characteristic function
0.0.1 Properties
Suppose are subsets of a set .
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1.
For set intersections and set unions, we have
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2.
For the symmetric difference,
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3.
For the set complement,
0.0.2 Remarks
A synonym for characteristic function is indicator function [1].
References
- 1 G.B. Folland, Real Analysis: Modern Techniques and Their Applications, 2nd ed, John Wiley & Sons, Inc., 1999.
Title | characteristic function |
---|---|
Canonical name | CharacteristicFunction |
Date of creation | 2013-03-22 11:48:31 |
Last modified on | 2013-03-22 11:48:31 |
Owner | bbukh (348) |
Last modified by | bbukh (348) |
Numerical id | 12 |
Author | bbukh (348) |
Entry type | Definition |
Classification | msc 03-00 |
Classification | msc 26-00 |
Classification | msc 26A09 |
Classification | msc 28-00 |
Synonym | indicator function |
Related topic | SimpleFunction |