Differences

This shows you the differences between two versions of the page.

--- frechet_derivative [2014/01/31 11:59]
nikolaj
+++ frechet_derivative [2016/12/29 16:31]
nikolaj
@@ Line 1: / Line 1: @@
 ===== Fréchet derivative =====
 ==== Set ====
-| @#88DDEE: $X,Y$ ... Banach spaces with topology |
+| @#55CCEE: context     | @#55CCEE: $X,Y$ ... Banach spaces with topology |
-| @#88DDEE: $\mathcal O$ ... open in $X$ |
+| @#55CCEE: context     | @#55CCEE: $\mathcal O$ ... open in $X$ |
+| @#FFBB00: definiendum | @#FFBB00: $D:\mathrm{Continuous}(\mathcal O,Y)\to \mathrm{Continuous}(\mathcal O,\mathrm{BoundedLinOp}(X,Y))$ |
+| @#FFBB00: definiendum | @#FFBB00: $Df:=x\mapsto J_x^f$ |
-| @#FFBB00: $D:\mathrm{Continuous}(\mathcal O,Y)\to \mathrm{Continuous}(\mathcal O,\mathrm{BoundedLinOp}(X,Y))$ |
+For $J_x f$, see [[Linear approximation]].
-| @#FFBB00: $Df:=x\mapsto L_x^f$ |
-For $L_x f$, see [[Fréchet derivative at a point]].
 ==== Discussion ====
-This defintion does nothing more than emphasizing the functionality of $L_x^f$ in $f$.
+This definition does nothing more than emphasizing the functionality of $L_x^f$ in $f$.
 === Reference ===
 Wikipedia: [[http://en.wikipedia.org/wiki/Derivative_of_a_function|Derivative of a function]], [[http://en.wikipedia.org/wiki/Fr%C3%A9chet_derivative|Fréchet derivative]]
 ==== Parents ====
-=== Requirements ===
+=== Context ===
-[[Fréchet derivative at a point]]
+[[Linear approximation]]