# Differences

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 linear_approximation [2014/03/21 11:11]127.0.0.1 external edit linear_approximation [2014/04/11 16:42] (current)nikolaj Both sides previous revision Previous revision 2014/04/11 16:42 nikolaj 2014/03/21 11:11 external edit2014/02/20 18:43 nikolaj old revision restored (2014/02/13 16:13)2014/02/20 18:29 nikolaj 2014/02/13 16:13 external edit2014/02/01 16:21 nikolaj 2014/02/01 16:00 nikolaj 2014/01/31 17:08 nikolaj 2014/01/31 17:03 nikolaj 2014/01/31 16:50 nikolaj 2014/01/31 16:45 nikolaj 2014/01/31 16:45 nikolaj created 2014/04/11 16:42 nikolaj 2014/03/21 11:11 external edit2014/02/20 18:43 nikolaj old revision restored (2014/02/13 16:13)2014/02/20 18:29 nikolaj 2014/02/13 16:13 external edit2014/02/01 16:21 nikolaj 2014/02/01 16:00 nikolaj 2014/01/31 17:08 nikolaj 2014/01/31 17:03 nikolaj 2014/01/31 16:50 nikolaj 2014/01/31 16:45 nikolaj 2014/01/31 16:45 nikolaj created Line 5: Line 5: | @#55CCEE: context ​    | @#55CCEE: $x\in\mathcal O$ | | @#55CCEE: context ​    | @#55CCEE: $x\in\mathcal O$ | | @#55CCEE: context ​    | @#55CCEE: $f:\mathcal O\to Y$ | | @#55CCEE: context ​    | @#55CCEE: $f:\mathcal O\to Y$ | - | @#FFBB00: definiendum | @#FFBB00: $J_x^f$ | | @#FFBB00: definiendum | @#FFBB00: $J_x^f$ | - | @#55EE55: postulate ​  | @#55EE55: $J_x^f$ ... bounded linear operator from $X$ to $Y$ | | @#55EE55: postulate ​  | @#55EE55: $J_x^f$ ... bounded linear operator from $X$ to $Y$ | | @#55EE55: postulate ​  | @#55EE55: $\mathrm{lim}_{h\to 0}\ \Vert f(x+h)-f(x)-J_x^f(h)\Vert / \Vert h\Vert\ =\ 0$ | | @#55EE55: postulate ​  | @#55EE55: $\mathrm{lim}_{h\to 0}\ \Vert f(x+h)-f(x)-J_x^f(h)\Vert / \Vert h\Vert\ =\ 0$ |