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symmdiff

set symmetric difference

 Calling Sequence symmdiff(s1, s2, s3,...)

Parameters

 s1, s2, s3, ... - sets or expressions

Description

 • The procedure symmdiff is used for the set symmetric difference operator, which is defined by symmdiff(a,b)=(a union b) minus (a intersect b), for two arguments and associates to the left for more arguments.

Examples

 > $\mathrm{symmdiff}\left(\left\{a\right\},\left\{b\right\}\right)$
 $\left\{{a}{,}{b}\right\}$ (1)
 > $\mathrm{symmdiff}\left(\left\{a,b\right\},\left\{b,c\right\}\right)$
 $\left\{{a}{,}{c}\right\}$ (2)
 > $\mathrm{symmdiff}\left(\left\{a,b\right\},\left\{a,b\right\}\right)$
 ${\varnothing }$ (3)
 > $\mathrm{symmdiff}\left(\left\{1,2,3,4\right\},\left\{2,4,5,6\right\},\left\{3,4,5,7\right\}\right)$
 $\left\{{1}{,}{4}{,}{6}{,}{7}\right\}$ (4)
 > $\mathrm{symmdiff}\left(\left\{1,2,3,4\right\},\left\{2,4,5,6\right\}\right)$
 $\left\{{1}{,}{3}{,}{5}{,}{6}\right\}$ (5)
 > $\mathrm{symmdiff}\left(\left\{1,3,5,6\right\},\left\{3,4,5,7\right\}\right)$
 $\left\{{1}{,}{4}{,}{6}{,}{7}\right\}$ (6)
 > $\mathrm{symmdiff}\left(\left\{1,3,4,5\right\},\left\{3,5\right\},\left\{2,4,5\right\},\left\{3,4,5\right\},\left\{2,4,5\right\}\right)$
 $\left\{{1}{,}{3}{,}{5}\right\}$ (7)