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Could anyone give me a simple example on how to graph a function S each of the following normed linear spaces

i) R^2 with the taxi cab norm

ii) R^2 with the sup norm

iii) (R^2,|| ||) where x=(x_1,x_2) for some ||x|| is some linear function of x_1 and x_2

In other words, to give a a sample function S in [itex]\mathbb{N}[/itex] so I can try to plot the above 3 request?

Thanks

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# Graphing a function in a Normed linear space

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