Difference between kernel f and isotrope vectors

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kthouz
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i have a problem in differenciating kernel f and isotrope vectors,if someone could explain me,...
 

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The "kernel" of f is the set of vectors x such that f(x)= 0. But I have no idea what you mean by "isotrope" vectors. I tried googling on it and got "isotropic" vectors instead- which have to do with quantum mechanics.
 

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