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Multiplicative distance : ウィキペディア英語版
Multiplicative distance

In algebraic geometry, \mu is said to be a multiplicative distance function over a field if it satisfies,〔.〕
* \mu(AB)>1.\,
* ''AB'' is congruent to A'B' iff \mu(AB)=\mu(A'B').\,
* ''AB'' < ''A'B''' iff \mu(AB)<\mu(A'B').\,
* \mu(AB+CD)=\mu(AB)\mu(CD).\,
==See also==

*Algebraic geometry
*Hyperbolic geometry
*Poincaré disc model
*Hilbert's arithmetic of ends

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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