Waves and mathematical physics

Normalisation

Scaling a mathematical state so that its total norm or probability satisfies a required convention, commonly one.

Common notation Σ|aᵢ|²=1

In one sentence

What does Normalisation mean?

Scaling a mathematical state so that its total norm or probability satisfies a required convention, commonly one.

How it is written

Σ|aᵢ|²=1

A compact example

Amplitudes 3 and 4 normalise to 3/5 and 4/5.

Other names and search terms

normalization.

Clear answers

Questions about Normalisation

What does Normalisation mean in mathematics?

Scaling a mathematical state so that its total norm or probability satisfies a required convention, commonly one.

How is Normalisation written?

A common notation is Σ|aᵢ|²=1.

What is an example of Normalisation?

Amplitudes 3 and 4 normalise to 3/5 and 4/5.