History of MappinG

	Revision 4 . . (edit) January 29, 2001 9:03 am by JoshuaGrosse
	Revision 3 . . (edit) January 29, 2001 8:57 am by JoshuaGrosse
	Revision 2 . . January 29, 2001 8:22 am by RoseParks
	Revision 1 . . January 29, 2001 8:18 am by RoseParks

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Difference (from prior major revision) (minor diff, author diff)

Changed: 1c1

A MappinG is simply a “rule” that assigns to each member of a Set A, a unique element of a set B.

A MappinG is simply a "rule" that assigns to each member of a SeT A, a unique element of a SeT B.

Changed: 3c3

There are non-mathematical MappinGs?. Consider the “rule,” WGT that assigns to every living human being in United States their weight in pounds. Then the set A = {people living in the United States} and B = {x: 0<x<=1000}. For example:

There are non-mathematical MappinGs. Consider the “rule,” WGT that assigns to every living human being in United States their weight in pounds. Then the set A = {people living in the United States} and B = {x: 0<x<=1000}. For example:

Changed: 12c12

There are mathematical MappinGs? as well. Consider the “rule,” ABS that assigns to each integer, its absolute value. Let set C = I, and the set D = I, also. Then, for example:

There are mathematical MappinGs as well. Consider the “rule,” ABS that assigns to each integer, its absolute value. Let set C = I, and the set D = I, also. Then, for example:

Changed: 21c21

There are 4 basic kinds of MappinGs?.

There are 4 basic kinds of MappinGs.

Changed: 43,48c43

In terms of formal SetTheory, a Mapping from X to Y is usually defined as a MathematicalRelation where each x in X is related to one, and only one, element of Y. This element is the image of x. However, there are lots of other equivalent definitions.