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  text: 'The ceiling of a [real_number real number] $x,$ denoted $\\lceil x \\rceil$ or sometimes $\\operatorname{ceil}(x),$ is the first [integer] $n \\ge x.$ For example, $\\lceil 3.72 \\rceil = 4, \\lceil 4 \\rceil = 4,$ and $\\lceil -3.72 \\rceil = -3.$ In other words, the ceiling function rounds its input up to the nearest integer.\n\nFor the function that rounds its input down to the nearest integer, see [floor]. Ceiling and floor are not to be confused with [fix_towards_zero fix] and [ceilfix], which round towards and away from zero (respectively).\n\nFormally, ceiling is a [3jy function] of type $\\mathbb R \\to \\mathbb Z.$ The ceiling function can also be defined on [complex_number complex numbers].',
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