Difference between revisions of "Strong derivative/Infobox"
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{{Infobox | {{Infobox | ||
|title=Strong derivative | |title=Strong derivative | ||
| − | |above=<span style="font-size:1.25em;">{{MM|1=\lim_{h\rightarrow 0}\left(\frac{ | + | |above=<span style="font-size:1.25em;">{{MM|1=\lim_{h\rightarrow 0}\left(\frac{f(x_0+h)-f(x_0)}{\Vert h\Vert_X}\right)=\overbrace{L_{x_0}:X\rightarrow Y}^\text{Linear} }}</span><br/>For two [[normed space|normed spaces]] {{M|(X,\Vert\cdot\Vert_X)}} and {{M|(Y,\Vert\cdot\Vert_Y)}} and a [[mapping]] {{M|T:U\rightarrow Y}} for {{M|U}} some [[open set]] in {{M|X}} |
}}<noinclude> | }}<noinclude> | ||
{{Stub page|This is just a stub, CHECK THE INFOBOX DEFINITION IS VALID}} | {{Stub page|This is just a stub, CHECK THE INFOBOX DEFINITION IS VALID}} | ||
[[Category:Infoboxes]] | [[Category:Infoboxes]] | ||
</noinclude> | </noinclude> | ||
Revision as of 10:55, 11 March 2016
| Strong derivative | |
| [math]\lim_{h\rightarrow 0}\left(\frac{f(x_0+h)-f(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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