingdom.
Endorsement notice
The text of ISO 80000-2:2019 has been approved by CEN as EN ISO 80000-2:2019 without any
modification.

3

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SIST EN ISO 80000-2:2019

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SIST EN ISO 80000-2:2019
INTERNATIONAL ISO
STANDARD 80000-2
Second edition
2019-08
Quantities and units —
Part 2:
Mathematics
Grandeurs et unités —
Partie 2: Mathématiques
Reference number
ISO 80000-2:2019(E)
©
ISO 2019

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SIST EN ISO 80000-2:2019
ISO 80000-2:2019(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2019
All rights reserved. Unless otherwise specified, or required in the
...

SLOVENSKI SIST EN ISO 80000-2



STANDARD
december 2019













Veličine in enote – 2. del: Matematika
(ISO 80000-2:2019, popravljena verzija 2021-11)

Quantities and units – Part 2: Mathematics
(ISO 80000-2:2019, corrected version 2021-11)

Größen und Einheiten – Teil 2: Mathematik
(ISO 80000-2:2019, korrigierte Fassung 2021-11)

Grandeurs et unités – Partie 2: Mathématiques
(ISO 80000-2:2019, version corrigée 2021-11)

















Referenčna oznaka
ICS 01.060; 07.020 SIST EN ISO 80000-2:2019 (sl)

       Nadaljevanje na strani II ter od 1 do 47



© 2023-10. Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 80000-2 : 2019
NACIONALNI UVOD

Standard SIST EN ISO 80000-2:2019 (sl), Veličine in enote – 2. del: Matematika (ISO 80000-2:2019,
popravljena verzija 2021-11), ima status slovenskega standarda in je istoveten evropskemu standardu
EN ISO 80000-2:2019 (en), Quantities and units – Part 2: Mathematics (ISO 80000-2:2019, popravljena
verzija 2021-11).

Ta standard nadomešča SIST EN ISO 80000-2:2013 in SIST ISO 80000-2:2013.

NACIONALNI PREDGOVOR

Evropski standard EN ISO 80000-2:2019 je pripravil tehnični odbor ISO/TC 12 "Veličine in enote" v
sodelovanju s tehničnim odborom CEN/SS F02 "Enote in simboli", katerega sekretariat vodi CCMC.

Slovenski standard SIST EN ISO 80000-2:2019 je prevod evropskega standarda EN ISO 80000-2:2019.
V primeru spora glede besedila slovenskega prevoda v tem standardu je odločilen izvirni evropski
standard v angleškem jeziku. Slovensko izdajo standarda je pripravil tehnični odbor SIST/TC TRS
Tehnično risanje, veličine, enote, simboli in grafični simboli.

Odočitev za izdajo tega standarda je 16. 10. 2019 sprejel SIST/TC TRS Tehnično risanje, veličine,
enote, simboli in grafični simboli.

ZVEZA Z NACIONALNIMI STANDARDI

S privzemom tega evropskega standarda, ki je istoveten mednarodnemu standardu, veljajo za omejeni
namen referenčnih standardov vsi standardi, navedeni v izvirniku, razen standardov, ki so že sprejeti v
nacionalno standardizacijo:

SIST EN ISO 80000-1:2023 (en) Veličine in enote – 1. del: Splošno (ISO 80000-1:2022)

PREDHODNA IZDAJA

– SIST ISO 80000-2:2013 (sl), Veličine in enote – 2. del: Matematični znaki in simboli za uporabo v
naravoslovnih vedah in tehniki

OPOMBE

– Povsod, kjer se v besedilu standarda uporablja izraz "evropski standard" ali "mednarodni standard",
v SIST EN ISO 80000-2:2019 to pomeni "slovenski standard".

– Nacionalni uvod in nacionalni predgovor nista sestavni del evropskega standarda.


II

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EVROPSKI STANDARD
EN ISO 80000‐2
EUROPEAN STANDARD


NORME EUROPÉENNE
oktober 2019
EUROPÄISCHE NORM

ICS 01.060; 01.075 Nadomešča EN ISO 80000-2:2013




Slovenska izdaja

Veličine in enote – 2. del: Matematika
(ISO 80000‐2:2019, popravljena verzija 2021‐11)

Quantities and units – Part 2: Grandeurs et unités – Partie 2: Größen und Einheiten – Teil 2:
Mathematics (ISO 80000- Mathématiques (ISO 80000- Mathematik (ISO 80000-2:2019,
2:2019, corrected version 2:2019, version corrigée korrigierte Fassung 2021-11)
2021-11) 2021-11)




Ta evropski standard je CEN sprejel 5. maja 2019.

Upravni center CEN-CENELEC je ta evropski standard popravil in ponovno izdal 8. decembra
2021.

