Title: cumulative number-distribution function Long Title: IUPAC Gold Book - cumulative number-distribution function DOI: 10.1351/goldbook.12222 Status: current Definition Cumulative distribution function in which the relative amount of a portion of a substance with values of the random variable or variables less than or equal to a given value or given values is expressed in terms of mole fraction. Source - PAC, 2015, 87, 71. 'Definitions of terms relating to individual macromolecules, macromolecular assemblies, polymer solutions, and amorphous bulk polymers (IUPAC Recommendations 2014)' on page 86 (https://doi.org/10.1515/pac-2013-0201) Other Outputs - html: https://goldbook.iupac.org/terms/view/12222/html - json: https://goldbook.iupac.org/terms/view/12222/json - xml: https://goldbook.iupac.org/terms/view/12222/xml Citation: Citation: 'cumulative number-distribution function' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.12222 License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) for individual terms. Collection: If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . Disclaimer: The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using. Accessed: 2026-05-09T01:47:57+00:00