Difference between revisions of "Manuals/calci/COMPLEMENT"

Revision as of 13:17, 5 April 2017

COMPLEMENT (B,A)

This function shows the complement of the given sets.
In $COMPLEMENT(B,A)$ , $B$ and $A$ 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 ${\frac {B}{A}}$ , 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.

COMPLEMENT([19,14,17,23,45,89],[89,90,14,45,32,10,1]) = 90 32 10 1
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
COMPLEMENT([67,12,20,56,10,18],[67,12,20,56]) = Null

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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.
 *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==
+#COMPLEMENT([19,14,17,23,45,89],[89,90,14,45,32,10,1]) = 90 32 10 1
+#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
+#COMPLEMENT([67,12,20,56,10,18],[67,12,20,56]) = Null
+==See Also==
+*[[Manuals/calci/COMPLEX | COMPLEX  ]]
+[[Manuals/calci/ISCOMPLEX | ISCOMPLEX  ]]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]
+==References==
+[https://en.wikipedia.org/wiki/Complement_(set_theory) Complement]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]