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frechet_derivative_chain_rule [2013/09/15 20:11] nikolaj old revision restored (2013/09/15 19:25) |
frechet_derivative_chain_rule [2013/09/15 20:13] nikolaj |
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| | @#88DDEE: $G\in C(Y,Z)$ | | | @#88DDEE: $G\in C(Y,Z)$ | | ||
| - | | @#55EE55: $ D(G\circ F)=((DG)\circ F)\ \hat\cdot\ DF $ | | + | | @#55EE55: $ D(G\circ F)=(DG)\circ F\ \cdot\ DF $ | |
| - | where $\circ$ denotes the concatenation of functions and $\cdot$ that of linear operators. | + | where $\circ$ denotes the concatenation of functions of $X,Y$, which is taken to bind stronger than the concatenation $\cdot$ of linear operators. |
| ==== Discussion ==== | ==== Discussion ==== | ||
