Difference between revisions of "Additivity"
From Encyclopedia of Mathematics
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The property of magnitudes that can be defined as follows. The value of a magnitude corresponding to a whole object is equal to the sum of the values of the magnitudes corresponding to its parts for any division of the object into parts. For instance, additivity of volume means that the volume of a whole object is equal to the sum of the volumes of its constituent parts. Cf. [[Additive function|Additive function]]; [[Countably-additive set function|Countably-additive set function]]. | The property of magnitudes that can be defined as follows. The value of a magnitude corresponding to a whole object is equal to the sum of the values of the magnitudes corresponding to its parts for any division of the object into parts. For instance, additivity of volume means that the volume of a whole object is equal to the sum of the volumes of its constituent parts. Cf. [[Additive function|Additive function]]; [[Countably-additive set function|Countably-additive set function]]. | ||
Latest revision as of 14:22, 23 September 2012
2020 Mathematics Subject Classification: Primary: 28A [MSN][ZBL]
The property of magnitudes that can be defined as follows. The value of a magnitude corresponding to a whole object is equal to the sum of the values of the magnitudes corresponding to its parts for any division of the object into parts. For instance, additivity of volume means that the volume of a whole object is equal to the sum of the volumes of its constituent parts. Cf. Additive function; Countably-additive set function.
How to Cite This Entry:
Additivity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Additivity&oldid=15418
Additivity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Additivity&oldid=15418