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- Thread starter penelope
- Start date
A "metric" of a set is the distance between two members. If there are only two members in the set, there is a single metric.Find all the metrics on set M consisting of two points.
HallsofIvy
Elite Member
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- Jan 27, 2012
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I would interpret "metric" to mean a distance "function". In that case, there are an infinite number of "metrics", although they are all "equivalent": Calling the two points "x" and "y", define d(x,y)= r where r can be any positive number.
Penelopecan u explain in more details please
Part of the problem in answering you is that we know nothing about you. Are you in graduate school or in 3rd grade? The answer that is right for one situation is not right for another.
Another part of the problem is that we do not know what class you are taking. Nor do we know what definition of "metric" your book or class materials tell you to use. Do you see that DrPhil and HOI both are trying to guess what "metric" means for your particular problem?
Finally, we cannot be sure that we have the complete problem statement.
Our ability to help is extremely limited if we do not know your level of mathematical education, your grade level, the course you are taking, and the exact problem statement and definition of "metric" that you are supposed to use.
Edit: There is an art to asking good questions, by which I mean questions that will lead quickly to pertinent and clear answers. Part of that art is remembering that people who know you need less relevant information than those who do not. Incomplete questions lead to vague or misleading answers.
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