1. To adjust the representation of a quantity so that this representation lies within a prescribed range.

2. In particular, to adjust the exponent and mantissa of a floating point number so that the mantissa falls within a prescribed range.

To multiply a quantity by a suitable constant or scalar so that it then has norm one; that is, its norm is then equal to one.

To heat a ferrous alloy to some temperature above the transformation range, followed by air cooling.

To multiply a wave function by a constant so that its norm is equal to unity.

To carry out a normal transformation on a variate.