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I read the following sentence:

Θ is specified by k free parameters.

What does that mean? Does it mean that the dimension of Θ is k? Or anything else? Thank you.

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    $\begingroup$ Could you please tell us the source? Can this article solve your problem? $\endgroup$ Nov 6, 2020 at 12:09
  • $\begingroup$ where did you read it? What's the context?? $\endgroup$ Nov 6, 2020 at 12:22
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    $\begingroup$ Usually--regardless of context--it means $\Theta$ is locally a $k$-dimensional manifold. The "locally" is there, and I haven't specified what kind of manifold (topological, differentiable, Riemannian, etc.), because those technical details vary with the setting. $\endgroup$
    – whuber
    Nov 6, 2020 at 12:36

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