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There is a term "a set of generalized coordinates" in physics that is used to describe a system. But for some simple systems, the set contains just one generalized coordinate. Can we say, for example, "we define {x} as a set of generalized coordinates"?

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    I can't see any other way to say it. – Colin Fine Sep 24 '14 at 17:06
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My suggestion:

"We define {x} as a set consisting of one generalized coordinate."

  • This formulation would lead me to expect that there is a larger set of generalized coordinates, form which just one $x$ has been chosen for membership in your set. So I agree with @Colin Fine that the formulation in the question is better. – Andreas Blass Oct 24 '14 at 22:13

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