Question by  AaronCooper (26)

What is the greatest integer function?

Can you help me settle an argument with my brother about integer functions.


Answer by  cgroverla (516)

The function [x] is the greatest integer less than or equal to x. For example, [3]=3, [7. 5]=7, and [-3. 5] = -4.


Answer by  UpwardBoundPrecalcTutor (128)

The greatest integer function assigns to each real number, the largest integer less than or equal to the given number. Thus GreatestINTEGER(x) = n such that n is largest valued integer which satisfies n≤ x. For example GreatestINTEGER(3. 7)=3 , greatestinteger(13)=13,greatestinteger(17/5)=3, greatestinteger(-7. 6)= -8,greatestinteger(π)=3,greatestinteger(-π) = -4, greatestinteger(-10) = -10,greatestinteger(4/5)= 0.


Answer by  PowerIsMe (844)

Its essentially the floor function. Mathematically, its the largest integer not greater than the number itself. So for positive numbers, its just the integral part(7. 5==>7) For negative numbers, its one-less(-4. 5==>-5)

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