Set subtraction

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Revision as of 16:14, 28 August 2015 by Alec (Talk | contribs) (Created page with "==Definition== Given two sets, {{M|A}} and {{M|B}} we define ''set subtraction'' as follows: * {{M|1=A-B=\{x\in A\vert x\notin B\} }} ==Other names== * Relative complement **...")

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Definition

Given two sets, A and B we define set subtraction as follows:

  • AB={xA|xB}

Other names

  • Relative complement
    • This comes from the fact that the complement of a subset of X, A is just XA

Notations

Other notations include:

  • AB

Expressions that are equal to set subtraction

[Expand]

  • AB=(AcB)c

See also

References



TODO: Find references