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sorry for my english, I need to know, that, given a set of points x, y in a M x N cartesian system, how can I calculate the same set of point in another system I x J, being M > I and N > J? Is this possible? If it is, which is the name of the method?

Example:

Being a plane with 100 units of width and 150 units of height, and a set of point A= {(30, 20), (78, 56), (56, 18)}, is there a method that given a plane of 20 x 60, get a set of points equivalent with A in this second plane?

Thanks and sorry about my english.

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    Scale the x-coordinates by I/M and the y-coordinates by J/N...2011-07-27
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    I don't know if this is overkill, but the general method would be one of switcjing between charts on a manifold ;the manifold here being $\mathbb R^2 $ itself2011-07-27
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    @gary How come? Sorry, I'm not a mathematician, could you please, be more especific?2011-07-27
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    Look at parts 7,9 here: http://en.wikipedia.org/wiki/Coordinate_systemand I'll get back to you with an answer. Basically, a coordinate is a way of expressing points in a space called a manifold in relation to $\mathbb R^n$. For example, points in the sphere can be given coordinates, in a way that makes points in the sphere have , locally, properties similar to those of the plane $\mathbb R^2$2011-07-27
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    Cheluis: I'm sorry, the answer is kind of involved, and I'm kind of rushed at the moment. Hopefully, I will have more time later for a better answer.2011-07-27
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    @gary hey, don't worry, I gave a look at the link that you posted and there's the answer, if you post it like an answer I'll accept it. Thanks a lot2011-07-27

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