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What is the meaning of a commutative diagram in mathematics?

For example, if a map translate an object, then rotate it around the origin and then translate it again, is this a commutative diagram?

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    It is a diagrammatic expression of morphisms (kinda like functions) depicting different "paths" from some initial object to some final object, such that the end result doesn't depend on which path you take. See [Wikipedia](http://en.wikipedia.org/wiki/Commutative_diagram).2012-07-05
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    @Willie: This is an answer, not a comment.2012-07-05
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    @Martin: I'm afraid that people who truly understood that comment probably already know what a commutative diagram is; to be an answer I would have to explain a lot more. I think there are more qualified people than I for that endeavour. It would, however, help if the original poster can explain a little bit what his/her mathematical background is. This is one of those kind of things that it is possible to give a simple rough overview as well as an in depth technical discussion.2012-07-05

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