image processing
In fact, equalization is used to get a flat histogram independently of continuous or discrete distribution values, so what type of EQ you mean?
https://en.wikipedia.org/wiki/Histogram_equalization
That is an effect of discretization. Discrete histogram is an approximation of continuous probability density function and no new intensity levels are created in equalization process.
There is no pdf in discrete form, so, by summation of discrete probability you just spread it through whole range of gray level.
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