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Floor and Ceiling Function

Writer's picture: Sean Melvein A. VecinaSean Melvein A. Vecina

Floor Function - A function that takes an input as a real number and gives an output that is the greatest integer less than or equal to the number. It is denoted by the following symbols: [x], ⌊x⌋, floor(x) and [[x]]


Examples: ⌊1.9⌋ = 1 and ⌊2.6⌋ = 2


Ceiling Function - A function that takes an input as a real number and gives an output that is the least integer greater than or equal to the resulting number. It is denoted by the following symbols: ⌈x⌉, ]x[, and ]]x[[


Examples: ⌈8.1⌉ = 9 and ⌈1.1⌉ = 2


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