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What is Greatest Integer Function Explained about?

The document defines and provides properties of the greatest integer function (floor function) [x] and the fractional part function {x}. It states that [x] returns the greatest integer less than or equal to x, while {x} returns the fractional part of x after removing the greatest integer. Some key properties discussed include: - [x] is periodic with period 1 - {x} is periodic with period 1 - {-x} = 0 if x is an integer, and 1 - {x} if x is not an integer - [x + y] = [x] + [y] if {x} + {y} < 1, and [x] +

Author

MIIT JEE

Language

EN