Revision as of 19:29, 29 August 2008 edit JAnDbot (talk \| contribs) Bots 159,117 edits m robot Adding: et:Invariant ← Previous edit		Revision as of 22:56, 11 September 2008 edit undo Alexb@cut-the-knot.com (talk \| contribs) 214 edits Have inserted the most fundamental case of invariance - that of counting, and added an external link Next edit →
Line 15: ==Examples== The most fundamental example of invariance is expressed in our ability to count. For a finite collection of objects of any kind, there appears to be a number to which we invariably arrive regardless of how we count the objects in the set. The quantity - a [[cardinal number]] - is associated with the set and is invariant under the process of counting. One simple example of invariance is that the distance between two points on a [[number line]] is not changed by [[addition\|adding]] the same quantity ▼ ~~to both numbers. On the other hand [[multiplication]] does not have this property so distance is not invariant under multiplication.~~ ▲~~One~~Another simple example of invariance is that the [[distance]] between two points on a [[number line]] is not changed by [[addition\|adding]] the same quantity to both numbers. On the other hand [[multiplication]] does not have this property so distance is not invariant under multiplication. Some more complicated examples: Line 39 ⟶ 40: * [[Symmetry in mathematics]] * [[topological invariant]] ==External links== * [http://www.cut-the-knot.org/ForYoung/Davids1.shtml Let them count] from [[cut-the-knot]] [[Category:Mathematical terminology]]

Invariant (mathematics): Difference between revisions