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Topic: Question about linear algebra matrix p-norm
Replies: 6   Last Post: Jan 9, 2013 2:42 AM

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Posts: 12,067
Registered: 7/15/05
Re: Question about linear algebra matrix p-norm
Posted: Jan 9, 2013 2:42 AM
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"rrr" wrote:

>I do not understand the symbol \{0}.
>Could you explain it to me?
>Consider the function f: (R^n)\{0} -> R defined by

If A,B are sets, A\B = {a in A | a not in B}.

A\B is called the relative complement of B in A since
it's the set of elements not in B, relative to a universe
of A.

The operation (A,B) -> A\B is called set subtraction, and
a common alternate notation for A\B is A-B.

Thus, regarding the elements of R^n as vectors, (R^n)\{0}
denotes the set of vectors in R^n other than the zero vector.


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