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Math Help - distance formula

  1. #1
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    distance formula

    We have to: hyperbolic length of Z2 and Z3 = natural log of [Z1,Z2;Z3,Z4]

    can someone show me how to prove this equation?
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  2. #2
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    Quote Originally Posted by pandakrap View Post
    We have to: hyperbolic length of Z2 and Z3 = natural log of [Z1,Z2;Z3,Z4]

    can someone show me how to prove this equation?
    First, give the definituion of "hyperbolic length".
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  3. #3
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    hyperbolic length is a a map, taking two points in the upper half plane of complex plane to the real number

    A function of pairs of points within a unit circle, where the interior of this circle is a conformal or projective representation of a hyperbolic space
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