# L0 Norm, L1 Norm, L2 Norm & L-Infinity Norm | by Sara Iris Garcia

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15 ## On this Article we offer you detailed Info on L0 Norm, L1 Norm, L2 Norm & L-Infinity Norm | by Sara Iris Garcia :

listed here are alternative ways to measure the magnitude of vectors, listed here are the most typical:

## L0 Norm:

It’s really not a norm. (See the circumstances a norm should fulfill right here). Corresponds to the overall variety of nonzero parts in a vector.

For instance, the L0 norm of the vectors (0,0) and (0,2) is 1 as a result of there is just one nonzero component.

sensible instance of L0 norm is the one that provides Nishant Shukla, when having two vectors (username and password). If the L0 norm of the vectors is the same as 0, then the login is profitable. In any other case, if the L0 norm is 1, it implies that both the username or password is inaccurate, however not each. And lastly, if the L0 norm is 2, it implies that each username and password are incorrect.

## L1 norm:

Often known as Manhattan Distance or Taxicab norm. L1 Norm is the sum of the magnitudes of the vectors in an area. It’s the most pure manner of measure distance between vectors, that’s the sum of absolute distinction of the parts of the vectors. On this norm, all of the parts of the vector are weighted equally.

Having, for instance, the vector X = [3,4]: