Difference between revisions of "Manuals/calci/COMPLEMENT"

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complement
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<div style="font-size:30px">'''COMPLEMENT (B,A) '''</div><br/>
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*<math>B</math> and <math>A</math> are any two sets.
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==Description==
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*This function shows the complement of the given sets.
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*In <math>COMPLEMENT (B,A)</math>, <math>B</math> and <math>A</math> are two sets.
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*In Set theory,the complement of a set A refers to elements not in A and which will be in the set B(Universal set).
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*So complement os A is defined by:The relative complement of A with respect to a set B, also termed the difference of sets A and B, written <math>\frac{B}{A}</math>, is the set of elements in B but not in A.
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*When all sets under consideration are considered to be subsets of a given set U(Universal Set), the absolute complement of A is the set of elements in U but not in A.
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==Examples==
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#COMPLEMENT([19,14,17,23,45,89],[89,90,14,45,32,10,1]) = 90 32 10 1
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#COMPLEMENT([1,2,3,4,5,6,7,8,9,10],[8,9,10,11,12,13,14,15,16]) = 11  12 13 14 15 16
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#COMPLEMENT([67,12,20,56,10,18],[67,12,20,56]) = Null
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==Related Videos==
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{{#ev:youtube|v=2B4EBvVvf9w|280|center|Complement}}
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==See Also==
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*[[Manuals/calci/COMPLEX | COMPLEX  ]]
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*[[Manuals/calci/COMPLEXNUM | COMPLEXNUM  ]]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]
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==References==
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[https://en.wikipedia.org/wiki/Complement_(set_theory) Complement]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 15:17, 11 December 2018

COMPLEMENT (B,A)


  • and are any two sets.

Description

  • This function shows the complement of the given sets.
  • In , and are two sets.
  • In Set theory,the complement of a set A refers to elements not in A and which will be in the set B(Universal set).
  • So complement os A is defined by:The relative complement of A with respect to a set B, also termed the difference of sets A and B, written , is the set of elements in B but not in A.
  • When all sets under consideration are considered to be subsets of a given set U(Universal Set), the absolute complement of A is the set of elements in U but not in A.

Examples

  1. COMPLEMENT([19,14,17,23,45,89],[89,90,14,45,32,10,1]) = 90 32 10 1
  2. COMPLEMENT([1,2,3,4,5,6,7,8,9,10],[8,9,10,11,12,13,14,15,16]) = 11 12 13 14 15 16
  3. COMPLEMENT([67,12,20,56,10,18],[67,12,20,56]) = Null

Related Videos

Complement

See Also

References

Complement