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linear_approximation [2014/02/20 18:29] nikolaj |
linear_approximation [2014/02/20 18:43] nikolaj old revision restored (2014/02/13 16:13) |
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| * The field $\mathbb C$ is $\mathbb R^2$ as a vector space. So to compute the linear approximation of a function $u(x,y)+i v(x,y)$, where $x,y$ and the functions $u,v$ are real, we must only identify it with the vector field $\langle u(x,y),v(x,y)\rangle$. | * The field $\mathbb C$ is $\mathbb R^2$ as a vector space. So to compute the linear approximation of a function $u(x,y)+i v(x,y)$, where $x,y$ and the functions $u,v$ are real, we must only identify it with the vector field $\langle u(x,y),v(x,y)\rangle$. | ||
| - | There is extensive discussion on this in [[holomorphic function]]. | + | Much more on this in the article [[holomorphic function]]. |
| === Reference === | === Reference === | ||
