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Set Difference -- from Wolfram MathWorld

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Set Difference

The set difference is defined by

Here, the backslash symbol is defined as Unicode U+2216.

The set difference is therefore equivalent to the complement set, and is implemented in the Wolfram Language as Complement[A, B].

The symbol is sometimes also used to denote a set difference (Smith et al. 1997, p. 68).

See alsoBackslash

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Complement Set

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Difference Set

,

Symmetric Difference Explore with Wolfram|Alpha ReferencesCroft, H. T.; Falconer, K. J.; and Guy, R. K. Unsolved Problems in Geometry. New York: Springer-Verlag, p. 2, 1991.Harris, J. W. and Stocker, H. Handbook of Mathematics and Computational Science. New York: Springer-Verlag, p. 3, 1998.Smith, D.; Eggen, M.; and St. Andre, R. A Transition to Advanced Mathematics, 4th ed. New York: Brooks/Cole, 1997. Referenced on Wolfram|AlphaSet Difference Cite this as:

Weisstein, Eric W. "Set Difference." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SetDifference.html

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