Math Is Fun Forum

{7/3}

Member

Registered: 2013-02-11

Posts: 210

P-norm

The p-norm of a vector(in 2d) is (|x|^p+|y|^p)^(1/p) my question is can p be 0,fraction or nagetive?

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There are 10 kinds of people in the world,people who understand binary and people who don't.

zetafunc.

Guest

Re: P-norm

If I recall correctly, p can be any real number apart from 0.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: P-norm

Actually, p must be a real number greater or equal to 1.

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: P-norm

Why isn't nagetive number or fractions<1 allowed?

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There are 10 kinds of people in the world,people who understand binary and people who don't.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: P-norm

Because it wouldn't be a norm (it would give zero values if any of the coordinates is 0).

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: P-norm

Oh,thanks.

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There are 10 kinds of people in the world,people who understand binary and people who don't.