Editing Hyperbolic coordinates (section)

==Economic applications==
There are many natural applications of hyperbolic coordinates in [[economics]]:
* Analysis of currency [[exchange rate]] fluctuation:{{pb}}The unit currency sets <math>x = 1</math>. The price currency corresponds to <math>y</math>. For <math display="block">0 < y < 1</math> we find <math>u > 0</math>, a positive hyperbolic angle. For a ''fluctuation'' take a new price <math display="block">0 < z < y.</math> Then the change in ''u'' is: <math display="block">\Delta u = \ln \sqrt{\frac{y}{z}}. </math> Quantifying exchange rate fluctuation through hyperbolic angle provides an objective, symmetric, and consistent [[measure (mathematics)|measure]]. The quantity <math>\Delta u</math> is the length of the left-right shift in the hyperbolic motion view of the currency fluctuation.
* Analysis of inflation or deflation of prices of a [[basket of consumer goods]].
* Quantification of change in marketshare in [[duopoly]].
* Corporate [[stock split]]s versus stock buy-back.