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determinant_differentiation [2016/07/21 00:59] nikolaj |
determinant_differentiation [2016/07/21 01:00] 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. | ||
