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ISO 80000-2:2019 - Quantities and units — Part 2: Mathematics



ISO 80000 or IEC 80000 is an international standard introducing the International System of Quantities (ISQ). It was developed and promulgated jointly by the International Organization for Standardization (ISO) and the International Electrotechnical Commission (IEC).




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As of 2021[update], ISO/IEC 80000 comprises 13 parts, two of which (parts 6 and 13) were developed by IEC and the remaining 11 were developed by ISO, with a further three parts (15, 16 and 17) under development. Part 14 was withdrawn.


ISO 80000-1:2009 replaces ISO 31-0:1992 and ISO 1000:1992.[21]It gives general information and definitions concerning quantities, systems of quantities, units, quantity and unit symbols, and coherent unit systems, especially the International System of Quantities (ISQ) and the International System of Units (SI).[2]The text of the informative sections of this document is publicly available.[21]


ISO 80000-2:2019 revises ISO 80000-2:2009,[3] which superseded ISO 31-11.[22]It specifies mathematical symbols, explains their meanings, and gives verbal equivalents and applications.The text of the informative sections of this document is publicly available.[23]


ISO 80000-3:2019 revises ISO 80000-3:2006,[4] which supersedes ISO 31-1 and ISO 31-2.[24]It gives names, symbols, definitions and units for quantities of space and time.The text of this document is publicly available.[25]


ISO 80000-4:2019 revises ISO 80000-4:2006,[5] which superseded ISO 31-3.[26]It gives names, symbols, definitions and units for quantities of mechanics.The text of this document is publicly available.[27]


ISO 80000-5:2019 revises ISO 80000-5:2007,[6] which superseded ISO 31-4.[28]It gives names, symbols, definitions and units for quantities of thermodynamics.The text of this document is publicly available.[29]


IEC 80000-6:2022 revises IEC 80000-6:2008,[7] which superseded ISO 31-5[30] as well as IEC 60027-1.It gives names, symbols, and definitions for quantities and units of electromagnetism.The text of the informative sections of this document is publicly available.[31]


ISO 80000-7:2019 revises ISO 80000-7:2008,[8] which superseded ISO 31-6.[32]It gives names, symbols, definitions and units for quantities used for light and optical radiation in the wavelength range of approximately 1 nm to 1 mm.The text of this document is publicly available.[33]


ISO 80000-8:2020 revises ISO 80000-8:2007,[34] which revised ISO 31-7:1992.[35]It gives names, symbols, definitions and units for quantities of acoustics.The text of the informative sections of this document are publicly available.[36]


IEC 80000-13:2008 was reviewed and confirmed in 2022 and published in 2008, and replaces subclauses 3.8 and 3.9 of IEC 60027-2:2005 and IEC 60027-3.[14]It defines quantities and units used in information science, and specifies names and symbols for these quantities and units. It has a scope; normative references; names, definitions and symbols; and prefixes for binary multiples.


Part 1 of ISO 80000 introduces the International System of Quantities and describes its relationship with the International System of Units (SI). Specifically, its introduction states "The system of quantities, including the relations among the quantities used as the basis of the units of the SI, is named the International System of Quantities, denoted 'ISQ', in all languages." It further clarifies that "ISQ is simply a convenient notation to assign to the essentially infinite and continually evolving and expanding system of quantities and equations on which all of modern science and technology rests. ISQ is a shorthand notation for the 'system of quantities on which the SI is based'."


The standard includes all SI prefixes as well as the binary prefixes kibi-, mebi-, gibi-, etc., originally introduced by the International Electrotechnical Commission to standardise binary multiples of byte such as mebibyte (MiB), for 10242 bytes, to distinguish them from their decimal counterparts such as megabyte (MB), for precisely one million (10002) bytes. In the standard, the application of the binary prefixes is not limited to units of information storage. For example, a frequency ten octaves above one hertz, i.e., 210 Hz (1024 Hz), is one kibihertz (1 KiHz).[37] These binary prefixes were standardized first in a 1999 addendum to IEC 60027-2.The harmonized IEC 80000-13:2008 standard cancels and replaces subclauses 3.8 and 3.9 of IEC 60027-2:2005, which had defined the prefixes for binary multiples. The only significant change in IEC 80000-13 is the addition of explicit definitions for some quantities. 2ff7e9595c


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