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I see these terms floating around my textbook, but I haven't much intuitive into what they actually are. Can someone explain them and perhaps offer an example to solidify the concept?

Thank you!

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Something is isolated if there aren't any others nearby. Specifically, a critical point is isolated if there is a neighborhood of that point which contains no other critical points. As for "almost linear", you should post how your textbook uses the term, since in my experience it's not strictly defined. – Antonio Vargas Dec 9 '12 at 1:32

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