Člani CEN morajo izpolnjevati določila notranjih predpisov CEN/CENELEC, s katerimi je
predpisano, da mora biti ta evropski standard brez kakršnihkoli sprememb sprejet kot
nacionalni standard. Seznami najnovejših izdaj teh nacionalnih standardov in njihovi
bibliografski podatki so na zahtevo na voljo pri Upravnem centru CEN-CENELEC ali
kateremkoli članu CEN.

Ta evropski standard obstaja v treh uradnih izdajah (angleški, francoski in nemški). Izdaje v
drugih jezikih, ki jih člani CEN na lastno odgovornost prevedejo in izdajo ter prijavijo pri
Upravnem centru CEN-CENELEC, veljajo kot uradne izdaje.

Člani CEN so nacionalni organi za standarde Avstrije, Belgije, Bolgarije, Cipra, Češke republike,
Danske, Estonije, Finske, Francije, Grčije, Hrvaške, Irske, Islandije, Italije, Latvije, Litve,
Luksemburga, Madžarske, Malte, Nemčije, Nizozemske, Norveške, Poljske, Portugalske,
Republike Severne Makedonije, Romunije, Slovaške, Slovenije, Srbije, Španije, Švedske, Švice,
Turčije in Združenega kraljestva.






CEN
EVROPSKI ODBOR ZA STANDARDIZACIJO
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG

Upravni center CEN‐CENELEC: Rue de la Science 23, B‐1040 Bruselj

© 2019 CEN Vse pravice do izkoriščanja v kakršnikoli obliki in na Ref. oz. EN ISO 80000-2:2019 E
kakršenkoli način imajo nacionalni člani CEN.

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...

SLOVENSKI STANDARD
oSIST prEN ISO 80000-2:2016
01-oktober-2016
9HOLþLQHLQHQRWHGHO0DWHPDWLND,62',6
Quantities and units - Part 2: Mathematics (ISO/DIS 80000-2:2016)
Größen und Einheiten - Teil 2: Mathematik (ISO/DIS 80000-2:2016)
Grandeurs et unités - Partie 2: Mathématiques (ISO/DIS 80000-2:2016)
Ta slovenski standard je istoveten z: prEN ISO 80000-2
ICS:
01.060 9HOLþLQHLQHQRWH Quantities and units
07.020 Matematika Mathematics
oSIST prEN ISO 80000-2:2016 en,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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oSIST prEN ISO 80000-2:2016

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oSIST prEN ISO 80000-2:2016
DRAFT INTERNATIONAL STANDARD
ISO/DIS 80000-2
ISO/TC 12 Secretariat: SIS
Voting begins on: Voting terminates on:
2016-07-15 2016-10-06
Quantities and units —
Part 2:
Mathematics
Grandeurs et unités —
Partie 2: Mathématiques
ICS: 01.060
ISO/CEN PARALLEL PROCESSING
This draft has been developed within the International Organization for
Standardization (ISO), and processed under the ISO lead mode of collaboration
as defined in the Vienna Agreement.
This draft is hereby submitted to the ISO member bodies and to the CEN member
bodies for a parallel five month enquiry.
THIS DOCUMENT IS A DRAFT CIRCULATED
FOR COMMENT AND APPROVAL. IT IS
THEREFORE SUBJECT TO CHANGE AND MAY
To expedite distribution, this document is circulated as received from the
NOT BE REFERRED TO AS AN INTERNATIONAL
committee secretariat. ISO Central Secretariat work of editing and text
STANDARD UNTIL PUBLISHED AS SUCH.
composition will be undertaken at publication stage.
IN ADDITION TO THEIR EVALUATION AS
BEING ACCEPTABLE FOR INDUSTRIAL,
TECHNOLOGICAL, COMMERCIAL AND
USER PURPOSES, DRAFT INTERNATIONAL This draft is submitted to a parallel vote in ISO and in IEC.
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN
Reference number
NATIONAL REGULATIONS.
ISO/DIS 80000-2:2016(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
©
PROVIDE SUPPORTING DOCUMENTATION. ISO 2016

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oSIST prEN ISO 80000-2:2016
ISO/DIS 80000-2:2016(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2016, Published in Switzerland
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. [phone]
Fax [phone]
[e-mail]
www.iso.org
ii © ISO 2016 – All rights reserved

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oSIST prEN ISO 80000-2:2016
ISO/DIS 80000-2:2016(E)
Contents Page
Foreword . iv
Introduction . vi
1 Scope. 1
2 Normative references . 1
3 Variables, functions and operators . 1
4 Mathematical logic . 3
5 Sets . 4
6 Standard number sets and intervals. 6
7 Miscellaneous symbols. 7
8 Elementary geometry . 9
9 Operations .
...