Difference between revisions of "Strong derivative/Infobox"
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(Created page with "{{Infobox |title=Strong derivative |above=<span style="font-size:1.25em;">{{MM|1=\lim_{h\rightarrow 0}\left(\frac{T(x_0+h)-T(x_0)}{\Vert h\Vert_X}\right)=\overbrace{L_{x_0}:X\...") |
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Revision as of 10:40, 11 March 2016
| Strong derivative | |
| [math]\lim_{h\rightarrow 0}\left(\frac{T(x_0+h)-T(x_0)}{\Vert h\Vert_X}\right)=\overbrace{L_{x_0}:X\rightarrow Y}^\text{Linear}[/math] For two normed spaces [ilmath](X,\Vert\cdot\Vert_X)[/ilmath] and [ilmath](Y,\Vert\cdot\Vert_Y)[/ilmath] and a mapping [ilmath]T:U\rightarrow Y[/ilmath] for [ilmath]U[/ilmath] some open set in [ilmath]X[/ilmath] |
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