Let be y=f(x) a differentiable function, my question is if we can define a basis on R^3 at every point using [tex] \partial _{x}^{n} [/tex] n=0,1,2(adsbygoogle = window.adsbygoogle || []).push({});

For arbitrary 'n' even real numbers could be the same be defined using the fractional derivative to justify [tex] \partial _{x} ^{n} y(x) [/tex]

So in every case the Wrosnkian is different from 0 except at several points, with this a possible purpose would be constructing a basis for a fractional-dimensional space to perform integration over R^{n} n being (positive) integer or real.

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# Basis on R^3

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