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The ceiling function, denoted by \( \lceil x \rceil \), is a mathematical operation that rounds a real number up to the smallest integer greater than or equal to that number. The symbols \( \lceil \) and \( \rceil \) are used as delimiters to enclose the number or expression being evaluated.
Rounding 2.3 up to the nearest integer, which is 3.
\lceil 2.3 \rceil = 3
Rounding -1.5 up to the nearest integer, which is -1.
\lceil -1.5 \rceil = -1
The ceiling of the sum of x and y, representing the smallest integer greater than or equal to the sum.
\lceil x + y \rceil