integer part

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For any real number x, there is a unique integer n such that nx < n+1. This integer n is the integer part of x, and isdenoted by [x]. For example, and [π]=3, but notice that In a computer language, the function INT(X) may convert the real number X into an integer by truncating. If so, INT(9/4)=2 and INT(PI)=3, but INT(−9/4)=−2. So INT(X) agrees with [x] for x≥0 but not for x < 0.The graph y=[x] is shown here.

Subjects: Mathematics.

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