Ordered Sequence Examples

Each of the functions below recognize the distinction between
ordered sequences and sets.

Two Part Example

A1 B1 C1 Formulas

(1,2,2),(2,1) (2,1),(1,{2,2}) {(1,2,2),(1,{2}),(2,1)} =Union(A1:B1)

{(1,2,2),(1,{2}),(2,1)} =MakeSet(A1:B1)

{(2,1)} =Intersection(A1:B1)

{(1,2,2),(1,{2})} =SymmetricDifference(A1:B1)

{(1,2,2)} =Difference(A1:B1)

{(1,2,2)} =DifferenceRA(A1:B1)

{((1,2,2),1),((1,{2}),2),((2,1),1),((2,1),2)} =DisjointUnion(A1:B1)

{{},{(1,2,2)},{(2,1)},{(1,2,2),(2,1)}} =PowerSet(A1)

A1	B1	C1	Formulas
(1,2,2),(2,1)	(2,1),(1,{2,2})	{(1,2,2),(1,{2}),(2,1)}	=Union(A1:B1)
		{(1,2,2),(1,{2}),(2,1)}	=MakeSet(A1:B1)
		{(2,1)}	=Intersection(A1:B1)
		{(1,2,2),(1,{2})}	=SymmetricDifference(A1:B1)
		{(1,2,2)}	=Difference(A1:B1)
		{(1,2,2)}	=DifferenceRA(A1:B1)
		{((1,2,2),1),((1,{2}),2),((2,1),1),((2,1),2)}	=DisjointUnion(A1:B1)
		{{},{(1,2,2)},{(2,1)},{(1,2,2),(2,1)}}	=PowerSet(A1)

note1: Ordered sequences may contain sets as elements.
note2: Sets may contain Ordered sequences as elements.
note3: Ordered sequences may contain Ordered sequences as elements.
note4: For those of you not familiar with version 1.05,
sets may contain sets as elements.
Features

Created on ... January 02, 2002