# Tag Info

Tag Usage

Do not confuse normalization with or .

Overview

A set of discrete data $x_i$ ($i=1,2,\ldots,n$) can be normalized to $X_i$ through the following:

$$X_i = \frac{x_i}{\sum_{i=1}^n x_i}$$

A function $\mathcal{f}(x)$ can be normalized to a distribution $\mathcal{P}(x)$ in the following way:

$$\mathcal{P}(x) = \frac{\mathcal{f}(x)}{\int_{-\infty}^\infty \mathcal{f}(x) dx }$$

This assumes that the improper integral in the denominator can be appropriately dealt with through limits.