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determinant_differentiation [2016/07/21 00:59]
nikolaj
determinant_differentiation [2016/07/21 01:00] (current)
nikolaj
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 which you get for which you get for
  
-$F(t) := \mathrm{diag}(a(t),​b(t))$+$F(t) := \mathrm{diag}(a(t),​b(t))$,
  
-which can be seen to represent ​the growing ​area of a rectangle.+which can be seen $a(t)\cdot b(t)=\det\,​F(t)$ representing ​the changing ​area of a rectangle.
  
 The expression $\dfrac{1}{a}{\mathrm d}a$ is the so called logarithmic derivative of $a$ and scale invariant. The expression $\dfrac{1}{a}{\mathrm d}a$ is the so called logarithmic derivative of $a$ and scale invariant.
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