Definition: The word "additivity" refers to a property or quality that a quantity can add up to, meaning it's possible for a number of things to contribute to another quantity without the individual values added up as they are multiplied. In everyday language, the term often means something is consistent or stays the same in value. For example: - If you have 1 apple and then eat 2 apples, you would still be left with 1 apple. - A glass of milk will not change its volume because it's just a cup of liquid that contains water. However, when referring to mathematically, "additivity" typically refers to the property that can add up a finite amount to infinity. For example: - If you have n coins (think of them as apples and they're worth $x), then adding 3 more coins will give you x + 1. So in other words, if you have an infinite number of items (coins) and want to make a "new" total that's just the initial amount multiplied by itself, it works out.
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