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What is mathematical normalization? Can you give me a specific example?
There are two forms of normalization method, one is to change numbers into decimals between (0, 1), and the other is to change dimensional expressions into dimensionless expressions. Mainly for the convenience of data processing. It is convenient and quick to map data to the range of 0 ~ 1, which should belong to the category of digital signal processing.

Example: {2.5 3.5 0.5 1.5} becomes {0.3125 0.4375 0.0625 0.1875} after normalization.

Solution: 2.5+3.5+0.5+ 1.5=8,

2.5/8=0.3 125,

3.5/8=0.4375,

0.5/8=0.0625,

1.5/8=0. 1875.

This normalization is to change the sum in brackets to 1. Then write down the proportion of each number.

Information on capital expansion:

Normalization is a way to simplify calculation, that is, a dimensional expression is transformed into a dimensionless expression and becomes a scalar.

For example, the complex impedance can be written in a normalized way: Z = R+jωL = R( 1+jωL/R), and the complex part becomes a scalar without dimension.

In addition, many operations in microwave, such as circuit analysis, signal system and electromagnetic wave transmission, can be handled in this way, which not only ensures the convenience of operation, but also highlights the essential significance of physical quantities.

In statistics, the specific function of normalization is to summarize the statistical distribution of unified samples. The normalization between 0- 1 is a statistical probability distribution, and the normalization between-1-+ 1 is a statistical coordinate distribution.

Baidu Encyclopedia-Normalization Method