By definition, continuity is defined by interval, but discrete is not. In other words, given a range, discrete can definitely find a finite number of values, while continuous is infinite. In our daily life, do we really have continuous values in our lives? Take the variable of time as an example. We generally think that time is continuous. It is indeed continuous. However, we cannot measure time as continuous with scientific measurement. That is to say, we even use microseconds. Seconds cannot strictly meet the definition of continuous, however, this does not prevent us from calculating. Because we can approximate the time with nanosecond intervals as continuous, because it is small enough. Therefore, in our real life, we can’t find continuous numerical values in a strict sense. Even if the matter we see with the naked eye is not composed of atoms, not only are atoms not the smallest, but there are also gaps. So we don’t need to study this carefully. Why do you think of this, because when we are doing statistical modeling, we generally only treat category attributes as discrete, and other attributes as continuous, but such values are not continuous in the strict sense, and we want to be able to Simplify calculations, usually as continuous.
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