Multiplicative distance
In algebraic geometry, is said to be a multiplicative distance function over a field if it satisfies[1]
- AB is congruent to A'B' iff
- AB < A'B' iff
See also
- Algebraic geometry
- Hyperbolic geometry
- Poincaré disc model
- Hilbert's arithmetic of ends
References
- ^ Hartshorne, Robin (2000), Geometry: Euclid and beyond, Undergraduate Texts in Mathematics, New York: Springer-Verlag, p. 363, doi:10.1007/978-0-387-22676-7, ISBN 0-387-98650-2, MR 1761093.
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