Ceiling Function Calculator
Result
About Ceiling Function
Definition
The ceiling function ⌈x⌉ returns the smallest integer greater than or equal to x.
Mathematical Notation
⌈x⌉ = min{n ∈ ℤ | n ≥ x}
Properties
- ⌈x⌉ ≥ x for all real numbers x
- ⌈x⌉ = x if and only if x is an integer
- ⌈x⌉ = -⌊-x⌋ (where ⌊x⌋ is the floor function)
- ⌈x + n⌉ = ⌈x⌉ + n for any integer n
Example Problems
Example 1: Positive Decimal
⌈3.7⌉ = 4
Explanation: 4 is the smallest integer greater than 3.7
Example 2: Negative Decimal
⌈-2.3⌉ = -2
Explanation: -2 is the smallest integer greater than -2.3
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