Math Floor Function
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Math Floor Function
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Floor Function the greatest integer that is less than or equal to x Likewise for Ceiling Ceiling Function the least integer that is greater than or equal to x As A Graph The Floor Function is this curious step function like an infinite staircase A solid dot means including and an open dot means not including Example at x 2 we meet The floor function also known as the greatest integer function lfloor cdot rfloor mathbb R to mathbb Z of a real number x denotes the greatest integer less than or equal to x For example lfloor 5 rfloor 5 lfloor 6 359 rfloor 6 left lfloor sqrt 7 right rfloor 2 lfloor pi rfloor 3 lfloor 13 42 rfloor
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