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There is no such thing as an interger.The ceiling function is a function which maps any variable x to the next integer, or the smallest integer greater than or equal to x. Why? Because that is how the function is defined. And there are many occasions when it is applied in normal life. If you require 3.2 cans of paint to paint a wall you will need to buy 4 cans, if a school wants to take 63 children and staff no a trip and a bus has only 30 seats, you will need three buses.

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