Talk:Active and passive transformation

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[edit] Introduction

This article should be change, because the introductory sentence: "In the physical sciences, an active transformation is one which actually changes the physical state of a system and makes sense even in the absence of a coordinate system... ." is not clear. If author means "transformation" of coordinate system in physica (which seems likely from his text below)it's not correct. The change of coordinate systems never change the "physical state". If he means "change" of physical system, it should be expain in details (thermodynamics? mechanics?), otherwise it looks completely unclear. There is no any physical example.

[edit] Covariance and contravariance

Is this an accurate statement?: "Under active transformation, the components of vectors transform covariantly when the same basis is used. Under passive transformation, the basis transforms covariantly and so the components of vectors transform contravariantly so the vectors remain unchanged." —Ben FrantzDale 13:55, 11 May 2007 (UTC)